NAME ___________________________________________________ DATE ______________________ PERIOD ____________
Chapter 7 Test, Form 2A
SCORE _____________
1. Express 6 4 as a product of the same factor. Then determine the value.
6.7(A)
6 × 6 × 6 × 6; 1,296
2. Generate an equivalent expression for 7 × 7 × 7 using an exponent.
6.7(A)
Generate an equivalent expression for each using the order of operations.
73
6.7(A)
3. 11 × 12 + 3 3 ÷ 3 141
4. (2 5 - 4) - 3 × (2 + 1) 19
5. 14 × 3 + 12 ÷ 4 45
6. A theater charges $9.50 for adults and $6 for children. Write an expression that shows
Preparation for 6.7(D)
the total cost of buying 3 adult tickets and 2 children’s tickets.
$9.50 × 3 + $6 × 2
Evaluate each expression.
Preparation for 6.7(D)
3
7. x ÷ y - z if x = 32, y = 4, and z = 2 _
_
51
4
4
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
8. hj - h if h = 4 and j = 6 20
9. Jamie has saved $42 of her allowance money to buy books. If she buys 5 books at d
dollars per book, she will have 42 - 5d of her allowance left. How much does she have
left if the books cost $3.50 each?
Preparation for 6.7(D)
$24.50
Define a variable and write each phrase as an algebraic expression.
Preparation for 6.7(D)
10. one half the number of quarters Diane has
d = number of quarters Diane
has; d ÷ 2
11. 15 miles less than Devra biked d = miles Devra biked; d - 15
12. 2.5 times as many pages p = number of pages; 2.5p
13. Sergei caught 4 striped fish. Each one weighed the same number of pounds, p. Then he
caught another fish that weighed 8 pounds. Write an expression that represents the
total weight of the fish that Sergei caught. 4p + 8
Generate an equivalent expression using the Distributive Property.
6.7(D)
14. 3(x + 12) 3x + 36
15. 5(8 + r) 40 + 5r
Course 1 • Chapter 7 Algebraic Expressions
77
NAME ___________________________________________________ DATE ______________________ PERIOD ____________
Chapter 7 Test, Form 2A
SCORE _____________
(continued)
Determine whether the two expressions are equivalent. If so, tell what property is
6.7(D)
applied. If not, explain why.
16. 13 × 12 and 12 × 13 Yes, Commutative Property
17. (3 × 6) × 4 and 3 × (6 × 4) Yes, Associative Property
18. 8 - (4 - 3) and (8 - 4) - 3 No; the first expression is equal to 7
and the second is equal to 1.
19. 17 + 12 and 12 + 17 Yes; Commutative Property
Simplify each expression.
6.7(D)
20. 3x + 6x + 5x 14x
21. 9(2x) 18x
23. Six friends went to a baseball game. The price of admission per person was $x. Three
of the friends bought a hot dog for $3. Write and simplify an expression that represents
6.7(D)
the total cost.
3(x + 3) + 3x; 6x + 9
Use a problem-solving model to solve each problem.
24. Write an expression to find the area of the
Preparation for 6.9(A)
shaded region.
d
b
a
c
25. The weight of Kate’s pumpkin is 24 pounds less
than twice the weight of John’s pumpkin. Write
an expression that represents the weight of
Kate’s pumpkin if p represents the weight of
John’s pumpkin. Then find the weight of Kate’s
pumpkin if John’s pumpkin weighs 17 pounds.
Preparation for 6.7(D), 6.7(A)
cd - ab
78
2p - 24; 10 lb
Course 1 • Chapter 7 Algebraic Expressions
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
22. 4(8x + 3y) 32x + 12y