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ACA Unit 4 Test 2 Review Activity

Total questions: 48

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

 2+5=5+22+5=5+2  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

2.

 3⋅1=33\cdot1=3  

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

3.

 3(x+5)=3x+3(5)3\left(x+5\right)=3x+3\left(5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

4.

 (3+2)+5=3+(2+5)\left(3+2\right)+5=3+\left(2+5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

5.

 7−3=3−77-3=3-7  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

6.

 3⋅13=13\cdot\frac{1}{3}=1  

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

7.

 3(x+5)=3⋅x+3⋅53\left(x+5\right)=3\cdot x+3\cdot5  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

8.

 (3−2)−5=3−(2−5)\left(3-2\right)-5=3-\left(2-5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

9.

 2⋅5=5⋅22\cdot5=5\cdot2  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

10.

 3(x+5)=x+3(5)3\left(x+5\right)=x+3\left(5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

11.

 3+0=33+0=3  

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

12.

 (3⋅2)⋅5=3⋅(2⋅5)\left(3\cdot2\right)\cdot5=3\cdot\left(2\cdot5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

13.

 3(x+5)=3x+153\left(x+5\right)=3x+15  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

14.

 (−2)+(−3)=(−3)+(−2)\left(-2\right)+\left(-3\right)=\left(-3\right)+\left(-2\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

15.

 3+(−3)=03+\left(-3\right)=0  

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

16.

 (3⋅2)+5=3⋅(2+5)\left(3\cdot2\right)+5=3\cdot\left(2+5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

17.

 2÷5=5÷22\div5=5\div2  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

18.

 (8÷4)÷2=(8÷4)÷2\left(8\div4\right)\div2=\left(8\div4\right)\div2  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

19.

 (3−2)+5=3−(2+5)\left(3-2\right)+5=3-\left(2+5\right)  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

20.

 3(x+5)=3x+53\left(x+5\right)=3x+5  

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

21.

 12⋅(m⋅5)=(m⋅5)⋅1212\cdot\left(m\cdot5\right)=\left(m\cdot5\right)\cdot12  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

22.

 m+0=mm+0=m  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

23.

 5(m+12)=(5⋅m)+(5⋅12)5\left(m+12\right)=\left(5\cdot m\right)+\left(5\cdot12\right)  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

24.

 m⋅1=mm\cdot1=m  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

25.

 m+(−m)=0m+\left(-m\right)=0  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

26.

 5×15=15\times\frac{1}{5}=1  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

27.

 m⋅(5⋅12)=(m⋅5)⋅12m\cdot\left(5\cdot12\right)=\left(m\cdot5\right)\cdot12  

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

28.
Look at the model. Which of the following algebraic expressions could it represent?
a)
3x + 4 + 2x + 1
b)
7x + 3x
c)
3x + 2x
d)
4 + 1
29.
Look at the model. Which of the following algebraic expressions could it represent?
a)
3x + 4 + 2 + 2 
b)
3x + 4 + 2x + 2 - x - 1
c)
3x - 4 + 2 - 2 -x
d)
3x + 4 + 2 + 2  - 1 - 1
30.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 6

b)

3x - 6

c)

2x + 4

d)

2x + 7

31.

Look at the model. Which of the following expressions could it represent?

a)

4x + 5

b)

x + 2

c)

2x + 7

d)

4x + 5x

32.
Simplify the Expression. 
9z  - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
33.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
34.
Simplify   6(x + -2)
a)
6x + -2
b)
6x - 12
c)
4x
d)
6x - 2
35.

Simplify the expression

3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

36.

Find the prime factorization of 420

a)

22 • 3 • 5 • 7

b)

77

c)

22 • 3 • 11

d)

23 • 3 • 7

37.

What number has the prime factorization of 23 • 11?

a)

55

b)

66

c)

88

d)

99

38.

Select all of the prime numbers.

a)

1

b)

2

c)

7

d)

18

e)

21

39.

Find the prime factorization of 108

a)

23 * 32

b)

22 • 33

c)

25 • 3

d)

2 • 3 • 7 • 11

40.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 32 • 5

c)

22 • 3 • 5

d)

27

41.

Evaluate the expression above.

a)

1

b)

11

c)

-3

d)

15

42.

Evaluate the expression above.

a)

11

b)

14.5

c)

9

d)

5.5

43.

Evaluate the expression above.

a)

-70

b)

18

c)

0.25

d)

2

44.
a)

1

b)

4

c)

-7

d)

14

45.

 [62+(15÷3+32)]+32\left[6^2+\left(15\div3+3^2\right)\right]+3^2  

Evaluate the expression above.

a)

109

b)

29

c)

32

d)

59

46.

 21÷3+4⋅621\div3+4\cdot6  

Evaluate the expression above.

a)

18

b)

31

c)

0.5

d)

168

47.

 8×18÷4+58\times18\div4+5  

Evaluate the expression above.

a)

76

b)

16

c)

41

d)

153

48.

 23×32=?2^3\times3^2=?  

a)

36

b)

72

c)

576

d)

54