Chapters 1 – 3 Benchmark Review Packet Name ______

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1.Evaluate 7[32 - 2(1 + 2)] ÷ 7 + 52.
A. / 28 / B. / 30
C. / 26 / D. / 25

2. Which statement illustrates the additive identity?

A. / 3 + 0 = 3 / B. / 3 × 1 = 3
C. / 3 - 3 = 0 / D. / 3 x = 1

3. Translate “five times a number is greater than or equal to 35” into an equation,

inequality, or formula.

A. / 5x > 35 / B. /
C. / / D. / 5x = 35

4. Write an equation for the following word problem. A number is 6 times another

number. The sum of the two numbers is 56.

A. / y + 6y = 56 / B. / y = 6(56)
C. / y = 56 / D. / y + y = 56

5. Write an algebraic expression for the verbal expression:

three times the sum of x and y increased by five times the product of x and 3y.

A. / 3(x + y) + 5(3xy) / B. / 3(xy) + 5(x + 3y)
C. / 3(x + y) + 5(x + 3y) / D. / 3x + y + 5x(3y)

6. Shelia went on an exercise program that lasted 6 weeks. She increased the weight she

was lifting by 5 pounds per week. What was her total change in weight lifted?

A. / 30 pounds / B. / 1 pound
C. / 11 pounds / D. / -30 pounds

7. Simplify 3 + 2(xy + 3z) + 4xy

A. / 9xy + 15z / B. / 6xy + 6z + 3
C. / 5xy + 3z + 3 / D. / 6xy + 3z + 3

8. Use the distributive property to rewrite 3(5 + y) without parentheses.

A. / 8 + y / B. / 15 + 3y
C. / 15 + y / D. / 8 + 3y

9. Find the difference

A. / 57 / B. / -57
C. / 7 / D. / -7

10. Name the coefficient of xy2

A. / x / B. / y
C. / 1 / D. / 0

11. Solve 23 – x = 142

A. / 165 / B. / 119
C. / -119 / D. / -165

12. Solve -198 = -11x

A. / 18 / B. / -18
C. / -187 / D. / 187

13. Solve the equation 3b – 5 = 18

A. / 20 / B. /
C. / 26 / D. /

14. Solve the equation 3x + y = 6 for x

A. / x = 2 - y / B. /
C. / x = 6 - 3x / D. / x = 5y

15. Find

A. / / B. /
C. / / D. / No Solution

16. Find the area of the figure if a = 3 and b = 5

A. / 16 square units / B. / 225 square units
C. / 8 square units / D. / 15 square units

17. Which statement is best illustrated by the graph?

A. / walking up steps / B. / jogging
C. / driving through the city / D. / driving on the highway

18. Which graph matches the following statement? The outside temperature rises

steadily to 85° at 3 P.M., then drops steadily to 65° at 8 P.M.

A. /
B. /
C. /
D. /

19 Which graph best matches the following statement? You go on a diet and lose

25 pounds steadily over three months. Then you maintain your weight.

A. / / B. /
C. / / D. /

20. Which equation describes the data in the table?

A. 2x + y = -1 B. x + y = 2 C. x – y = -2

D. x – y = -6 E. 2x – y = 1

The number of dogs boarding in small, medium, and large

kennels at Jake and Sadie’s Doggie Hotel one Saturday and

Sunday morning and afternoon is shown in matrices A and B

below. Use the matrices to answer Questions 21 through 22.

21 On Sunday afternoon, which kennels had the most dogs?

A small

B medium

C medium and large

D large

22 Which size kennels had the same number of dogs on Saturday morning

and Sunday morning?

A small

B medium

C medium and large

D large

23 If you add matrices A and B to form matrix E, what does E represent?

A the number of dogs in small kennels combined with the number of dogs in medium kennels

B the number of dogs boarding in the mornings combined with the number of dogs boarding in the afternoons

C the number of dogs in large kennels on Saturday and Sunday afternoon

D the number of dogs in small, medium, and large kennels for both days combined

24 Which matrix is E?