Name: Class: Date: 1. Answer the question with an algebraic expression, using the suggested variable.
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1 1. Answer the question with an algebraic expression, using the suggested variable. Trey earns D dollars per hour. Monique earns $5 per hour more than Trey. How much does Monique earn per hour? $ a. b. c. d. ANSWER: b 2. Answer the question with an algebraic expression, using the suggested variable. Preston earns D dollars per hour. Laura earns one-fourth as much per hour as Preston. How much does Laura earn per hour? $ a. b. c. d. ANSWER: a 3. Use pencil and paper to answer the question. Sun earns D dollars per hour. Write an expression that shows how much Sun earns in 35 hours. ANSWER: 4. Solve using the pan balance below. ANSWER: 3 Powered by Cognero Page 1
2 5. Solve using the pan-balance below. ANSWER: 4 6. Solve the pan-balance problem below. One ball weighs as much as blocks. ANSWER: Marina wrote an equation but covered one number. What is the covered number? ANSWER: 6 Powered by Cognero Page 2
3 8. Ms. Jones surveyed her class by asking a set of questions. The class made the line plot below to show the results for one question. Which of Ms. Jones questions best relates to the line plot the class made? a. How many years old is the oldest child living at your house? b. How many hours of sleep do you average per night? c. How many complete months are there until your birthday? d. How many books did you read last summer? ANSWER: a 9. Use pencil and paper to answer the question. Mr. Glover surveyed his class by asking a set of questions. The class made the line plots below to show the results for each question. Write the number of the line plot next to the question it represents. How many complete months are there until your next birthday? How many years old is the oldest child living at your house? How many books did you read last summer? Plot Plot Plot Plot #1 Powered by Cognero Page 3
4 Plot #2 Plot #3 ANSWER: How many complete months are there until your next birthday? Plot #3 How many years old is the oldest child living at your house? Plot #1 How many books did you read last summer? Plot #2 10. Use pencil and paper to answer the question. To solve the following problem, would you need to find the circumference or area? (Circle the answer.) Summer wants to cover a circular tabletop with mosaic tiles. How many square feet of mosaic tiles does she need? circumference area ANSWER: area Powered by Cognero Page 4
5 11. Use pencil and paper to answer the question. To solve the following problem, would you need to find the circumference, perimeter, or area? (Circle the answer.) a. Jeffrey drove around a circular track 200 times. How far did he drive? b. Mr. Castillo is building a fence around his swimming pool. How many feet of fencing should he buy? c. Mrs. Tadashi is planting pumpkins in her garden. She wants one plant for every 2 square feet. How many plants should she buy? ANSWER: a. circumference b. perimeter c. area 12. Use pencil and paper to answer the question. circumference perimeter perimeter area area area To solve the following problem, would Mrs. Gomez need to find the perimeter or area? (Circle the answer.) Mrs. Gomez is planting pumpkins in her garden. She wants one plant for every 2 square feet. How many plants should she buy? perimeter area ANSWER: area Powered by Cognero Page 5
6 13. Use pencil and paper to answer the question. Circumference of a circle = diameter Area of a circle = Complete each of the following sentences, rounding each answer to the nearest centimeter. Use the key on your calculator or use 3.14 as an approximation for. a. The diameter is about cm. b. The radius is about cm. c. The circumference is about cm. d. The area is about. ANSWER: Because of differences in printer scaling, the intended radius and diameter may be inaccurate. The intended values for the diameter and radius of this circle are given below. Measure the radius and diameter of the printed circle to the nearest half-centimeter to determine the correct lengths based on your local printer settings. a. 6 b. 3 The values for the circumference and area of this circle given below are based on the intended diameter and radius. Determine the correct values based on the values of the diameter and radius. c. 19 d. 28 Powered by Cognero Page 6
7 14. Use pencil and paper to answer the question. Wyome set up a pan balance. He found that 2 calculators balance 12 blocks. He then used the pan balance to find that 4 blocks balance 2 blocks and 10 paper clips. Fill in the blanks below. a. One calculator weighs as much as paper clips. b. One calculator weighs as much as blocks. ANSWER: a. 30 b Use pencil and paper to answer the question. A machine in the factory can wrap 60 candy bars per minute. This is given below as a rule. a. Complete the table. Then graph the data in the table. Rule: Number of candy bars = number of minutes Powered by Cognero Page 7
8 Time (min) 1 3 Number of candy bars b. Mrs. Smith needs 300 wrapped candy bars. About how long will this take? a. Time Number of (min) candy bars ANSWER: b. 5 min 16. Use pencil and paper to answer the question. Powered by Cognero Page 8
9 An Age Puzzle Moesha is twice as old as Kendrick. 4 years ago, Moesha was 3 times as old as Kendrick. a. How old are Moesha and Kendrick now? Show your work. b. Explain what you did to solve the problem. c. Write an algebraic expression to tell how old Moesha is if Kendrick is k years old. Explain how you figured out your expression. ANSWER: a. Moesha is 16 Kendrick is 8 (Note: student s work should be shown) b. Sample answer: Since Moesha is twice as old as Kendrick, I picked a value for Kendrick. I then multiplied this value by 2 to get Moesha s age now. I subtracted 4 from both their ages to get their age 4 years ago. After trying several values for Kendrick s age, I found that Kendrick is 8 and Moesha is 16, because Moesha s age 4 years ago, 12, must be 3 times as much as Kendrick s age 4 years ago, which is 4 (8 4 = 4). c. k + 8 Powered by Cognero Page 9
10 Sample explanation: I subtracted Kendrick s age from Moesha s age to find out how much older Moesha is than Kendrick. So 16 8 = 8, which means Kendrick's age + 8 gives Moesha s age. If Kendrick is k years old, then Moesha = k + 8. Powered by Cognero Page 10
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