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GL Unit 6 Review

Total questions: 25

Worksheet time: 1hrs 2mins

Name
Class
Date
1.
What property is represented?
40 + 0 = 40
a)
Identity
b)
Inverse
c)
Associative
d)
Commutative
2.
What property is represented?
4 + (x + 10) = (4 + x) + 10
a)
Associative
b)
Commutative
c)
Inverse
d)
Identity
3.

What property is represented?
  43⋅34\frac{4}{3}\cdot\frac{3}{4}  = 1

a)

Inverse

b)

Identity

c)

Commutative

d)

Associative

4.

What property is represented?

-3 + 3 = 0

a)

Inverse

b)

Identity

c)

Commutative

d)

Associative

5.

What property if represented?

3(w + 4) = 3w + 12

a)

Inverse Property

b)

Distributive Property

c)

Multiplicative Inverse

d)

Associative Property

6.
Simplify this expression:
3(x + 4)
a)
3x + 4
b)
3x + 12
c)
15x
d)
3x + 4x
7.

What property is represented?

 4⋅8⋅12=12⋅4⋅84\cdot8\cdot12=12\cdot4\cdot8  

a)

Associative

b)

Commutative

c)

Inverse

d)

Identity

8.

Simplify the expression using the distributive property.

a)

-45x+72

b)

45x+72

c)

-45x-72

d)

45x-72

9.

5(a + 6)


Simplify the expression using the distributive property.

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

10.

Which correctly matches the property with an example. Choose ALL that apply.

a)

Commutative  5⋅4=4⋅55\cdot4=4\cdot5  

b)

Associative  5+(4+9)=(5+4)+95+\left(4+9\right)=\left(5+4\right)+9  

c)

Distributive  3(x+4)=3x+3⋅43\left(x+4\right)=3x+3\cdot4  

d)

Inverse  5+(−5)=0 5+\left(-5\right)=0\   and  2⋅12=12\cdot\frac{1}{2}=1  

e)

Identity  6+0=66+0=6  and  2⋅1=22\cdot1=2  

11.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 32 • 5

c)

22 • 3 • 5

d)

27

12.

Find the prime factorization of 420

a)

22 • 3 • 5 • 7

b)

77

c)

22 • 3 • 11

d)

23 • 3 • 7

13.

Write the following sentence as an equation:


Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

4 ⋅\cdot 6x = 18

14.
Write an equation:
Ms. Biediger's family wants to drive 750 miles. If they drive the same distance each day for 5 days, what distance, d, do they need to drive each day?
a)
5d = 750
b)
5 + d = 750
c)
750d = 5
d)
750 - 5 = d
15.

Write this sentence as an equation:


Two more than 4 times a number is -18.

a)

4x + 2 = -18

b)

2x + 4 = -18

c)

18 = 4x +2

d)

2 ⋅\cdot 4x = -18

16.

An equation is...

a)

A math statement that does not have an equal sign.

b)

A math statement with an equal sign.

c)

A letter or symbol that represents a number.

d)

A number that can evenly go into another number without a remainder.

17.

An expression is...

a)

A math statement with an equal sign.

b)

A math statement without an equal sign.

c)

A letter or symbol that represents a number.

d)

A number that goes evenly into another number without a remainder.

18.

3x + 4

a)

Algebraic Expression

b)

Algebraic Equation

c)

Numeric Expression

d)

Numeric Equation

19.

3x + 4 = 13

a)

Algebraic Expression

b)

Algebraic Equation

c)

Numeric Expression

d)

Numeric Equation

20.

Choose TWO of the following words that describe:


12 + 5

a)

expression

b)

equation

c)

verbal

d)

numerical

e)

algebraic

21.

Choose TWO of the following words that describe:


fifteen minus twice a number

a)

verbal

b)

numerical

c)

algebraic

d)

expression

e)

equation

22.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
23.
(9 + 23) ÷ (5 - 3) = 
a)
16
b)
32
c)
15
d)
12
24.

4 - 1 + 5 ⋅ 22

a)

23

b)

16

c)

32

d)

-7

25.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False