One-Step Equations

Two-Step Equations

Distributive Property

Combining Like Terms

Word Problems

x + 4 = 8

x = 4

2x - 3 = 15

x = 6

Simplify:
4(x + 2)

4x + 8

Simplify:
4x - x + 3x

6x

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.

8 - x = 12

x = -4

6x + 8 = 14

x = 1

Simplify:
10(2x - 4)

20x - 40

Simplify:
2x - 3 - 5x + 4

-3x + 1

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.

-5x = 30

x = -6

x/4 - 5 = 6

x = 44

Solve:
2(x - 4) = 10

x = 9

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

x = 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.

x/-3 = -3

x = 9

x/-3 + 20 = 11

x = 27

Solve:
-8(2x - 5) = 88

x = -3

Solve:
4x - 6 - 8x + 2 = 12

x = -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.

-4x = 6

x = -1.5

-14x - 10 = -17

x = 1/2

4(3x - 8) = -14

x = 1.5

Solve:
2(3x - 4) + 2x = 16

x = 3

The amount of cookies that Jamie needed to bake for her party was equal to 5 times the number of guests coming and then 10 cookies set aside for family members. She then decided that she wanted to give everyone double the amount of cookies which gave her a total of 120 cookies to bake. How many guests are coming to her party? Write and solve an equation that represents the situation.

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

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