7th TEKS Warm Ups - Printable.pdf

THANK YOU FOR YOUR PURCHASE! I hope that you find this resource helpful in your classroom. Please feel free to contact me with any questions as you implement this in your class. Maneuvering the Middle is an education blog with valuable tips for lesson planning,...

THANK YOU FOR YOUR PURCHASE! I hope that you find this resource helpful in your classroom. Please feel free to contact me with any questions as you implement this in your class. Maneuvering the Middle is an education blog with valuable tips for lesson planning, teacher organization, and math concepts in the middle school classroom. /ManeuveringTheMiddle /maneuveringthem @maneuveringthemiddle maneuveringthemiddle.com PLEASE PLEASE DO NOT Print and copy this resource for your Reproduce or distribute this resource personal classroom use only. to other colleagues. Save this to both home and school Post this on the internet in any form, computers. including classroom/personal websites, network drives, or other sharing websites Only post this only for students on a (i.e. Amazon Inspire, etc). password protected class website. ©Maneuvering the Middle LLC, 2012-Present Products by Maneuvering the Middle, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. If you wish to share this product with your team or colleagues, you may purchase additional licensing at a discounted rate. PA G E O N E  CLIPART AND FONT ATTRIBUTION Maneuvering the Middle resources include clipart and fonts from the following designers. M A N E U V E R I N G T H E M I D D L E.C O M PA G E T W O Name __________________________________ Date ______________________ Pd ____ 1 1. Match each phrase with the correct numerical representation. Use the number line to help: _____ -4 is located to the right of -7 a. 9 _____ the absolute value of -9 b. -5 ≤ 6 _____ 6 is greater than -5 c. -4 > -7 _____ 4 is located to the left of 7 d. 4 < 7 _____ |-2| e. 6 > -5 _____ -5 is less than or equal to 6 f. 2 _____ this number located 9 to the left of 0 g. -9 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 2 2. What percent describes the model below? 28 1. Scarlett was able to answer yes to of the 40 survey questions. Write this number as a decimal. 3. List two equivalent numbers in each column. 1 112% 0.50 3 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 3 1. Raffle tickets are sold in bundles of 8 for 2. Twelve gallons of gas cost $34.20. What is the $5.00. Write an equation and determine how many price per gallon of gas? tickets were purchased for $25.00. 3. A hot chocolate mix calls for 4 tablespoons of 4. Determine whether or not the ratios below are mix for every 3 cups of water. Write a ratio equivalent. equivalent to that of the hot chocolate mix. 36:3 and 24:4 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 4 1. Simplify the expression below: 2. Simplify the expression below: 2(3x – 5y) 3(7y + 4x) 3. Combine like terms: 4. Match the equivalent expressions below: x+x–x+y+y+y–z+z–z x+x+y+y–x 2y + 3x 2(x – 2y) 2x – 4y x+x+y+y+x x + 2y ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 5 1. Solve the following problems below: 2. Model the following multiplication problem using a number line. a. -27 – 2 = -6 # (-4) b. -81 ÷ (-9) = c. 49 ÷ (-7) = d. 12 · 8 = 3. Model the following addition problem using a number line. e. -17 + 9 = -7 + 5 f. -15 +(-8) = g. 29 · (-4) = ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 6 1. Use , or = to complete the inequality. 2. Solve a. 1 x 12 12 4 1 a. 14 ÷ = 2 b. Box the number above that determines which inequality to use. b. 14 # 2 = 3. Use , or = to complete the inequality. a. 18 x 5 18 What rule can you determine from the problems 6 above? b. Box the number above that determines which inequality to use. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 7 1. Solve the following: 2. Solve the following: a. 4 3 · = a. 13.7 # 4.9 = b. 71.4 ÷ 17 = 5 4 9 3 b. ÷ = 10 4 1 3. Three pizzas are being spilt amongst friends. Everyone will get of a pizza. How many friends can 4 eat pizza? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 8 1. Create two tables below with equivalent 2. Three dozen cookies require 4 cups of flour. ratios How many dozens of cookies can be made with 16 cups of flour? a. 4:7 b. 3:1 x y x y 3. The price of an 18-ounce drink is $2.34, which c. Graph table a. is a rate of _______ per ______________. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 9 1. Set up a proportion but do not solve: 2. Set up a proportion but do not solve: A random survey of the quality of city parks is Arlinda is participating in her school reading taken. Sixty-five percent of the people surveyed challenge. She reads 40 books in 6 months. If 26 were pleased with the condition of the parks. If of the books are fiction, then what percent of the 182 people were pleased, then how many were books that she read are non-fiction? surveyed? 3. At the end of the winter, coats are on sale for 75% off. If a heavy coat was priced at $160, then how much money will you save since it is on sale? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 10 1. A grown man will burn roughly 120 calories for 2. Suzie and her friends will go bowling. The cost each mile run. How many calories will be burned of renting the shoes is $8, and the cost of each when a grown man runs 6.5 miles? game is $2.50. How much will it cost them to bowl two games? a. What is the independent quantity? a. What is the independent quantity? b. What is the dependent quantity? b. What is the dependent quantity? c. Write an equation to describe the problem. c. Write an equation to describe the problem. d. Solve the equation. d. Solve the equation. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 11 1. Write an equation to represent the situation: 2. Solve the following equation: Brand A costs $46.29, and brand B costs 17x = 102 $42.89. What is the difference in the costs of brands A and B? 3. Solve and graph the following inequality: 4. Write an inequality to represent the situation: x - 15 ≥ 8 A theater rents their space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets that must be sold in order to make a profit? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 12 1. Determine if the equation is true if x=4. 