Henry6MA (HMA6ALGEBRA_NUMBEROP) Name:_____________________________________________

Date:________________________

1. Sampson finds that for every hour he lifts weights, he burns 400 calories. Which proportion should Sampson use to determine the number of calories he burned (C) on a day when he lifted weights for 3 hours?

A.

=

B.

=

C.

=

D.

=

2. In Ms. Miller's class there are 18 girls and 10 boys. Find the ratio of boys to girls. A. 1:2 B. 5:9 C. 3:5 D. 7:10

3. Which number replaces the ''?'' in the table?

A.

B.

C. D. Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 4. Nancy determined that 48 out of the 108 students in tenth grade play a musical instrument. What fraction of the students plays a musical instrument?

A.

B.

C.

D.

5. Betty and John were both trying to solve the equation 4x = 12. Betty multiplied both sides of the equation by the reciprocal of 4. John divided both sides of the equation by 4. Who solved the equation correctly? A. only Betty B. only John C. both D. neither 6. In the table, y varies directly with x.

Which equation best describes the data?

A.

B.

C.

D.

Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 7. Jeanette's car uses 15 gallons of gas for every 360 miles she drives. How far can Jeanette's drive with 6 gallons of gas? A. 17 miles B. 25 miles C. 72 miles D. 144 miles

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 8. Amy drew a circle graph to represent the ages of people who were surveyed for a consumer group. Of those surveyed, 30% were over the age of 65. Which one of the following graphs best represents the survey results?

A.

B.

C.

D.

This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 9. The basketball concession stand sold 327 drinks in two games. Which proportion could be used to make the best estimate for the number of drinks that will be sold for 10 games?

A.

B.

C.

D.

Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

10. There are 30 red marbles and 150 blue marbles in a box. What is the ratio of blue marbles to red marbles?

A.

B.

C.

D.

Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

11. Ben has 200 trading cards. Of the 200 cards, he received 64 as a gift. What percent of his trading cards did he receive as a gift? A. 32% B. 64% C. 128% D. 136%

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 12. In every carton of eggs, there are 12 eggs. If c equals the number of cartons and e equals the number of eggs, which equation shows the direct proportion of cartons to eggs? A. e = 12c B. c = 12e C. e = c + 12 D. c = e – 12 13.

What is the next number in the following pattern? 18, 17, 15, 14, 12, 11, 9, ?

A. 7 B. 8 C. 9 D. 10 14. In a random survey, 25 out of 150 people were able to give a correct answer to the question asked. If 500 people are surveyed, about how many would be expected to answer the question correctly? A. 4 B. 20 C. 83 D. 325 Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

15. At the track meet, Leone was able to run the 100-meter dash in 12.47 seconds. Which is Leone's score recorded as a mixed number? A. 12 B. 12 C. 12 D. 12

16. Pizzas take 20 minutes to cook. Four pizzas can be cooked at one time in the pizza oven. How long would it take to cook 10 pizzas? A. 40 minutes B. 50 minutes C. 60 minutes D. 80 minutes

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 17. Larry wants to visit his cousin who lives 320 miles away and expects to drive 55 miles per hour the entire way. What is the best estimate of how long it will take him to reach his cousin's house? A. 17 minutes B. 3 hours C. 5 hours D. 6 hours 18. Sam earned $86.00 after school each week before taxes were taken out. His employer took 16% of his wages out for tax and Social Security deductions. How much was his take-home pay? A. $13.76 B. $16.00 C. $70.00 D. $72.24 19. Which of the following is a true statement?

A. B. C.

D.

Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

20. Which expression correctly uses the distributive property to rewrite the expression 7(y + 5)? A. 5 + 7y B. 5(7 + y) C. 7y + 35 D. 12(7 + y)

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 21. Ahmad is trying to visit all 50 states. In 1995 he visited 2 states, in 1996 he visited 3 more states, in 1997 he visited 4 more states, and in 1998 he visited 5 more states. If he continues this pattern, in what year will he visit the 50th state? A. 2001 B. 2003 C. 2005 D. 2007 22. Old Faithful, the famous geyser in Yellowstone National Park, erupts every hour and sends 15,000 gallons of steam and boiling water into the air. At the end of one entire day, how many gallons of water and steam would Old Faithful have sent into the air? A. 360,000 gallons B. 180,000 gallons C. 153,000 gallons D. 36,000 gallons 23. Batteries that normally cost $1.00 each are on sale at 25% off. How much will 4 of these batteries cost? A. $.75 B. $1.00 C. $3.00 D. $4.00 24. The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words? A. 220 minutes B. 20 minutes C. 15 minutes D. 4 minutes Permission has been granted for reproduction by the Virginia Department of Education © Virginia Department of Education

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 25. Diana made the diagram below to find the next term in a number pattern.

What should Diana write as the eighth term in the number pattern? A. 37 B. 41 C. 105 D. 107 This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.

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Henry6MA (HMA6ALGEBRA_NUMBEROP)

Answer Key 1. D)

=

2. B) 5:9 3. B)

4. C)

5. C) both 6. D)

7. D) 144 miles

8. C)

9. D)

10. C)

11. A) 32% 12. A) e = 12c 13. B) 8 14. C) 83

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Henry6MA (HMA6ALGEBRA_NUMBEROP) 15. C) 12

16. C) 60 minutes 17. D) 6 hours 18. D) $72.24 19. C)

20. C) 7y + 35 21. B) 2003 22. A) 360,000 gallons 23. C) $3.00 24. B) 20 minutes 25. D) 107

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