Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

x/2 + 5 =10

x= 10

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

-45 = x + 4

x = -7

400

Solving Equations

14 = (3a + 6) + 2

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Mixed Equations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

2n+10 = 4

n = 2

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Writing Equations

100

Two times the sum of a number and 3 is 24

2( n + 3) = 24

200

Seven times a number, less 11 is 59

7n-11=59

300

The post office charges $1.45 per pound for a package plus a handling fee of $3.25.  A customer is charged $9.05 to ship a package.

Write an equation to solve this problem.

1.45p + 3.25 = 9.05

400

Ms. Adler pays $12.50 for a ride sharing membership, lowering her fees to $1.50 per ride.  In January, Ms. Adler spent $39.50 to use the ride sharing membership.  How many rides to she take?

Write an equation to solve the problem.

12.50 + 1.50r = 39.50

500

Michael purchased several video games priced at $29.95 each and paid $5.95 for express shipping.  His total purchase was $185.65.  How many video games did he purchase?

Write an equation to solve the problem.

29.95v + 5.95 = 185.65