2. Determine if the inequality is true if x=4. 2 + 6x = 28 x + 13 < 41 3. Write an equation to represent the situation: 4. Solve the following equation: The total cost of five equally priced DVDs is x + 8 = 23 $55. How much does each DVD cost? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 13 1. Find the volume of the shape below: 2. Find the area of the shape below. Break the larger shape into smaller pieces if needed. 9m 3 in 5.8 in 12 in 14 m 7m 16.1 m ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 14 1. Use the coordinate plane to answer the questions: a. The point (8, -2) is located in quadrant _____. b. If the point (4, 5) is reflected over the x-axis, then it will be in quadrant _____. c. Label point A at (0, -6) and point B at (-6, -7). d. How is (4, 3) different than (4, -3)? 2. How many kilograms are in 14,500 grams? 3. The NFL regulation extra point is kicked 12 yards from the goal. How many inches away from the goal is the extra point kick? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 15 1. Janice reviews her progress report and notices 2. Use the following box and whisker plot to the following grades: answer the questions below. 83, 96, 100, 72, 80, 75, 88, 88 Find the median of her grades. 12 17 26 35 47 3. Use the data in question 1 to find the mean of a. Q1 ______ her four lowest grades. b. Median ______ c. Range ______ d. Interquartile range ______ e. Q3 ______ ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 16 1. Use the following data to answer the questions 2. Lauren would like to have an average of 88 in below: her math class. There are five assignments with the following grades: 85, 100, 88, 80, 95. What 62 in, 58 in, 70 in, 55 in, 70 in grade will Lauren need to make on the last assignment to meet her goal? a. mean: b. median: c. range: d. Which number represents the data best? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 17 1. Place the following numbers in the appropriate 2. Use the information below to create a tree classification. diagram representing all the possibilities if you roll −1 the number cube and then spin the spinner. 15, 134, , 2.4, -18 3 WHOLE RATIONAL NUMBERS NUMBERS ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 18 1. Place the following numbers in the appropriate 2. Paula is ordering at Tasty Tacos. She must classification. choose a flour or corn tortilla and then either chicken, beef, or veggie. She may also choose to 1 3 add salsa or not. Create a table representing all 8.7, 4 , 33, −9 , -7.2, 11 5 10 of Paula’s options at Tasty Tacos. RATIONAL NUMBERS INTEGERS WHOLE NUMBERS ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 19 1. Place the following numbers in the appropriate 2. Use the information below to create a tree classification. diagram representing all the possibilities if you roll the number cube and then spin the spinner. 4 4, 0, -5, 11, , -19, 6.5 2 Green Blue Blue WHOLE RATIONAL Green NUMBERS NUMBERS ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 20 1. Place the following numbers in the appropriate 2. Mrs. McIntyre is getting her baby girl dressed classification. for a summer party. She can wear a dress, a 7 1 swimsuit, or a onesie with sandals, tennis shoes, 17, 9.5, , 3 , -29, 0 or flip flops. She can also wear a bow or a hat. 5 2 Make a table or a tree diagram to represent all the options for Mrs. McIntyre. RATIONAL NUMBERS INTEGERS WHOLE NUMBERS ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 21 1. Use the spinner to answer the questions below: 2. Two out of three dentists recommend a specific type of toothpaste. If 60 dentists are surveyed, then about how many dentists will recommend the same toothpaste? a. P(spinning an odd number): 3. A closet contains 3 red t-shirts, 5 blue t-shirts, and 2 black t-shirts. What is the probability of b. P’(spinning an odd number): choosing a red or blue t-shirt? c. How are the two responses above related? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 22 1. Use the picture to answer the questions below: 2. Jamie has 60 DVDs. Twenty are comedy, 20 are drama, 10 are westerns, and 10 are action. If she chooses a DVD to watch tonight, what is the probability that it will NOT be an action movie? a. P(choosing a fraction greater than 20%): 3. Donovan bought 4 of the 500 raffle tickets sold to win a new TV. What is the probability that he b. P’(choosing a fraction greater than 20%): will win the TV? c. How are the two responses above related? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 23 1. Use the pictures to answer the questions 2. A yogurt bar surveyed 430 customers to find below: their favorite toppings. If the probability of a person choosing sprinkles as their favorite 2 topping is , then about how many customers 5 surveyed chose sprinkles? a. P(selecting a vehicle with more than 2 wheels): 3. The letters in the word CUPCAKES are placed in a bag. What is the probability of randomly drawing a vowel? b. P’(selecting a vehicle with more than 2 wheels): c. How are the two responses above related? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 24 1. Use the picture to answer the questions below: 2. Khadi is playing a trivia game. There were 15 questions, of which she answers 4 incorrectly. At this rate, how many questions should Khadi expect to answer incorrectly if she answers a total of 135 questions? a. P(choosing a writing instrument): 3. For every $50 a customer spends, they get one entry into a raffle. If Mrs. Johnston spends $240, b. P’(choosing a writing instrument): and there are 280 entries, then what is the probability that Mrs. Johnston will win? c. How are the two responses above related? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 25 1. What is the theoretical probability of a coin 2. The results of an experiment are shown below. landing on tails three times in a row? Color Red Blue Yellow Green # Of Times What is the experimental probability of choosing a red marble? 3. Missy loves wearing mismatched socks. Each morning, she reaches into her drawer and selects one sock and then another. What is the probability of selecting a polka dot sock and then a solid sock? 8 polka dot socks 12 striped socks 10 solid socks ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 26 1. What is the theoretical probability of selecting 2. The results of an experiment are shown below. the letter M in the word MATHEMATICS? Color Red Blue Yellow Green # Of Times What is the experimental probability of choosing a yellow marble? 