One-Step Equations
Two-Step Equations
Distributive Property
Combining Like Terms
Word Problems
100
x + 4 = 8
x = 4
100
2x - 3 = 15
x = 6
100
Simplify: 4(x + 2)
4x + 8
100
Simplify: 4x - x + 3x
6x
100
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.
200
8 - x = 12
x = -4
200
6x + 8 = 14
x = 1
200
Simplify: 10(2x - 4)
20x - 40
200
Simplify: 2x - 3 - 5x + 4
-3x + 1
200
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.
300
-5x = 30
x = -6
300
x/4 - 5 = 6
x = 44
300
Solve: 2(x - 4) = 10
x = 9
300
Solve: -3x + 2 + 6x = 11
x = 3
300
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.
400
x/-3 = -3
x = 9
400
x/-3 + 20 = 11
x = 27
400
Solve: -8(2x - 5) = 88
x = -3
400
Solve: 4x - 6 - 8x + 2 = 12
x = -4
400
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.
500
-4x = 6
x = -1.5
500
-14x - 10 = -17
x = 1/2
500
4(3x - 8) = -14
x = 1.5
500
Solve: 2(3x - 4) + 2x = 16
x = 3
500
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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