Expressions Review

Substituting Expressions

WRITE IT DOWN!!!!

• Write down your problem

• Plug in numbers (remember that if you DO NOT see an operation, you are multiplying)

Example:

• 4x² - 2x, when x = 3

Multiple Choice

Evaluate -3a + b; when a = -4 and b = 6

• 18

• -14

• 14

• -18

Multiple Choice

Evaluate 7m - h; when m = 5 and h = -2

• 37

• 33

• 77

• 73

-5k + 7 + 4 - 2k

Example:

Combine ONLY what is the same variable to the SAME degree

• cannot combine x and x²

Combine Like Terms

Multiple Choice

Simplify:

-10 + 7m + 6 - m

• 8m + 16

• -4 + 8m

• 6m + 16

• -4 + 6m

Multiple Choice

13 - x + 5 + 5x - 19

• -6x - 1

• 4x - 11

• 4x - 1

• 4x - 7

Multiple Choice

-18 - x + 13 + 13x

• 12x + 5

• 12x - 5

• -14x - 5

• x

2(2 - 3x)

Example:

MULTIPLY!!!

• multiply the coefficients

• bring down your variables

Distributive Property

Match

Match the following:

• 12x + 15

• 12x - 15

• 8x + 12

• -7x + 11

• x + 3

3(4x + 5)

3(4x - 5)

4(2x + 3)

-(7x - 11)

-(-x - 3)

• 3(4x + 5)

• 3(4x - 5)

• 4(2x + 3)

• -(7x - 11)

• -(-x - 3)

3(2g + 1) - 5g

Example:

PEMDAS

• Complete Distributive Property

• Combine Like Terms

Simplify Expressions

Multiple Choice

-8(2x - 3) + 4(5 - 3x)

-16x +24 + 20 - 12x

• -4x + 44

• -12x + 28

• -28x + 44

• -28x - 4

Multiple Choice

4(3x + 1) - 5(4x - 1)

12x + 4 - 20 x + 5

• 8x + 9

• -8x + 9

• 32x + 1

• -32x + 1

Multiple Choice

2 + 7(2x - 2)

• 14x - 12

• 14x + 16

• -14x - 12

• 14x

Multiple Choice

5 - 6(x + 1)

• -6x + 11

• -6x - 1

• 6x - 1

• -6x + 4

Multiple Choice

1 - 4x + (x - 2)5

• 6x - 9

• x - 10

• -9x - 9

• x - 9

Multiple Choice

7(x - 2) - 5x

• 2x - 14

• 2x - 7

• 6x + 5

• 7x - 19

Multiple Choice

-10(3x - 2) + 4(6x - 7)

-30x + 20 + 24x - 28

• -6x + 48

• 6x - 8

• -6x - 8

• 90x + 94

Multiple Choice

-10(1 - x) - 9(2x - 2) + 2

• -8x + 10

• -28x + 10

• 3x - 20

• -28x - 34