NAME ___________________________________________________ DATE ______________________ PERIOD ____________
Chapter 7 Test, Form 1A
SCORE _____________
1. The volume of a certain cube can be found using the expression 5 3. Express 5 3 as a
6.7(A)
product of the same factor. Then determine the value.
5 × 5 × 5; 125
2. Generate an equivalent expression for 8 × 8 × 8 × 8 using an exponent.
6.7(A)
84
Generate an equivalent expression for each using the order of operations.
6.7(A)
3. 5 2 + 7 32
4. 21 - 3 2 + 2 14
5. 58 - 2 × (3 + 1) 50
6. 4 × 3 + 9 × 8 84
Evaluate each expression.
Preparation for 6.7(D)
7. cd if c = 9 and d = 8 72
1
8. 2 + 3n if n = _
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
2
_
31
2
9. s + t - u if s = 12, t = 8, and u = 20 0
Define a variable and write each phrase as an algebraic expression.
Preparation for 6.7(D)
10. 10 dollars less than Caitlin c = money Caitlin has; c - 10
11. 13 times the cost of one ticket t = cost of one ticket; 13t
12. twelve inches longer than the width w = width; w + 12
Determine whether the two expressions are equivalent. If so, identify the properties
Preparation for 6.7(D)
that are applied. If not, explain why.
13. 3 + 0 and 3 Yes; Identity Property
14. 6 × 4 and 4 × 6 Yes; Commutative Property
15. (8 ÷ 4) ÷ 2 and 8 ÷ (4 ÷ 2) No; the first expression is equal to 1 and
the second is equal to 4.
Course 1 • Chapter 7 Algebraic Expressions
75
NAME ___________________________________________________ DATE ______________________ PERIOD ____________
Chapter 7 Test, Form 1A
SCORE _____________
(continued)
16. Factor 18 + 12 to generate an equivalent expression.
6(3 + 2)
6.7(D)
17. Determine 5 × 83 mentally using the Distributive Property.
6.7(D)
Sample answer: 5(80) + 5(3) = 415
Generate an equivalent expression using the Distributive Property.
6.7(D)
18. 6(x + 4) 6x + 24
19. 2(5 + r) 10 + 3R
20. 11(n + 3) 11n + 33
Simplify each expression.
21. 2x + 5x + 4x
6.7(D)
11x
Factor each expression.
6.7(D)
23. 20x + 35y 5(4x + 7y)
24. 24x + 64y 8(3x + 8y)
25. Write an expression to find the area of the shaded region. Use a problem-solving
model to solve.
Preparation for 6.9(A)
cd - ab
d
b
a
76
c
Course 1 • Chapter 7 Algebraic Expressions
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
22. 7(2x + 6y) 14x + 42y