3. During the lunch rush at a local cafe, 22 out of the 40 customers were women. If the cafe serves 500 customers in a day, then about how many are expected to be women? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 27 1. What is the theoretical probability of a coin 2. The results of an experiment are shown below. landing on heads two times in a row? Roll 1 2 3 4 5 6 # of Times What is the experimental probability of rolling an odd number? 3. A box of crayons contains 4 pink crayons, 3 orange crayons, and 6 green crayons. A crayon is chosen and replaced, and then another crayon is chosen. What is the probability of selecting a pink crayon both times? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 28 1. What is the theoretical probability of rolling a 2 2. The results of an experiment are shown below. or a 5 on a six-sided number cube? Roll 1 2 3 4 5 6 # of Times What is the experimental probability of rolling an even number? 3. A city survey randomly selected 150 residents to determine their satisfaction with the city parks. Ninety-five residents marked that they were extremely satisfied. If there are 1,200 residents, then about how many are satisfied with the parks? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 29 1. Solve the following: 2. Solve the following: a. 231.8 b. 59.1 a. 4.97 b. 6.5 117 + 17.4 - 8.76 x 13 3. A credit card customer owes $325.60. They charge another purchase of $45.20. How much money does the customer owe? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 30 1. Solve the following: 2. Solve the following: a. 40.08 b. 29.3 a. 342 b. 7.3 47.45 + 13.2 - 13.84 x.25 3. A customer purchases a new computer and a warranty to protect it. The computer is priced at $1,486.25, and the warranty is $199.99. If the customer would like to pay this over a period of 18 months, then how much will each payment be? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 31 1. Solve the following: 2. Solve the following: 2 3 2 3 3 1 a. = a. 4 +1 = b. 6 − 3 = 3 4 3 5 4 2 1 1 b. ÷ = 8 4 1 1 3. Elizabeth pumps 3 gallons of gas and it fills her tank full. How many gallons does a full tank hold? 2 4 ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 32 1. Solve the following: 2. Solve the following: 1 5 7 1 1 3 a. 2 1 = a. 2 + 5 = b. 3 − 1 = 2 8 8 3 3 5 1 7 b. ÷ = 3 6 1 3. Mr. Langley is painting the exterior of his house. He uses 7 gallons of paint for the surface 2 2 and of a gallon of paint for the trim. He had estimated that he would use 11 gallons of paint. How 3 many gallons of paint was he away from his estimation? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 33 1. A baker’s dozen (13) of cupcakes is sold for 2. Plot the points and then answer the questions: $10.14. At this rate, how much does one cupcake (3, 6) (-2, -4) (1, 2) cost? 3. On a recent field trip, students paid $15 for each ticket. If $675 is the total cost, then how many tickets were purchased? a. Write an equation: a. Is this a proportional relationship? b. What is the constant of proportionality? b. What is the constant of proportionality? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 34 1. A serving size of goldfish crackers is 60 2. Plot the points and then answer the questions: crackers. The number of calories per serving is (1, -3) (-3, 9) (2, -6) 144. How many calories are in each goldfish cracker? 3. A cup of coffee costs $2.50. If the total cost is $17.50, then how many cups of coffee were purchased? a. Write an equation: a. Is this a proportional relationship? b. What is the constant of proportionality? b. What is the constant of proportionality? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 35 1. A package of 35 pencils costs $5.25. At this 2. Use the table below to answer the questions: rate, what is the cost of 1 pencil? x y 4 2 7 3.5 8 4 a. Is this a proportional relationship? 3. In a fundraiser, Mrs. Tarbell pledges $1 for each mile walked. If Tyson earns $20, then how many miles did he walk? b. What is the constant of proportionality? a. Write an equation: b. What is the constant of proportionality? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 36 1. A car wash washes 68 vehicles in an 8-hour 2. Use the table below to answer the questions: day. At this rate, how many vehicles are washed in 1 hour? x y -2 3 1 -3 2 -6 a. Is this a proportional relationship? 3. A frosted cookie costs $2. If the total cost is $18, then how many frosted cookies were purchased? a. What is the constant of proportionality? a. Write an equation: b. What is the constant of proportionality? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 37 1. Folgers Coffee is priced at $12.88 for 80 cups 2. A pancake recipe calls for 2 cups of flour for of coffee, and Seattle’s Best is priced at $9.00 every 1.5 cups of milk. Create a table that for 50 cups. Which brand of coffee is the better represents this relationship. value for each cup? FLOUR MILK 3. All of the letters in the alphabet are randomly 4. John and Clark have a lawn mowing company. placed in a bag. Each letter appears just once. John can mow 3 average-sized lawns in 4 hours. What is the ratio of vowels to consonants? Clark can mow 5 average-sized lawns in 6 hours. Who is faster? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 38 1. A baker’s dozen (13) of cookies is on sale for 2. There are 3 feet in every yard. Create a table $4.94. How much does each cookie cost? that represents this relationship. FEET YARDS 3. Determine if 12:16 and 72:96 are equivalent 4. A florist uses 160 roses to make 5 identical ratios. flower arrangements. How many roses would the florist use to create 8 identical arrangements? