Desmos Foundations of PreAlgebra Fall Exam Review Packet PDF

## desmos ### Foundations of PreAlgebra Fall Exam Review Packet ### Unit 1 Review Problems: 1. Circle all the scaled copies of rectangle A. - **A** 2m by 8m - **B** 3m by 12m - **C** 4m by 16m - **E** 3m by 9m 2. Polygon EFGH is a scaled copy of polygon ABCD. Select all of the true stat...

## desmos ### Foundations of PreAlgebra Fall Exam Review Packet ### Unit 1 Review Problems: 1. Circle all the scaled copies of rectangle A. - **A** 2m by 8m - **B** 3m by 12m - **C** 4m by 16m - **E** 3m by 9m 2. Polygon EFGH is a scaled copy of polygon ABCD. Select all of the true statements. - Segment GH is three times as long as segment AB. - The scale factor from EFGH to ABCD is 1/3. 3. A scale drawing of a rectangular park is 8 inches wide and 11 inches long. The actual park is 330 yards long. What is its area? - 79,200 square yards. ### Unit 2 Review Problems: 1. Which graph represents a proportional relationship? - A straight line that starts at the origin (0,0). 2. This graph shows the cost in dollars, C, of w pounds of strawberries. The relationship is proportional. Select all of the true statements. - 1 pound of strawberries costs $3.25. - 4 pounds of strawberries cost $13. 3. Abdullah walked to school at a constant speed. He walked 1 mile in 15 minutes. Which equation represents the amount of time in minutes, t, that it took for him to walk a distance of *d* miles? - t = 1/15d. 4. These two lines represent the distance two runners ran in a race. Which runner ran more slowly? Circle one runner. - Runner F - The slope of line F is not as steep. 5. The table shows the weight of 100 blueberries at a market. Complete the table so that there is a proportional relationship between the number of blueberries and their weight. - Number of Blueberries | Weight (kg) ------- | -------- 60 | 0.36 100 | 0.60 400 | 2.4 6. The equation p = 2.22x relates mass in pounds, p, to mass in kilograms, x. Is there a proportional relationship between p and x? Explain or show your thinking. - Yes, there is no addition or subtraction in this equation. The COP= 2.22. ### Unit 3 Review Problems: 1. A circle has a radius of 40 centimeters. Which of these is closest to its circumference? - 251 centimeters 2. This circle has a radius of 6 units. Three students tried to calculate the area. Order their answers from least accurate to most accurate. - 113.1π sq. units - 113.1 sq. units - 36π sq. units 3. Arjun measured the distance that a wheel traveled in different numbers of rotations. Select all of the true statements. - The circumference of the wheel is 31.5 inches. - The diameter of the wheel is about 10 inches. - The relationship in the table appears to be proportional. Decide whether each quantity describes a circle's circumference or area. - There could be human error when measuring. 4.1 The amount of glass in a circular window. - **Area** 4.2 The number of tiles needed to go around a circular pool. - **Circumference** 4.3 The amount of paint needed to paint a circular table top. - **Area** 4.4 The distance a toy car travels around a circular track. - **Circumference** 5. Which measurement is always proportional to the diameter of a circle? - Circumference - C= π*d, proportional - A= π*r^2, squared is not proportional 6. This figure is made of part of a circle and a rectangle. - Perimeter - 16+4π or 28.56 units - Area - 32+8π or 57.12 units^2 ### Unit 4 Review Problems: 1. A pencil is 120 millimeters long. A marker is 9% longer than the pencil. How long is the marker? - 130.8 mm 2. Kayleen is mowing a field. After mowing 1/8 of the field, she used 1/2 of a gallon of gas. Select all of the true statements. - Mowing the entire field requires 4 gallons of gas. - Each gallon of gas will mow 1/4 of the field. - 3 gallons of gas will mow 50% of the field. 3. The temperature in a room is 20.0°C. A thermometer measures it as 20.8°C. What is the percent error in this situation? - 4% 4. Na'ilah purchases a rug that costs $50. A 10% sales tax is applied. After the tax, Na'ilah uses a 10% off coupon. She will pay: - Less than $50. - 50+5 = 55 55-.5.5 = 49.5 5. The population of Bristol, PA, is about 53,110 people. Thirty years ago, the population was about 56,500 people. By what percent did the population decrease between thirty years ago and now? - 6%. - 53110/56500 = 0.94. 100 = 94%. ### INTERMEDIATE: ## Unit 1 - Brielle needs to tile the bottom of Pool A. One box of tile covers 25 square feet. - Pool A is a circular pool with a 6-foot radius. - What is the fewest number of boxes Brielle must buy to cover the bottom of Pool A? - 5 boxes of tiles. - Pool B is a circular pool with a 12-foot radius. - Brielle says she will need four times as much tile for Pool B compared to Pool A. Is this correct? - Yes. - 4.5 * 4 = 18 ## Unit 3 - The diameter of Charlie's circular fish pond is 6.3 meters. He wants to build a 0.8 meter wide concrete sidewalk that circles the pond. - What will be the distance around the outside edge of the concrete sidewalk? Use π ≈ 3.14 and round to the nearest hundredth if needed. - C = π * D - C = 3.14 * 7.9 - C = 24.83 meters - How many square meters of concrete will Philip need to build his sidewalk? Use π ≈ 3.14 and round to the nearest hundredth if needed. - A = π * r^2 - A = 3.14 * 3.95^2 - A = 48.99 - A = 3.14 * 3.15^2 - A = 31.16 - 48.99 - 31.16 = 17.83 m^2 ## Unit 4 - Helen is painting her room. After painting 20% of her room, Dalia has used 75% of a can of paint. Select all of the true statements. - 3 cans of paint will cover 80% of Dalia's room. - Dalia's entire room requires 4 cans of paint. (round up) - 20 percent → 75 percent (of a can) - 40 percent → 150 percent (1.5 cans) - 60 percent → 225 percent (2.25 cans) - 80 percent → 300 percent (3 cans) - 100 percent → 375 percent (3.75 cans) - Nicolas has a coupon for a 60% discount at his favorite store. - Is there a proportional relationship between the original price of an item and its price after the discount? - Yes. You multiply the original price by 0.4 to get the new price. - Write an equation for the relationship between the discount price of an item, *d*, and its original price, *p*. - d= 0.4p. - The price of a coat after the discount is $21. What was the original price? - $52.50 - The cost of new cars and trucks are expected to increase 2.9% next year. - The Des-car currently costs $17,000. What is the expected cost of the new Des-car next year? - $17,493 - Write an equation that will help calculate the cost of other cars next year. Use *t* to represent this year's cost and *n* to represent next year's cost. - n = 1.029 * t - The cost of the new Des-truck is currently $22,000. If the percent increase stays constant, what will the cost be in two years? Explain your thinking. - $23,294.51 - 22,000 * 1.029 = 22,638 - 22,638 * 1.029 = $23,294.51