Distributing and Factoring Expressions

DistributiveProperty & Factoring

Factoring

Finding the factors of an expression

Factoring

splits an expression into a multiplication of simpler expressions.

Multiple Choice

Which expression is factored?

• 3(x+5)

• 3x+15

Multiple Choice

Which expression is expanded?

• 3(x+5)

• 3x+15

Multiple Select

Select all of the expression that show the product of two factors

• 2(3+5)

• 6+10

• 4(x+8)

• 4x+32

Multiple Select

Select all of the expressions that show the sum of two terms (only).

• 36+9x

• 9(4+x)

• 7x+42

• 7(x+6)

Multiple Choice

How many terms are in this expression?

5x + 2y + 3

• 1

• 2

• 3

• 4

Multiple Choice

A number with no variable attached is called a  _____.

• coefficient

• constant

• variable

• term

Multiple Choice

The number before a variable is the _____.

• term

• constant

• coefficient

• variable

Multiple Choice

What is the coefficient of the expression below?

8 - 5x

• 8

• 0

• 5

• -5

Multiple Choice

What are the like terms in the following expression?
5a + 2b - 3a

• 5a, -3a

• 5a, 3a

• 5a, 2b

• 5a, 4

Multiple Choice

2(4 + 9w) 

• 8+9w

• 2+9

• 8+18w

• 2+9w

Multiple Choice

2(4X-7)

• 8x-14

• 8x-7

• 6x+7

• 8x+14

Multiple Choice

Factor:
12x - 20

• 4x(3 - 5)

• 4(3x - 5)

Multiple Choice

Factor 6x+20

• 2(x+10)

• 6(x+14)

• 2(x-5)

• 2(3x+10)

Multiple Choice

Factor $$40k+56$$  

• $$2\left(26k+28\right)$$  

• $$40\left(k+16\right)$$  

• $$10\left(4k+5.6\right)$$  

• $$4\left(10k+14\right)$$  

Multiple Choice

Expand $$3\left(11+12b\right)$$  

• $$33+36b$$  

• $$\frac{11}{3}+4b$$  

• $$14+15b$$  

• $$8+9b$$  

Multiple Choice

Factor $$15+21k$$  

• $$3\left(5+7k\right)$$  

• $$15\left(6k\right)$$  

• $$5\left(3+4.2k\right)$$  

• $$10\left(1.5+2.1k\right)$$