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 39 1. A light rail travels at a rate of 165 miles per 2. Each week, Hubert spends 10 minutes of hour. If the light rail travels for 3 hours, then how screen time for every 30 minutes of reading time. far did it go? Create a table to represent this relationship. SCREEN READING TIME TIME 3. At a hot dog stand, they serve regular and 4. In the Janet’s neighborhood, 65% of households footlong hot dogs at a ratio of 5 to 3. Based on have a landline phone. If there are 80 households this ratio, how many footlong hot dogs will be in the neighborhood, then how many have a served if there is a total of 120 hot dogs served? landline phone? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 40 1. Five gallons of lemonade cost $8.00, which is a 2. There are 8 fluid ounces in each cup. Create a rate of _______ per ____________. table to represent this relationship. FLUID CUPS OUNCES 3. Dessie is training for a triathlon. She runs 4 4. Of the 250 sheep in a flock, 34% are spotted. miles for every 9 miles she bikes. At the end of What is the total number of spotted sheep in the her training, she has run a total of 92 miles. How flock? many total miles did she bike and run? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 41 1. A store is offering 20% off of $100 purchases 2. During a Black Friday sale, Sophia picks up the or 30% off of $150 purchases. Using both last big screen TV. The man behind her in line discounts, how much more would you actually offers to give her 150% of what she paid in spend if you bought $150 worth of items instead exchange for the TV. If she paid $350, then how of $100? much did the man offer? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 42 1. A local clothing shop is marking down all of its summer clothes by 75%. Mila would like to purchase a swimsuit that is originally priced at $50. When she gets to the register, she signs up for a loyalty card that saves her an additional 10%. How much did she spend on the swimsuit after both discounts? a. Find the markdown price of the swimsuit. b. Then, find the markdown of the loyalty card. c. Subtract to find the final price. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 43 1. Mr. Torres tells his class of 24 that when they 2. The shoe department is offering a sale of 15% have completed the assignment they may read. At off all shoes. If Mrs. Jeffery saved $12.30, then the end of class, 40% of the class is reading. how much were the shoes full price? About how many students still need to complete their assignment? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 44 1 1. At a post-Thanksgiving Day sale, jeans are off. Hunter will purchase two shirts for 5 $18.95 each and a pair of jeans originally priced at $50. How much will Hunter spend before tax? 1 a. Convert to a percent. 5 b. Find the price of the jeans on sale. c. Find the total price of the jeans and two shirts. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 45 1. Use the graph to answer the question below: 2. Use the equation to answer the questions below: 200 y = 65x 180 x is the time in hours y is the number of miles DISTANCE (MILES) 160 140 What is the rate/slope? 120 100 80 60 3. Compare the rates in the graph and in the 40 equation. Describe your thinking. 20 1 2 3 4 5 6 7 8 9 10 TIME (HOURS) What is the rate/slope? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 46 1. Use the graph to answer the questions: 2. Use the graph to answer the questions: ©Maneuvering the Middle LLC, 2015 a. m= b. y-intercept= a. m= b. y-intercept= c. equation: c. equation: Name __________________________________ Date ______________________ Pd ____ 47 1. Use the graph to answer the question below: 2. Use the equation to answer the questions below: 200 y = 17x + 2 180 x is the gallons of gasoline y is the number of miles 160 DISTANCE (MILES) 140 What is the rate/slope? 120 100 80 60 3. Compare the rates in the graph and in the 40 equation. Describe your thinking. 20 1 2 3 4 5 6 7 8 9 10 GASOLINE (GALLONS) What is the rate/slope? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 48 1. Use the graph to answer the questions: 2. Use the graph to answer the questions: ©Maneuvering the Middle LLC, 2015 a. m= b. y-intercept= a. m= b. y-intercept= c. equation: c. equation: Name ___________________________________ Date _______________________ Pd ____ 49 1. Determine if the equation is true if x=4. 2. Determine if the inequality is true if x=4. 3 + 5x = 23 x + 19 6 3. Write an equation to represent the situation: 4. Solve the following equation: A shirt and an $18 pair of pants cost $33. -3x – 15 = 45 What is the price of the shirt? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 51 1. Determine if the equation is true if x=7. 2. Determine if the inequality is true if x=3. 3x – 6 = 15 24 – 2x ≤ 18 3. Write an equation to represent the situation: 4. Solve the following equation: Forty-two people are present at a school 6x + 14 = 80 event, and 28 of them are women. How many men were present at the school event? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 52 1. Determine if the equation is true if x=12. 2. Determine if the inequality is true if x=25. 3x – 10 = 16 x – 7 ≥ 15 3. Write an equation to represent the situation: 4. Solve the following equation: A taxi ride costs $6.50 total. The fare was -4x + 18 = 30 charged at $1.25 per mile. How many miles did the taxi travel? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 53 1. Solve for x. 2. Solve for x. 16x + 8 = 88 1.5x + 5 = 32 3. Use the model below to find the value of x in the equation 5x + 3 = 8. x x x 1 1 1 1 1 = x x 1 1 1 1 1 1 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 54 1. Solve for x. 2. Solve for x. 2.5x – 4 = 41 4x – 16 = -20 3. Use the model below to find the value of x in the equation 3x - 2 = -5. x -1 -1 -1 = x x -1 -1 -1 -1 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 55 1. Solve for x. 2. Solve for x. -5x – 12 = 32 1.5x – 8 = -0.5 3. Use the model below to find the value of x in the equation 2x + 4 = 7. 1 1 1 1 1 x x = 1 1 1 1 1 1 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 56 1. Solve for x. 2. Solve for x. 6x – 6 = -18 2x + 4 = -40 3. Use the model below to find the value of x in the equation 3x + 1 = -5. -1 -1 x -1 1 = -1 -1 x x ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 57 1. Determine if the inequality is true if x=6. 2. Determine if the inequality is true if x=4. 