Math 7: Expressions/Equations

Add/Subtract

100

x - 8 = 15

x = 23

200

x + 9 = 34

x = 25

300

x - 18 = -12

x = 6

400

x + 15 = 2

x = -13

500

x - (-4) = -42

x = -46

Multiply/Divide

100

-3x = -21

x = 7

200

x/5 = -2.1

x = -10.5

300

1.6x = 5.6

x = 3.5

400

-x/12=-2.5

x=30

500

2/3 x=8

x=12

Two Step

100

2x - 5 = 7

x = 6

200

x/4 + 8 = 15

x = 28

300

-5x + 8 = 33

x = -5

400

-x/4-6=-8

x = 8

500

3(x - 5) = -21

x = -2

Simplify Expressions

100

List all terms, like terms, coefficients, and constants

3x - 8y + 2x + 12 

Terms: 3x, -8y, 2x, 12

Like Terms: 3x and 2x

Coefficients: 3, -8, 2

Constants: 12

200

List all terms, like terms, coefficients, and constants

3x - 2y + 7x + 5y

Terms: 3x, -2y, 7x, 5y

Like Terms: 3x and 7x, -2y and 5y

Coefficients: 3, -2, 7, 5

Constants: None

300

Simplify:

3x - 4y + 7x + 8y

10x + 4y

400

Add:

(3x + 5) + (9x - 12)

12x + -7

OR

12x - 7

500

Subtract:

(5x - 8) - (10x + 12)

-5x - 20

OR

-5x + -20

Distributive/Factoring

100

Simplify:

3(x - 5)

3x - 15

200

Simplify 2(x + 4) + 5x

7x + 8

300

Simplify

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

-2x + 36

400

Factor using the GCF:

21x - 35

7(3x - 5)

500

Factor out 1/2:

1/2x + 5/2

1/2(x + 5)