8th Grade Chapter 4 Test
Identify the property that each problem 
demonstrates.
Associative Property
Zero Property of Multiplication
Distributive Property
Commutative Property
6(2x + 1) = 12x + 6
Identify the property that each problem 
demonstrates.
Associative Property
Identity Property (Addition)
Distributive Property
Identity Property (Multiplication)
(1)(3y) = 3y
Identify the property that each problem 
demonstrates.
Associative Property
Zero Property of Multiplication
Distributive Property
Commutative Property
(5 + 8) + 3 = 5 + (8 + 3)
Identify the property that each problem 
demonstrates.
Associative Property
Zero Property of Multiplication
Distributive Property
Commutative Property
(3 + 8) + 5 = 5 + (3 + 8)
Identify the property that each problem 
demonstrates.
Associative Property
Zero Property of Multiplication
Distributive Property
Commutative Property
16m * 0 = 0
Identify the property that each problem 
demonstrates.
Associative Property
Identity Property (Multiplication)
Distributive Property
Commutative Property
(5z)(-4) = (-4z)(5)
Identify the property that each problem 
demonstrates.
Associative Property
Identity Property (Multiplication)
Distributive Property
Commutative Property
-2(3k + 2) = (3k + 2)(-2)
Identify the property that each problem 
demonstrates.
Associative Property
Identity Property (Addition)
Distributive Property
Identity Property (Multiplication)
9h = 0 + 9h
Identify the property that each problem 
demonstrates.
Associative Property
Identity Property (Multiplication)
Distributive Property
Commutative Property
(3*5)(9) = (3)(5*9)
Identify the property that each problem 
demonstrates.
Associative Property
Zero Property of Multiplication
Distributive Property
Commutative Property
5(4w - 3) = 20w - 15
Simplify each expression and choose the 
correct answer.
 10n
 1n
 6n
 0
3n + 5n - 2n 
Simplify each expression and choose the 
correct answer.
 7x + 22
 21 + 7x
 8x + 21
 22 + 8x
4x + 12 + 3x + 9
Simplify each expression and choose the 
correct answer.
 42t + 91
 91 - 42t
 42 + 91t
 91t - 42
(13 + 6t)7
Simplify each expression and choose the 
correct answer.
 5y - 3y +12
 5y - 3y - 12
 2y + 12
 2y - 12
5y - 3(y + 4)
Simplify each expression and choose the 
correct answer.
 3d - 3
 -3d + 3
 11d - 19
 21 - 15d
14d + 12 - 7d - 9 - 10d
Simplify each expression and choose the 
correct answer.
 28 - 24m
 -28 - 24m
 24m - 28
 24m + 28
-4(7 - 6m)
Simplify each expression and choose the 
correct answer.
 17z - 16
 5z + 16
 -6z + 19
 5z - 16
-2(3z + 8) + 11z
Simplify each expression and choose the 
correct answer.
 2g - 8
 38 -16g
 3g - 8
 8 - 2g
23 + 6g - 9g -15 + g
Simplify each expression and choose the 
correct answer.
 -54 + 18b
 18b + 54
 -15 +9b
 -54 - 18b
-6(9 -3b)
Simplify each expression and choose the 
correct answer.
 40 - 6x
 24 - 6x - 8
 8 - 6x
 6x - 40
24 - 2(3x + 8)
Solve each equation.
8c = 5c + 21


c = 
Solve each equation.
2y + 27 = 5y

y = 
Solve each equation.
11d + 10 = 6d

d = 
Solve each equation.
4n - 6 = 10n

n = 
Solve each equation.
8 - 3k = 3k + 2

k = 
Solve each equation.
3g + 15 = 7g + 3

g = 
Solve each equation.
4s - 10 = 8 - 2s

s = 
Solve each equation.
9k + 6 = 8k - 13

k = 
Solve each equation.
2(3b - 1) = 40

b = 
Solve each equation.
5(1 - n) = 75

n = 
Solve each equation.
4(x - 2) = 3(x - 3)

x = 
Solve each equation.
4z - 6 = 6(z + 2) + 8

z = 
Solve each inequality.
2(4q + 2) > 52


q >
Solve each inequality.
-3(3 + 2t) > 45

t <
Solve each inequality.
(1/2)(6p - 8) ≤ 17

p ≤
Solve each inequality.
4(2n - 1) ≥ -2(n - 13)

n ≥
Solve each inequality.
-3(2 + a) > -2(a + 1)

a <
Solve each inequality.
2(3g - 4) ≤ 4(g - 4)

g ≤
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