9 + 4x > 36 x + 19 < 22 3. Write an inequality to represent the situation: 4. Solve the following inequality: A theater rents their space for $250 per night. -3x + 10 < −2 If the company charges $8 per ticket, then what is the least number of tickets that must be sold in order to make a profit? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 58 1. Determine if the inequality is true if x=8. 2. Determine if the inequality is true if x=5. 2x – 6 ≤ 9 x+3>6 3. Write an inequality to represent the situation: 4. Solve the following inequality: Caleb saved his allowance and now has 3x + 7≤ −1 $76. He would like to purchase games for his DS. If games cost $16, then what is the maximum number of games he can purchase? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 59 1. Determine if the inequality is true if x=7. 2. Determine if the inequality is true if x=3. 3x – 6 ≥ 15 24 – 2x ≤ 18 3. Write an inequality to represent the situation: 4. Solve the following inequality: Mikey has $20 to spend at the movies. If the 8x – 2 < 30 ticket costs $12, then how much money can Mikey spend at the concession stand? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 60 1. Determine if the inequality is true if x=12. 2. Determine if the inequality is true if x=25. 3x – 10 > 18 -x – 17 ≥ 15 3. Write an inequality to represent the situation: 4. Solve the following inequality: Bethany has saved $800 in her savings 2x + 14 ≤ −18 account. She withdraws $80 per month to pay her cell phone bill. How many months can Bethany withdraw money for her cell phone bill? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 61 1. Solve for x. 2. Solve for x. 4.5x – 12 < 60 1.5x + 5 ≥ 32 3. Use the model below to find the value of x in the inequality 4x + 5 < 4. x x 1 1 1 1 1 < x x 1 1 1 1 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 62 1. Solve for x. 2. Solve for x. 1 x + 4 < 10 -4x – 16 ≥ −28 2 3. Use the model below to find the value of x in the inequality 3x + 4 > -8. 1 1 -1 -1 -1 -1 x > x x 1 1 -1 -1 -1 -1 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 63 1. Solve for x. 2. Solve for x. 3x – 15 > 48 -8x + 8 ≤ 52 3. Use the model below to find the value of x in the inequality 6 ≥ -2x + 2. 1 1 1 -x 1 ≥ 1 1 1 -x 1 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 64 1. Solve for x. 2. Solve for x. 9x – 18 < −162 1 x + 8 ≤ 40 4 3. Use the model below to find the value of x in the inequality -2x – 3 < 5. -1 -1 1 1 -x ≤ 1 -1 1 1 -x ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 65 1. The two rectangles below are similar. Find the 2. Use the scale factor of 1:3 to create a new missing side. figure. x 3 in 5 in 4 in 10 in 4.4 in 3. The shortest living domestic cat measures 133.4 millimeters. How many centimeters tall is the cat? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 66 1. The two triangles below are similar. Find the 2. Rectangle A and B are similar figures, where A missing side. is the original figure and B is the new figure. Find the area of rectangle B. 4.3 in 2.5 in 3.5 in 9 ft A x B 15 ft 5 ft x 3. Convert 18 quarts into pints. 10.5 in ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 67 1. A triangle is shown below. If the image is 2. Mr. Jackson is going to place a layer of mulch dilated by a scale factor of 1.5, then what is the in his garden. His blueprint shows the garden perimeter of the new triangle? below: 8 cm 5 cm 5m 4m 10 cm 3m If the blueprint has a scale factor of 1 cm:1.5 feet, then how many square feet of mulch does Mr. Jackson need? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 68 1. Rectangle R and S are similar figures, where R 2. Rectangle D and E are similar figures. Find the is the original figure and S is the new figure. Find perimeter of rectangle E. the perimeter of the original figure. 4.5 ft D x E 2.5 in R 10 in S 9 ft 31.5 ft x in 16 in 3. The world’s largest batch of mashed potatoes 4. The world’s largest truffle weighed in at weighs in at 36,752 ounces. How many pounds of 1,483.6 grams. How many milligrams did the mashed potatoes did this make? truffle weigh? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 69 1. Find the area of a circle with a radius of 3 cm. 2. Angle A measures 65o. What is its Use 3.1 for π. complementary angle measure? 3. If the circumference of a circle is 43.4 in, then 4. Triangle ABC has two 40o angles. What is the what is the diameter? Use 3.1 for π. measure of the third angle? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 70 1. Betsy’s Bakery sells world-famous cherry 2. Write an equation to determine the missing pies. Each pie is measured by its diameter. What angle, and then solve. is the distance around a 10-inch pie? Use 3.14 for π. 120o xo 3. A shipping company places circular labels 4. Write an equation to determine the missing on all of their products. Each label measures a 2- angle, and then solve. inch radius. If the company orders 20 labels, then how many square inches are needed? Use 3.1 for π. 60o xo ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 71 1. The area of a circle is 49.6 square 2. Determine the missing angle, x. centimeters. What is the diameter? Use 3.1 for π. 40o xo 65o 3. Find the area of the circle below. Use 3.1 for π. 4. Triangle ABC is a right isosceles triangle. What are the measures of the three angles? 6m ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 72 1. A sprinkler sprays the lawn in a rotating circle. 2. Write an equation to determine the missing If the sprinkler shoots water 10 feet, then what angle, and then solve. area of the lawn is getting watered? Use 3.14 for π. 84o 3. A ribbon is lining the outside of a circular 4. Triangle MLN is an isosceles triangle with object. If the object has a radius of 7 cm, then congruent sides LM and LN. Angle L measures how long should the ribbon be? Use 3.14 for π. 30o. What is the measure of angles M and N? L M N ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 73 1. Find the area of the shaded region. Use 3.1 for 2. Find the area of the shape below. Break the π. larger shape into smaller pieces if needed. 12m 6m 4m 1 8 m 4 3. A new homeowner is mulching rectangular flower bed in his backyard. The flower bed is 9 feet long and 3.5 feet wide. How many square 12 m feet will need to be covered in mulch? