Simplifying Expressions Review

Vocabulary

100

What is a term? Give an example

A single math expression that is seperated by adding or subtracting

eg. 2x, 5

200

What is a variable term? Give an example. 

Terms with a variable 

eg. 9x, 16x, -x

300

What is a constant term? Give an example. 

Terms WITHOUT a variable 

eg. -2, 8, 10 

400

What is a Coefficient? 

Number NEXT TO a variable 

eg. 9x -> 9 , -x -> -1 

500

What does it mean to simplify an expression? What is the steps? 

Put the algebraic expression in its simplest form by having no like terms and no parenthesis 

To simplify an espression: 

1. Distribute 

2. Combine Like Terms 

 

Combining Like Terms

100

-2x - 5x

-7x

200

-5x - 8 - 3x + x

-7x - 8

300

12w + 8 - 5w + 3

7w + 11

400

-m - 3n - 12m +6

-13m -3n + 6

500

-8d - 15 - 3 + 2c - 3c + 10d

2d - c -18

Distributive Property

100

3(k-7)

3k - 21 

200

-5(w-1) 

-5w + 5

300

-9(-w+4)

9w - 36 

400

7(5-2r) 

35 - 14r 

500

-3/4 (16m+4)

-12m-3

Simplifying Expressions

100

3(m-4)+8m 

3m - 12 + 8m

= 11m - 12 

200

15 + 8 (2y-9) 

15 + 16y -72

= 16y - 57

300

10c + 6 (-4c + 7) 

10c -24c +42

= -14c +42

400

11a - 2 (2a - 11) + 16

11a - 4a + 22 + 16

= 7a +38

500

-4 (n-1) + 7 (n+10) 

-4n +4 +7n +70

= 3n +74

Simplifying Expressions

100

-7 (2a - 1) -11

-14a +7 - 11

= -14a - 4

200

-5r - (6r - 1) 

-5r - 6r +1

= -11r +1

300

-9 - 2 (7 - 4x) 

-9 -14 + 8x

= -23 + 8x

400

-19 - (k + 7 ) + 10k

-19 - k - 7 + 10k

= 9k - 26

500

9 (2v - 3) - 5 (v + 8) 

18v - 27 - 5v - 40

= 13v - 67