Podcast
Questions and Answers
How long will Grandma's scarf be when it is completed if she has knit 10 inches and has 38 inches left to finish?
How long will Grandma's scarf be when it is completed if she has knit 10 inches and has 38 inches left to finish?
48
How old is Lee if he is 32 years younger than his mother, who is 67 years old?
How old is Lee if he is 32 years younger than his mother, who is 67 years old?
35
How many ounces of gold are needed to be worth $20 if gold costs $10 per ounce?
How many ounces of gold are needed to be worth $20 if gold costs $10 per ounce?
2
How much does Joella's sister make per hour if Joella makes $12 per hour, which is $2 more than her sister?
How much does Joella's sister make per hour if Joella makes $12 per hour, which is $2 more than her sister?
How many pictures can be stored on 7 DVDs if one DVD can save 130 pictures?
How many pictures can be stored on 7 DVDs if one DVD can save 130 pictures?
What was the enrollment at Texas A&M University if the enrollment at the University of Texas, Austin, was 51,112 and is 11,245 more?
What was the enrollment at Texas A&M University if the enrollment at the University of Texas, Austin, was 51,112 and is 11,245 more?
How many goldfish can the pet store keep if it has 19 tanks and can place 12 fish in each tank?
How many goldfish can the pet store keep if it has 19 tanks and can place 12 fish in each tank?
How many people entered the park after the first hour if 2,120 entered in the first hour and a total of 8,596 entered by the end of the day?
How many people entered the park after the first hour if 2,120 entered in the first hour and a total of 8,596 entered by the end of the day?
How long is Devery's rafting trip if she has rafted 12 miles and has 16 miles left to go?
How long is Devery's rafting trip if she has rafted 12 miles and has 16 miles left to go?
What was Sandy's average score per turn if her total score for the last 7 turns was 154 points?
What was Sandy's average score per turn if her total score for the last 7 turns was 154 points?
How many band members are there if there are seven tuba players and 51 band members who play other instruments?
How many band members are there if there are seven tuba players and 51 band members who play other instruments?
How long is the other piece of bread if one piece is 9 inches long and the loaf is 24 inches long?
How long is the other piece of bread if one piece is 9 inches long and the loaf is 24 inches long?
How many total stops are there on the train route if it has made 11 stops and will make another 23 stops?
How many total stops are there on the train route if it has made 11 stops and will make another 23 stops?
What is the area of Texas if it is approximately 5 times the area of Arkansas, which is 53,178 square miles?
What is the area of Texas if it is approximately 5 times the area of Arkansas, which is 53,178 square miles?
What was the total attendance at the game before the fans began to leave if there are still 6,700 fans in attendance and 2,500 fans have left?
What was the total attendance at the game before the fans began to leave if there are still 6,700 fans in attendance and 2,500 fans have left?
What was the average number of points per minute for the Houston Rockets if they scored 72 points in the second half?
What was the average number of points per minute for the Houston Rockets if they scored 72 points in the second half?
How many total students are in honors algebra if three-fourths of them are eighth graders and there are 21 eighth graders?
How many total students are in honors algebra if three-fourths of them are eighth graders and there are 21 eighth graders?
How many pillowcases can be made from 16 yards of fabric if it takes two-thirds of a yard to make one pillowcase?
How many pillowcases can be made from 16 yards of fabric if it takes two-thirds of a yard to make one pillowcase?
How many two-dollar bills does Kiesha have if she has $250 in her teller drawer?
How many two-dollar bills does Kiesha have if she has $250 in her teller drawer?
How many books can be displayed on 6 shelves if 22 books fit on one shelf?
How many books can be displayed on 6 shelves if 22 books fit on one shelf?
How many holiday decorations did McKenzie have out if she has put away 36 decorations and still has 97 left to put away?
How many holiday decorations did McKenzie have out if she has put away 36 decorations and still has 97 left to put away?
How many pounds would the average American compost in 90 days if they compost about 1.5 pounds of trash per day?
How many pounds would the average American compost in 90 days if they compost about 1.5 pounds of trash per day?
How many days would it take a 1,000-pound horse to eat 400 pounds of hay if it eats about 25 pounds of hay a day?
