Combining like Terms and Simplifying Expressions

Vocabulary

100

Parts of an algebraic expression separated by an addition or subtraction sign

Term

200

The numerical factor of a term that contains a variable or The number in front of the variable 

Coefficient 

300

A term without a variable or A number that never changes 

Constant

400

Terms that contain the same variables

Like Terms 

500

To put an expression in its simplest form by combining like terms

Simplify

Combining (Addition)

100

8a + 15a + a + 9

24a + 9

200

5x + 35 + 3x + 2

8x + 37

300

32 + 12t + 16t + 8

28t + 40

400

13x + 19z + 7x + 5z + 6y

20x + 24z + 6y

500

32x + 18t + 11y + 25x + 15t + 14y

57x + 33t + 25y

Combining (Subtraction)

100

21b - 11b - 10 - 12b

-2b - 10

200

5z - 55 - 26 - z

4z - 81

300

12c - 6c - (-30)

6c + 30

400

-7d - (-40) + 8d

d + 40

500

-15j - 18k - 24j - 18k

-39j - 36k

Simplify The Expression

100

2(3 + 3u)

6 + 6u

200

3(8 + 5m)

24 + 15m

300

(4d + 2)(5)

20d + 10

400

8(9 + 4t)

72 + 32t

500

6(8 + 3r + 9z)

48 + 18r + 54z

Combining Like Terms(Add & Subtract Mix)

100

-7w - 5 + 17w + 15

10w + 10

200

19a - 6b - 17a - 3b + 9b - 2a

0

300

-2f - 1f - (-6) + 5f

2f + 6

400

-5r + 3q - 8q - r

-6r -5q

500

53t - (-20r) + 17 - 10t

43t + 20r +17