Integers and Polynomials

​Simplifying
Expressions

Multiple Choice

A letter that represents a number is called a _____.

• variable
• coefficient
• constant
• term

Multiple Choice

A number with no variable attached is called a  _____.

• coefficient
• constant
• variable
• term

Multiple Choice

5n + 11n

• 16n
• 55n
• 6n

Multiple Choice

5(a + 6)

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

Multiple Choice

Simplify the following expression:
-10x + 15 - 3x + 2

• 13x² + 17
• -13x² + 13
• -13x + 17
• -7x + 17

Multiple Choice

Simplify: 
1y + 2x + 3y + 4x

• 1y + 6x + 3y
• -4y + 6x
• 4y + 6x
• 4x + 6y

Multiple Choice

Which of the following is equivalent to    8h +7(2 + 4h)?

• 90h
• 12h + 14
• 50h
• 36h +14

Multiple Choice

3(9a + 2) + 5(2a - 4)

• 37a + 6

• 37a + 26

• 11a + 6

• 37a - 14

Multiple Choice

a polynomial with ONE term

example: 6x³

• monomial

• binomial

• trinomial

Multiple Choice

a polynomial with TWO term

example: 7 + 6x³

• monomial

• binomial

• trinomial

​Multiplying Monomials

Multiple Choice

$$\left(-4a\right)\left(3abc\right)$$  

• -12abc
• -12bc
• -4a²bc
• -12a²bc

Multiple Choice

Multiply (3u⁴v⁵)(7u²v³)

• 21u²v²

• 14u⁶v⁸

• 21u⁸v¹⁵

• none of the above

Multiple Choice

• 10x⁹
• 24x¹⁴
• 24x⁹
• 10x¹⁴

Multiple Choice

(d⁴)(d⁵)

• 2d⁴
• d⁹
• d²
• 2d

Multiple Choice

2n⁴ * 6n⁴

• 8n⁴
• 12n⁸
• 8n¹⁶
• none of the above

Multiple Choice

6k² * k

• 6
• 6k
• 6k²
• 6k³

​Order of Operations

Multiple Choice

20 x 2 - (10 - 4)

• 22
• 30
• 34

Multiple Choice

Solve the following:
(2 + 7 - 1) ÷ 2²

• 16
• 2
• 72.25
• 8.75

Multiple Choice

Simplify:
[25-(13+4)+4] ÷ 3

• 6
• 2
• 3
• 4

Multiple Choice

Solve the following:
-2 x (3 + 8 ÷ 4)²

• -16
• 1.375
• 4
• -50

Multiple Choice

7[12 − (6 − 2) ÷ 4]

• 7
• 77
• 14
• 0

Multiple Choice

4 + [5² + (-4 - 1)] ÷ 10

• 2.4
• 4
• 6
• 7

Multiple Choice

15 x 19 + 18 ÷ 6 = 

• 250
• 199
• 400
• 288

Multiple Choice

Evaluate:

$$17-2^2+3\times4$$  

• 1

• 25

• 64

• 237

Applying the Distributive Property

Multiple Choice

Which of the following is equivalent to 9(x - 3)?

• 9x - 3
• 9x + 3
• 36x
• 9x - 27

Multiple Choice

Which of the following is equivalent to 4(2x + 3)?

• 8x + 12
• 8x + 3
• 8x - 12
• 20x

Multiple Choice

Simplify the expression:
8(5 + w)

• 40 + w
• 40+8w
• 85 + 8w
• 13+8w

Multiple Choice

Simplify the expression:
3(2h + 3c + 2)

• 6h + 9c + 2
• 6h + 9c + 6
• 2h + 3c + 6
• 5h + 6c + 5

Multiple Choice

What is the simplified version of this expression? $$9\left(-5x+8\right)$$  

• $$45x-72$$  

• $$45x+72$$  

• $$-45x-72$$  

• $$-45x+72$$  

Multiple Choice

-4(k - 7)

• -4k + 28
• -4k - 28
• 4k + 28
• 4k - 28

Multiple Choice

-3(2c - 5)

• -6c - 15
• -6c + 15
• 6c + 15
• 6c - 15

​Multiplying and Dividing Integers

Multiple Choice

44/-4=

• 11
• -8
• -11
• -1/11

Multiple Choice

-3(-4)

• -12
• 7 
• -7
• 12

Multiple Choice

-30/-10=

• -30
• -3
• 3
• 30

Multiple Choice

-20/5=

• -4
• 4
• -100
• 100

Multiple Choice

(-6)²=

• 36
• 12
• -36
• -12

Multiple Choice

(-25) ÷ (-5)

• 5
• -5
• -20
• -30

Multiple Choice

Solve the expression   -1(-3)(-2)(-2) =

• 12
• -12
• 8
• -8

Multiple Choice

(-7)(-7)

• 14
• -14
• 49
• -49

Fill in the Blank

Solve.

-

Multiple Choice

A whale dives at a speed of 3 feet per second. What is the change in the position of the whale relative to where it started after 12 seconds?

• -36 feet

• -4 feet

• 4 feet

• 36 feet

Multiple Choice

If a problem containing only multiplication and division has 3 negative numbers, the answer will be...

• positive

• negative

Multiple Choice

If a problem containing only multiplication and division has 4 negative numbers, the answer will be...

• positive

• negative