Solving Equations and Simplifying Expressions

Two-Step Equations

1

6x – 13 = -11

x= 1/3

2

3x + 5 = 14

x= 3

3

(x/-2) =8

x= -16

4

-(x/2)=-10

x= 20

5

(-2/3x)=-24

x= 36

Mixed Expressions /Equations

1

Solving Equations

-x - 2 = 6

x = -8

2

Simplify

-4p + 2 + 7p + 7 - 14p - 7p 

-18p+9

3

Factor this expression:

2n+10+14+4n

6(n+4)

4

Simplify.

-3(10m-2)+(3+6m-3)

-24m+6

5

Solving Equations

4(𝑥 − 9) = -12

x = 6

Addition and Subtraction Equations with fractions and decimals

1

Solving Equations

x + 3 =4.5

x = 1.5

2

Solving Equations

x - 45.6= 92.4 

x = 138

3

Solving Equations

4/9= 1/3x + 5/12x

x = 5/9

4

Solving Equations

14 = a + 6.7 + 2

a= 5.3

5

Solving Equations

21 = 0.5k - 9.7 + 1/4

k = 60.9

Multi-Step Equations

1

-16=-4-6x

x = 2

2

3(2x+5)=3

x = -2

3

1/2(x-2)=5

x=12 

4

2(n+17) = 3/8

n= -31/2 or -15.5

5

-5x+6=-7x-8

x=-7

Simplifying Expressions

1

1/6x - 3 - 2/3x - 4

-1/2x -7

2

1/2x + 4 - 1/3x -7

1/6x-3

3

1/3(3x-6)-7

x-9

4

5-2(3x+1)

-6x+3

5

-10-1/4(12x-8)

-3x-8