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 74 1. Find the distance around the racetrack. Use 2. Find the area of the shape below. Break the 3.1 for π. larger shape into smaller pieces if needed. 8.4 m 30 m 8m 100 m 4m 3. Marie is redecorating her bedroom and decides 11.4 m to paint 3 of the walls. Each of the walls measure 12 feet by 10 feet. How many square feet will she need to paint? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 75 1. A cloth is covered with 6 identical circles, as 2. Find the area of the shape below. Break the shown below. What is the area of the fabric that larger shape into smaller pieces if needed. is not covered by circles? 18 ft 6.5 m 2ft 6.5 m 12 ft 6.5 m 9m ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 76 1. Find the area of the shaded region below: 2. Find the area of the shape below. Break the larger shape into smaller pieces if needed. 2m 2m 10 in 6m 8m 4.3 in 10 m 3. Hans is placing tile in a small rectangular room. The room measures 8 feet by 5.5 feet. If one- square-foot tiles are sold in packages of 12, then how many packages will he need? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 77 1. Find the surface area of the triangular prism 2. Find the lateral surface area of the rectangular below. prism below. (The bases of the prism are shaded.) 18 cm 6.7 cm 6 cm 7.2 in h = 6 cm 6.7 cm 3 in 4 in ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 78 1. Find the surface area of the rectangular prism 2. Find the lateral surface area of the square below. pyramid below. h = 5 in 4.7 m 9.2 m 4.1 in 5.4 m ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 79 1. Find the surface area of the rectangular 2. Find the surface area of the triangular prism pyramid. below. 4 in 4 in 5.4 in 4.6 in 4 in 6 in 8 in h = 5 in ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 80 1. Find the lateral surface area of the triangular 2. Find the surface area of the cube below. pyramid. h = 5.2 cm 2.1 in 6 cm ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 81 1. A fish tank has the following measurements: 2. Find the volume of the package below. 8 in 3 in 8 in 6.2 in 22 in 14 in If you only fill the tank up halfway, then how many cubic inches of water will you need? ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 82 1. What is the volume of the triangular prism 2. Find the missing height of the shoe box if its below? volume is 1,536 in3. h = 3.2 m 8 in 7m 16 in 4m ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 83 1. Mr. White’s class collected tissue boxes. The 2. What is the volume of the rectangular pyramid class brought in a total of 20 boxes. If the tissue below with a height of 5 ft? box dimensions are listed below, then how much space will Mr. Jones need? 4 in 4 ft 5 ft 7 in 3 in ©Maneuvering the Middle LLC, 2015 Name ___________________________________ Date _______________________ Pd ____ 84 1. What is the volume of the triangular pyramid 2. The triangular prism below is filled halfway below? with water. What is the volume of the water? 5 ft h = 2 ft 21 cm 2 ft 9 cm 11 cm ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 85 1. Nanette’s parents are tracking her screen time to determine a fair amount. They have recorded the number of minutes she is on her device each day for a period of two weeks. Nanette 30, 15, 45, 60, 60, 30, 15, 20, 35, 25, 45, 50, 30, 25 Make a dot plot to show Nanette’s screen time. Then, make a recommendation for her parents based on the data. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 86 1. A school survey is conducted to determine students’ favorite local restaurant. BURGER TACO PIZZA CHOOSEY RESTAURANT YUM TASTE PIE CHICKEN VOTES 904 1352 632 128 Use the data to create a bar graph. Then, write 1 true statement and 1 false statement about the data. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 87 1. The table below shows library card holders in three separate towns. TOWN 1990 2000 2010 ALLENDALE 891 925 1,009 BRICKMAN 622 956 1,419 CHESTNUT 358 320 309 Write three comparison statements using the information from the table. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 88 1. The circle graph below shows the percentages of Mrs. Zilker’s family budget. Write two true statements and two false statements about the data. RENT 35% FUEL 15% UTILITIES GROCERIES 20% 25% OTHER 5% ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 89 1. The box box plots below compare the number 2. The number of minutes playing video games per of minutes a customer has to wait on hold for day is shown below: assistance. 0 45 20 60 30 15 0 15 30 COMPANY A 30 40 30 25 10 0 30 50 40 COMPANY B Create a dot plot. 0 5 10 15 What differences do you notice? Which company would you rather call for assistance? a. What patterns do you notice? b. Describe the shape of the data plotted. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 90 1. Create a dot plot given the data below. 2. Rieko would like to have an average of 86 in his math class. There are four assignments with the GRADE ON GEOMETRY QUIZ following grades: 82, 93, 75, 82. What grade will Rieko need to make on the last assignment to meet 65 70 35 80 55 60 70 75 his goal? 70 60 60 65 80 65 70 70 a. What patterns do you notice? b. Describe the shape of the data plotted. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 91 1. The list below shows the number of days each 2. Mrs. McKinney is comparing the grades from week that various homeowners water their lawns. her 1st and 5th period classes. She has the data What is the difference between the mode and below: mean of this data? 1st Period 75, 82, 88, 60, 75, 90, 82, 92 # OF DAYS 5th Period 84, 93, 100, 100, 88, 90, 94 3 Create a box and whisker plot. Then, compare the 0 two sets of data. Describe the variability between 1 her two classes. 4 3 2 3 ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 92 1. The box plots below compare the weekly 2. The list below shows the number of patrons at earnings of two employees. a local diner each Monday for 6 consecutive weeks. COMPANY A 98, 120, 88, 92, 101, 79 COMPANY B Which two measures of data will be the best prediction for the following year? 80 120 160 200 What differences do you notice? Which company would you rather work for? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 93 1. The table below lists all of Michelle’s expenses. 