How many days would it take a 1,000-pound horse to eat 400 pounds of hay if it eats about 25 pounds of hay a day?
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Study Notes
Algebra Word Problems Overview
- Represents word problems that can be formulated into algebraic equations for solutions.
- Each card presents a specific problem, variable to solve for (x), and context to derive logical calculations.
Notable Examples
-
Grandma's Scarf
- Grandma has knit 10 inches of a scarf, with 38 inches remaining.
- Total length of the scarf: 10 + 38 = 48 inches.
-
Lee's Age
- Lee is 32 years younger than his mother, who is 67 years old.
- Lee's age: 67 - 32 = 35 years.
-
Gold Value
- Gold costs $10 per ounce; how many ounces for $20?
- Ounces needed: $20 ÷ $10 = 2 ounces.
-
Joella and Her Sister's Earnings
- Joella earns $12 per hour, which is $2 more than her sister.
- Sister's earning: $12 - $2 = $10 per hour.
-
Picture Storage Capacity
- One DVD saves 130 pictures; for 7 DVDs: 130 × 7 = 910 pictures.
Enrollment Figures
- University of Texas Enrollment
- 2011 enrollment was 51,112, which is 11,245 more than Texas A&M's.
- Texas A&M enrollment: 51,112 - 11,245 = 39,867.
Pet Store Inventory
- Goldfish Tanks
- 19 tanks with 12 fish each can accommodate: 19 × 12 = 228 goldfish.
Amusement Park Attendance
- Visitor Count
- 2,120 people attended in the first hour, total attendance of 8,596.
- Number entering after the first hour: 8,596 - 2,120 = 6,476.
Rafting Distance
- Total Trip
- Rafted 12 miles, with 16 miles remaining to complete the trip.
- Total trip length: 12 + 16 = 30 miles.
Word Game Scoring
- Sandy's Average Score
- Sandy scored a total of 154 points over 7 turns.
- Average score per turn: 154 ÷ 7 = 22 points.
Band Members
- High School Band Composition
- 7 tuba players among 51 others.
- Total band members: 51 + 7 = 58.
Bread Length Calculation
- Bread Pieces
- A 24-inch long loaf cut into a 9-inch piece leaves: 24 - 9 = 15 inches for the other piece.
Train Stops
- Elroy's Journey
- 11 stops made, with 23 more before reaching the destination.
- Total stops: 11 + 23 = 34.
Texas Area Comparison
- State Areas
- Texas is approximately 5 times the area of Arkansas (53,178 square miles).
- Area of Texas: 5 × 53,178 = 265,890 square miles.
Football Game Attendance
- Attendance Before Exits
- 6,700 fans still at the game, with 2,500 who left.
- Total attendance: 6,700 + 2,500 = 9,200.
Rockets' Scoring Average
- Average Points Calculation
- Scored 72 points in a half of 24 minutes.
- Average points per minute: 72 ÷ 24 = 3 points.
Student Demographics
- Honors Algebra Class Composition
- Three-fourths are eighth graders, with 21 eighth graders in total.
- Total students in honors algebra: 21 ÷ (3/4) = 28 students.
Pillowcases from Fabric
- Fabric Yield
- Each pillowcase requires two-thirds of a yard; from 16 yards:
- Number of pillowcases: 16 ÷ (2/3) = 24 pillowcases.
Bank Teller Bills
- Two-Dollar Bills
- Kiesha has $250 in two-dollar bills.
- Total bills: $250 ÷ 2 = 125 bills.
Library Book Display
- Shelf Capacity
- 22 books fit on one shelf; for 6 shelves:
- Total books displayed: 22 × 6 = 132 books.
Holiday Decoration Storage
- McKenzie's Decorations
- 36 decorations stored, 97 still out.
- Total decorations: 36 + 97 = 133 decorations.
Composting Amount
- Average American Waste
- 1.5 pounds of trash composted daily over 90 days.
- Total weight composted: 1.5 × 90 = 135 pounds.
Daily Hay Consumption of a Horse
- Hay Consumption Calculation
- A 1,000-pound horse consumes 25 pounds of hay daily.
- Days to eat 400 pounds: 400 ÷ 25 = 16 days.
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