7th Grade Math

Test PracticeT

32 Expressions and Patterns

36. OPEN ENDED Write an expression that contains an exponent and
    parentheses. When evaluated it should have a value of 1.


37. Which One Doesn’t Belong? Identify the expression that when evaluated
    does not belong with the other three. Explain your reasoning.

24 - (12 + 4)

(20 - 4) - 42

2 × 8 + 24

24 + 3 - (11 + 8)

38. CHALLENGE Determine whether each of the following equations is true
    or false. If false, write the equation and insert parentheses to make it a
    true statement.
    a. 72 ÷ 9 + 27 - 2 = 0
    b. 9 + 3 3 ÷ 6 = 6
    c. 7 · 4 - 2 · 6 = 16
    d. 32 - 10 ÷ 2 + 3 = 14
    e. 15 - 23 + 4 = 11


39. E WRITE MATH Write a real-world problem for the expression 24 ÷
    (12 - 4). Then solve the problem. Explain how you solved.


40. What is the value of 3^2 + 9 ÷ 3 + 3?
    A. 3 C. 15
    B. 9 D. 18


41. The table shows the number of students
    Mrs. Augello has in her classes.

Mrs. Augello’s Classes

Number of classes

with 24 students

2

Number of classes

with 15 students

3

Which expression cannot be used to

find the total number of students

Mrs. Augello teaches?

F. 2(24) + 3(15)

G. 3 × 15 + 2 × 24

H. 5 × (24 + 15)

I. 15 + 15 + 15 + 24 + 24

42. The steps Alana took to evaluate the
    expression 4y + 4 ÷ 4 when y = 7 are
    shown below.

4 y + 4 ÷ 4 when y = 7

4 × 7 = 28

28 + 4 = 32

32 ÷ 4 = 8

What should Alana have done

differently in order to evaluate the

expression correctly?

A. divided (28 + 4) by (28 × 4)

B. divided (28 + 4) by (28 + 4)

C. added (4 ÷ 4) to 28

D. added 4 to (28 ÷ 4)

43. SHORT RESPONSE Explain how you
    would evaluate the expression
    5 · 3 2 + 7. Then evaluate the expression.

C

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