2. What percentage of Michelle’s total budget is Categorize them and find the total of each housing/utilities? category. Mortgage: $750 Water: $20 Electricity: $80 Cell Phone: $75 Clothes: $40 Groceries: $350 Car Payment: $220 Retirement: $150 Gas: $165 Entertainment: $150 Housing/Utilities Miscellaneous 3. The tax rate in Austin, Texas is 8.25%. If the subtotal of a clothing purchase is $62.00, then how much will be paid in sales tax? Food Car Expenses ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 94 1. Use the information below to organize Jackson’s net worth in the chart below. Jackson owes $95,000 on his house that is valued at $110,000. He drives an $8,000 car, which is paid off. He owes $2,500 in credit card debt. He has a checking account balance of $1,200. The value in his 401K at work is $4,400. He owns modest furnishings, which are valued at $2,800. ASSETS LIABILITIES TOTAL ASSETS TOTAL LIABILITIES NET WORTH ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 95 1. Alex lives at home with his parents and works 2. What percentage of Alex’s total budget is for to pay for his own school. Organize all of his school-related expenses? money into categories. Rent to Parents: $200 Dining Out: $150 Tuition: $650 Cell Phone: $75 Books: $150 Spending Money: $75 Gas: $100 Wages: $1,400 Living Expenses School 3. The tax rate in Arlington, Texas is 8.0%. If the subtotal of a school supply purchase is $34.60, then how much will be paid after taxes? Income Transportation ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 96 1. Use the information below to organize Ariel’s net worth in the chart below. Ariel owes $120,000 on her house that is valued at $115,000. She drives a $15,000 car, which she owes $8,000 on. She doesn’t have any credit card debt. She has a checking account balance of $4,500. She has a balance in her 401K of $21,000. She was given an antique necklace valued at $12,000. ASSETS LIABILITIES TOTAL ASSETS TOTAL LIABILITIES NET WORTH ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 97 1. A family estimates that it needs to bring in 2. At a back-to-school sale, backpacks are $3,200 per month in order to meet their needs. marked down 15%. If the original price was $34, Both parents would like to work 40 hours per then what is the sale price? week. What is the minimum amount each parent needs to earn per hour in order to provide for their family’s needs? 3. Frieda would like to invest $200 per year. Her savings account will earn 3% simple interest. How much will Frieda have earned at the end of the year? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 98 1. Melanie is offered a job that will pay $15.00 2. A retailer is offering 5% off if you sign up for per hour, plus one-and-a-half times that for their email list. If your total is $254.20, then how overtime. Her regular hourly rate applies to the much will you save by signing up? first 40 hours, then she earns her overtime rate. How much will she earn if she works 45 hours each week for a month? 3. Describe the difference between simple and compound interest. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 99 1. Shelia is a single mom who is working to 2. A store offers an additional 10% off if you provide for her two children. She earns an annual spend $100. If you spend $150, then you get 15% salary of $40,000, which is paid twice a month. off. What is the difference in costs of spending About how much does she earn in each paycheck $150 versus $100 and getting the discounts? before taxes? What is her monthly income? 3. Calculate the compound interest of investing $500 per year for 2 years and earning 8% interest. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 100 1. Francesca needs to earn $1,500 per month in 2. Which is a better deal: a bike for $89.00 or a order to help her family meet their basic needs. $125 bike on sale for 20% off? She can only work 15 hours per week. Assuming there are 4 weeks in a month, what is the minimum amount she can earn per hour in order to meet her family’s basic needs? 3. Juan would like to invest $500 each month for a year. His savings account will earn 6% simple interest. How much will Juan have earned at the end of 3 years? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 101 1. Place the following numbers in the appropriate 2. Use the information below to create a tree classification. diagram representing all the possibilities if you roll the number cube and then spin the spinner. 3 8 6.7, 0, -13, , 9.01, 4 2 RATIONAL NUMBERS INTEGERS WHOLE NUMBERS ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 102 1. Use the picture to answer the questions below: 2. Game cards from the same deck each have a different shape on them. Twelve have a diamond, 8 have a square, and 5 have a circle. What is the probability of drawing a square or a circle? a. P(choosing a fraction greater than 40%): 3. The word “school” is spelled in letter tiles. If one letter is chosen at random, then what is the b. P’(choosing a fraction greater than 40%): probability that it is an “o”? c. How are the two responses above related? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 103 1. What is the theoretical probability of a coin 2. The results of an experiment are shown below. landing on heads four times in a row? Color Red Blue Yellow Green # Of Times What is the experimental probability of choosing a blue marble? 3. Game cards from the same deck each have a different shape on them. Twelve have a diamond, 8 have a square, and 5 have a circle. What is the probability of drawing a circle, replacing it, and drawing a diamond? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 104 1. Solve the following: 2. Solve the following: a. 56.08 b. 1 a. 514 b. 4 2 8 ÷ = 2 x.36 9 3 + 27.83 4 -3 5 3. Mr. Wilson owes $288.40 on his credit card. He would like to make 4 equal payments. How much will each payment be? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 105 1. A 32-ounce soft drink costs $1.83. 2. Plot the points and then answer the questions: Approximately what is the price per ounce? (4, 8) (1, 2) (-1, -2) 3. An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, how many tickets were purchase? a. Write an equation: a. Is this a proportional relationship? b. What is the constant of proportionality? b. What is the constant of proportionality? