Factoring and Expanding Expressions

Factoring and Expanding Expressions

Using Distributive Property

Fill in the Blank

What is the GCF of 26 and 52?

Fill in the Blank

What is the GCF of 4, 20 and 15?

Multiple Choice

What is the GCF of

 $25a^{3\ }$ ,  $15a^6$  and  $10a$  ?

• 5

•  $5a$  

•  $5a^9$  

•  $5a^{10}$  

Multiple Select

What is the GCF of  $3k^4$  ,  $8k$  ,  $5k^5$  ?

• k

• 1

• 1k

Multiple Choice

What are the terms of this expression?
2x + 3y - 4x + 3

• 2, 3, -4, 3
• 2x, 3y, -4x, 3
• -2x + 3y + 3
• 3

Multiple Choice

What are coefficients?

• The letters in an expression
• The numbers without a letter
• The same as constants
• The number before a letter 

Multiple Choice

What is/are the coefficient(s) of
 2x + 9 + 7x?

• 2, 9, 7
• 2, 7
• 2x, 7x
• 9

Multiple Choice

2r + 2 + 5r - 2 + r 

• 8r 
• 8r - 4 
• 12r 
• 7r + 4 + r 

Multiple Choice

Simplify the expression:

3(2x + 1) + 2(x - 4)

• 8x - 3

• 8x + 11

• 4x - 5

• 8x - 5

Multiple Choice

Simplify the expression:

7+3(1 - 2x)

• 21 - 6x

• 10 - 2x

• 10 - 20x

• -6x + 10

Multiple Choice

Factor the expression:

6x + 15

• 6(x + 2)

• 2x + 5

• 3(2x + 5)

• 3(2x + 3)

Multiple Choice

Factor the expression:

4w - 16

• 2(2w - 8)

• 4(w - 16)

• 2(2w - 4)

• 4(w - 4)

Multiple Choice

Factor the expression:

12 + 3q

• 4(3 + q)

• 3( 4+q)

• none of those

• 1(12 + q)

Multiple Choice

Factor the expression:

3p + 18

• 3(p + 6)

• 6( p + 3)

• none of those

• 3(3p + 6)

Multiple Choice

Expand the expression:

5(x + 2)

• 5x + 10

• x + 10

• 5x + 2

• none of those

Multiple Choice

Expand the expression:

7(2x - 3)

• 14x + 21

• 2x - 21

• 14x - 21

• 14x - 7

Multiple Choice

Expand and Simplify 2(x+2)+5(x+3)

• 6x+13

• 5x+17

• 7x+19

• 8x+13

Multiple Choice

Expand and Simplify

-4(2h + 3)

• -8h - 12

• -8h - 3

• -8h + 3

• -8h +12

Multiple Choice

Use the distributive property to simplify the expressions below:

-2(6n + 3)

• -12n + 3

• -12n - 6

• -12n - 2

• -12n - 3

Multiple Choice

Simplify the expression

11(9 + d)

• 99 + d

• 20 + 9d

• 20 + d

• 99+11d

Multiple Choice

Factor Completely:

-9u - 81

• 9(u + 9)

• -9(u - 9)

• -9(u + 9)

• -90u

Multiple Choice

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Multiple Choice

Factor.

2xy - 14y + 10xyz

• Nothing can be factored

• 2(xy -7y + 5xyz)

• 2y(x - 7 + 5xz)

• 2xyz(1 - 7 + 5)

Multiple Choice

What is the largest number that can be factored from the algebraic expression?
54a + 18

• 18
• 9
• 6
• 3

Multiple Choice

Factor:
22m - 132

• 22(m-6)
• 11(m-8)
• 22(m+6)
• 22(m-8)

Multiple Choice

Factor completley: 12x + 8y - 4z

• 4( x + y + z)

• 4 ( 3x - 2y + z)

• 2 ( 6x + 4y -2z)

• 4 ( 3x + 2y - z)

Multiple Choice

Factor completely: 16 + 24x

• 8 ( 2 + 3x)

• 4 ( 4 + 7x)

• 8 ( 2 - 3x)

• 6 ( 4x + 3)

Multiple Choice

Factor 12x - 20

• 6(2x - 3)

• 4(3x - 5)

• 4x(3x - 5)

• 3(4x + 6)

Multiple Choice

Factor in simplest form: 6x + 12

• 3(2x + 4)

• 6(x+2)

• 6x(x+2)

• 1/2 (3x + 24)