Solving Equations

One-Step Equations

1

4 = -8 + x

x= 12

2

x + 12 = 0

x= -12

3

x-3=-0.5

x= 2.8

4

5x = -80

x= -16

5

0.09x=-6.3

x= -70

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

(x/2)+2 =-8

x= -20

4

-3x+32=5

x= 9

5

(x/3)-3=-3

x= 0

Mixed Equations

1

Solving Equations

x - 2 = 6

x = 8

2

A rectangle is 4 inches long and 2x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in square inches). Find x.

x=2

3

Solve the equation for y.

4y-5x=-8

y=5/4x-2

4

Solving Equations

5(m-3) = 4

m = 19/5

5

How many solutions does the equation have?

-1/2(6x+7)=-5-3x

None

Multi-Step Equations

1

-0.5(-2x+8)-8=8

x = 20

2

Solving Equations

5 + 5x - 1 = 29

x = 5

3

Solving Equations

-45 = 3x + 4 + 4x

x = -7

4

Solving Equations

14 = -(2a + 6) + 2

a= -9

5

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

1

4x - 2 = 3x + 5

x = 7

2

20-3.8x=-14-5.8x

x = -17

3

6x + 3 - 2x = 2x + 11

x = 4

4

9 - x = 6 + 2x

x = 1

5

3(2.6x-3)=4(-7-2.8x)

x=-1