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 106 1. A baker’s dozen (13) of cookies is on sale for 2. There are 12 inches in every foot. Create a $4.94. How much does each cookie cost? table that represents this relationship. Feet Inches 3. Determine if 18:32 and 54:86 are equivalent 4. A florist uses 240 roses to make 8 identical ratios. flower arrangements. How many roses would the florist use to create 13 identical arrangements? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 107 1. At East Middle School, 28% of the students are 2. On a soccer team, 40% of the goals are in the band. If 168 students are in the band, then scored by the star player on the team. If 70 goals how many students go to East Middle School? are scored all season, then how many are scored by the rest of the team? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 108 1. Use the graph to answer the question below: 2. Use the equation to answer the questions below: 200 y = 35x 180 x is the time in hours DISTANCE (MILES) 160 y is the number of miles 140 120 What is the rate/slope? 100 80 60 3. Compare the rate in the graph and the 40 equation. Describe your thinking. 20 1 2 3 4 5 6 7 8 9 10 TIME (HOURS) What is the rate/slope? ©Maneuvering the Middle LLC, 2015 Name _________________________________ Date _______________________ Pd ____ 109 1. Determine if the equation is true if x=6. 2. Determine if the inequality is true if x=9. 3 + 4x = 26 x + 19 > 22 3. Write an equation to represent the situation: 4. Solve the following equation: The total of 3 pairs of sandals is $56.00. Each -3x + 15 = -60 pair is priced the same. How much does each pair of sandals cost? ©Maneuvering the Middle LLC, 2015 Name _________________________________ Date _______________________ Pd ____ 110 1. Solve for x. 2. Solve for x. 5x – 9 = 38 4x + 8 = -22 3. Use the model below to find the value of x in the equation 4x – 2 = -10. x x -1 -1 -1 -1 -1 -1 = x x -1 -1 -1 -1 -1 -1 ©Maneuvering the Middle LLC, 2015 Name _________________________________ Date _______________________ Pd ____ 111 1. Determine if the inequality is true if x=-3. 2. Determine if the inequality is true if x=9. 9 + 4x > 11 2x – 17 < 6 3. Write an inequality to represent the situation: 4. Solve the following inequality: Hayden has saved up $30.00 in allowance -4x + 16 < 80 money. He would like to purchase a $9.00 music album and then spend the rest of the money on $1.50 apps. How many apps can Hayden purchase? ©Maneuvering the Middle LLC, 2015 Name _________________________________ Date _______________________ Pd ____ 112 1. Find the scale factor. 8 2. The rectangle is dilated by a scale factor of. 5 What are the dimensions of the new figure? 3 4 1 in in 5 5 1 5 in 6.1 ft 2 in 2 10.2 ft 3. Convert 30 pints into quarts. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 113 1. Find the area of a circle with a diameter of 7 2. Angle A measures 123o. What is its cm. Use 3.1 for π. supplementary angle measure? 3. If the circumference of a circle is 37.2 in, 4. Triangle ABC has two 36o angles. What is the then what is the radius? Use 3.1 for π. measure of the third angle? ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 114 1. Find the distance around the racetrack. Use 2. The gray portion represents a path going 3.1 for π. through a square flower bed. How many square feet of pebbles will be needed for the path? 26 m 85 m 9 ft 3. A can of paint covers about 350 square feet and costs $18.75. If Andrew is painting roughly 2,345 square feet, then how much will he spend on paint? 6.3 ft ©Maneuvering the Middle LLC, 2015 Name _________________________________ Date _______________________ Pd ____ 115 1. Find the surface area of the triangular prism 2. Find the lateral surface area of the rectangular below. prism below. (The bases of the prism are shaded) 15.2 m 5.4 cm 4 cm 8.05 in h = 5 cm 4 in 5.4 cm 5 in ©Maneuvering the Middle LLC, 2015 Name _________________________________ Date _______________________ Pd ____ 116 1. What is the volume of the triangular prism 2. Find the missing width of the kids’ shoe box, if below? its volume is 204 in3. h = 6.7 m 6 in 12.4 m 8.5 in 8m ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 117 1. At Sherbrook Middle School, students are tracking their reading minutes over a 2-week period. Carly has recorded her reading minutes below. Carly 20, 45, 35, 15, 0, 25, 35, 20, 20, 30, 35, 15, 25, 30 Make a dot plot to show Carly’s reading. Then, make a recommendation for her parents based on the data. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 118 1. Create a dot plot given the data below. 2. Heather would like to have an average of 90 in her science class. There are four assignments GRADE ON VOCABULARY QUIZ with the following grades: 82, 95, 88, 86. What grade will Heather need to make on the last 80 70 85 80 60 90 95 100 assignment to meet her goal? 80 60 90 90 85 85 90 75 a. What patterns do you notice? b. Describe the shape of the data plotted. ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 119 1. The table below lists all of Michelle’s expenses. 2. What percentage of Michelle’s total budget is Categorize them and find the total of each housing? category. Mortgage: $1,200 Water: $60 Electricity: $120 Cell Phone: $75 Clothes: $100 Groceries: $400 Car Payment: $345 Retirement: $250 Gas: $250 Entertainment: $200 Housing/Utilities Miscellaneous 3. The state tax rate is 6.25%. If the subtotal of a furniture purchase is $863.14, about how much will be paid in sales tax? Food Car Expenses ©Maneuvering the Middle LLC, 2015 Name __________________________________ Date ______________________ Pd ____ 120 1. Ricardo is offered a job that will pay $9.50 per 2. A retailer is offering 30% off your first order. hour, plus one-and-a-half times that for overtime. If your total is $163.38, about how much will you His regular hourly rate applies to the first 40 save? hours, then he earns her overtime rate. How much will he earn if he works 45 hours each week for a month? 3. Describe the difference between fixed and variable expenses. ©Maneuvering the Middle LLC, 2015