Solving Equations

One-Step Equations

1

4 = -8 + x

x= 12

2

x + 12 = 0

x= -12

3

3 = -2 – x

x= -5

4

5x = -80

x= -16

5

-16 = x+2

x= -18

Two-Step Equations

1

6x – 13 = 11

x= 4

2

14 - 3x = 5

x= 3

3

x/2+2 =-8

x= -20

4

10-x/2=8

x= 4

5

3-x/3=-3

x= 18

Mixed Equations

1

Solving Equations

3(𝑥 − 9) = −3

x = 8

2

Solving Equations

-5p + 1 = 6

p = -1

3

Solving Equations

2n+10 = 4

n = -3

4

Solving Equations

5(m-3) = 4

m = 19/5

5

List the four steps of solve a worded question in solving equations.

1. Define the variable

2. Form an equation

3. Solve the equation 

4. Write an equation in words

Multi-Step Equations

1

Solving Equations

x + 3 + 3x = 7

x = 1

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

2(x - 4) = 5x + 4

x = -4

3

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

x = 4

4

9 - x = 6 + 2x

x = 1

5

6x - 15 + 4x = 5(2x - 3)

ALL REAL NUMBERS