WorksheetsChapter 6: Algebraic Expressions
Total questions: 30
Worksheet time: 2hrs 31mins
Name
Class
Date
1.
Write (1/3)³ as a product of the same factor.
a)
1/3 x 1/3
b)
1/3 x 1/3 x 1/3
c)
1/9
d)
1/27
2.
Find the value of (1/3)³.
a)
2/6
b)
1/6
c)
1/27
d)
1/9
3.
Write 5 x 5 x 5 x 5 x 5 x 5 using an exponent.
a)
5⁶
b)
5⁵
c)
34,375
d)
625
4.
Find the value of the expression
9 + (2⁵ +3) x 6
9 + (2⁵ +3) x 6
a)
87
b)
59
c)
119
d)
219
5.
Find the value of the expression
10 + 6³ ÷ 4 × 2
10 + 6³ ÷ 4 × 2
a)
118
b)
19
c)
12.25
d)
37
6.
Evaluate the expression
8(3³ + 2) -11
8(3³ + 2) -11
a)
77
b)
221
c)
207
d)
0
7.
Garrett purchased 6 balls of yarn for $5.25 each and 10 jars of glue for $3.50 each. Find the total cost.
a)
$8.75
b)
$73.50
c)
$66.50
d)
$60.00
8.
Evaluate the expression c² + b - a if
a=3 b=2 c=6
a=3 b=2 c=6
a)
35
b)
7
c)
61
d)
3
9.
Evaluate the expression 5c - 2b + a if
a=3 b=2 c=6
a=3 b=2 c=6
a)
37
b)
24
c)
29
d)
3
10.
Evaluate the expression 5c - (2b + a) if
a=3 b=2 c=6
a=3 b=2 c=6
a)
31
b)
27
c)
15
d)
23
11.
Write an algebraic expression for the phrase 16 less than Jaxon earned (use j for the unknown value)
a)
j -16
b)
j + 16
c)
16 - j
d)
16 + j
12.
Write an algebraic expression for the phrase 9 centimeters less than four times the height (use h for height)
a)
9 - 4h
b)
4h
c)
4h - 9
d)
9 - 4/h
13.
Write an algebraic expression for the phrase 80 dollars more than 2 times Kent's salary (use k for Kent's salary)
a)
2k
b)
2k + 80
c)
80 - 2k
d)
80
14.
What property is being applied to make these expressions equivalent?
2 x (8 x 6) = (2 x 8) x 6
2 x (8 x 6) = (2 x 8) x 6
a)
Associative Property
b)
Distributive Property
c)
Commutative Property
d)
Identity Property
15.
What property is being applied to make these expressions equivalent?
4 + 16 = 16 + 4
4 + 16 = 16 + 4
a)
Associative Property
b)
Distributive Property
c)
Commutative Property
d)
Identity Property
16.
What property is being applied to make these expressions equivalent?
5(6 + 7) = 5 x 6 + 5 x 7
5(6 + 7) = 5 x 6 + 5 x 7
a)
Associative Property
b)
Distributive Property
c)
Commutative Property
d)
Identity Property
17.
What property is being applied to make these expressions equivalent?
6 + 0 = 6
6 + 0 = 6
a)
Associative Property
b)
Distributive Property
c)
Commutative Property
d)
Identity Property
18.
What property is being applied to make these expressions equivalent?
6 x 1 = 6
6 x 1 = 6
a)
Associative Property
b)
Distributive Property
c)
Commutative Property
d)
Identity Property
19.
Which of the following does NOT work with the Associated Property and the Commutative Property?
a)
Addition & Subtraction
b)
Multiplication & Division
c)
Subtraction & Division
d)
Addition & Multiplication
20.
Use the Distributive Property to rewrite
6(8x + 2)
6(8x + 2)
a)
48x + 2
b)
68x + 2
c)
48x - 12
d)
48x + 12
21.
Use the Distributive Property to rewrite
3(2y - 8)
3(2y - 8)
a)
6y + 24
b)
6y - 24
c)
6y - 8
d)
32y - 8
22.
Use the Distributive Property to rewrite
(r + 7)8
(r + 7)8
a)
r + 56
b)
8r + 7
c)
8r + 56
d)
8r - 56
23.
Use the Distributive Property to rewrite
3(w + 1.6)
3(w + 1.6)
a)
3w - 4.8
b)
3w + 1.6
c)
3w - 1.6
d)
3w + 4.8
24.
Mrs. Perryman bought a hat and a pair of gloves for each of her 12 grandchildren. The table lists the cost of each item. Use the Distributive Property to find the total amount of money she spent on her grandchildren.
a)
$533.88
b)
$173.88
c)
$456.00
d)
$96.00
25.
Simplify the expression (simplest form)
8x + 6x - 2x
8x + 6x - 2x
a)
16x
b)
14x - 2x
c)
8x + 4x
d)
12x
26.
Simplify the expression (simplest form)
4(3x + 7y)
4(3x + 7y)
a)
12x + 7y
b)
12x + 28y
c)
40x
d)
12x - 7y
27.
Simplify the expression (simplest form)
12y + 5x - 8y
12y + 5x - 8y
a)
5x + 4y
b)
11y
c)
4x + 5y
d)
17y - 8x
28.
Factor the expression
42x + 12y
42x + 12y
a)
2(21x + 6y)
b)
6(7x + 2y)
c)
12(3x + y)
d)
3(14x + 4y)
29.
Factor the expression
15x - 30y
15x - 30y
a)
15(x - 3y)
b)
15x - 30y
c)
15(x + 2y)
d)
15(x - 2y)
30.
Factor the expression
8x + 32y
8x + 32y
a)
2(4x + 16y)
b)
4(2x + 8y)
c)
8(x + 3y)
d)
8(x + 4y)
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