Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Multi-step Equations

100

Solve for x.

3x - 4 = 2x + 9

x = 13

200

Solve for x.

4x - 9 = 13x + 9

x = -2

300

Solve for x.

1/2 x  +  2  =  3/4 x  -  4

x= 24

400

Solve for x.

9/2 x  -  3  =  4x  + 9

x = 24

500

Solve for x.

2x + 3 = 3x -5/2

x= 11/2

Slope intercept form

100

4x + 9y = 33

y = 11/3 - 4/9x

200

x + 3y = -8

y = -8/3 - 1/3 x

300

4y - 3x = 15

y = 15/4  +  3/4x

400

-1/2x + 3y = 21

y = 7 + 1/6 x

500

3/4 x - 1/2y = 9

y = -18 + 3/2 x

Substitution

100

If x = 3 what is the value of y.

y = 9x

y = 27

200

If x = -7 what is the value of y.

y = 2x + 9

y = -5

300

If x = 1/2 what is the value of y.

y = 3x + 4

y = 11/2

400

if x = -9 what is the value of y.

2x + 3y = 15

y = 11

500

If x = -7/2 what is the value of y.

-3x + 9y = -21

y = -7/2