Linear Expressions

Terminology

100

Terms that have the same variable and are raised to the same power

Like terms

200

a number attached to and multiplying a variable

coefficient

300

a number with no variable attached

constant

400

form of an expression when it has no parenthesis ( ) and no like terms

simplest form

500

a letter that stands for an unknown number

variable

Simplifying Expressions

100

12g + 9g

21g

200

3 – 9x + 7 – 3x

-12x+10

300

6x – 7 + 2 + 9x

15x-5

400

19a – 7 – 3a + 12a

28a-7

500

4b – 9a – b + 7 – 9

-9a+3b-2

Distributive Property

100

4 (a+9)

4a+36

200

-3(x-5)

-3x+15

300

11(6p+7)

66p+77

400

5(6+3d)

15d+30

500

2(10+3y-5)

6y+10

Factoring Expressions

100

8-22a

2(-11a+4)

200

25d+30

5(5d+6)

300

6y+3

3(2y+1)

400

2t-10

2(t-5)

500

16p-8

8(2p-1)

???

100

Find the sum:

(p-3)+(p-7)

2p-10

200

Find the difference:

(k+3)-(3k-5)

-2k+8

300

(-6d+2)-(7+2d)

-8d+ (-5)

400

(6w+4)-(2w-1)

4w+5

500

Factor the expression:

1.2k+2.4

1.2(k+2)