Word Problems
Two-Step Equations
Mixed Equations
Multi-Step Equations
Equations with Variables on Both Sides
1

Jesse started the day with 18 pieces of candy. He gave some away and now he has 9 left over. How many did Jesse give away. Write an equation describing the situation and solve.

g=Candy given away. 18 - g = 9 g=9. Jesse gave away 9 pieces of candy.

1

6x – 13 = 11

x= 4

1

Solving Equations

x - 2 = 6

x = 8

1

Solving Equations

x + 3 + 3x = 7

x = 1

1

4x - 2 = 3x + 5

x = 7

2

After Jeannie spent half of her money, she had $18 left over. How much money did Jeannie start with? Write an equation describing the situation and solve.

m = Money she started with. m/2 = 18 m = 36. Jeannie started with $36.

2

3x + 5 = 14

x= 3

2

Solving Equations

-5p + 1 = 6

p = -1

2

Solving Equations

5 + 5x - 1 = 29

x = 5

2

2(x - 4) = 5x + 4

x = -4

3

After making $5 per hour working for his parents, Jeremy received an extra $7 bonus from his parents for working so hard. He now has $22. How many hours did Jeremy work? Write and solve an equation that describes the situation.

h = hours worked 5h + 7 = 22 h=3. Jeremy worked 3 hours for his parents.

3

(x/2)+2 =-8

x= -20

3

Solving Equations

2n+10 = 4

n = -3

3

Solving Equations

-45 = 3x + 4 + 4x

x = -7

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

x = 4

4

Jessica went to the store and spent half of her money on a pair of shoes. As she was walking out of the store, she found $14 extra money on the ground. This gave her a total of $84 remaining. How much money did she start with? Write and solve an equation that represents the situation.

s = money that Jessica started with. s/2 + 14 = 84. s = 140. Jessica started with $140.

4

(x/2)+8=10

x= 4

4

Solving Equations

5(m-3) = 4

m = 19/5

4

Solving Equations

14 = -(2a + 6) + 2

a= -9

4
9 - x = 6 + 2x

x = 1

5

p = guests coming to the party. 2(5p + 10) = 120 p = 10. There are 10 guests coming to her party.

p = guests coming to the party. 2(5p + 10) = 120 p = 10. There are 10 guests coming to her party.

5

(x/3)-3=-3

x= 0

5

Solving Equations

3(𝑥 − 9) = −3

x = 8

5

Solving Equations

-21 = 7(5k - 8)

k = 1

5

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

ALL REAL NUMBERS