One-Step Equations
x + 4 = 8
x = 4
4(x + 2)=12
x = 1
4x - x + 3x = -12
x = -2
Grady started the day with 18 pieces of candy. He gave some away and now he has 9 left over. How many did Grady give away. Write an equation describing the situation and solve.
18 - g = 9; g = 9
8 - x = 12
x = -4
10(2x - 4) = -100
x = -3
2x - 3 - 5x + 4 = -5
x = 2
After Sadie spent half of her money, she had $18 left over. How much money did Sadie start with? Write an equation describing the situation and solve.
m/2 = 18; m = 36
-5x = 30
x = -6
2(x - 4) = 10
x = 9
-3x + 2 + 6x = 11
x = 3
After making $5 per hour working for his parents, Craig received an extra $7 bonus from his parents for working so hard. He now has $22. How many hours did Craig work? Write and solve an equation that describes the situation.
5h + 7 = 22; h = 3
-8(2x - 5) = 88
x = -3
4x - 6 - 8x + 2 = 12
x = -4
Ava 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/2 + 14 = 84; s = 140
-4x = 6
x = -1.5
-14x - 10 = -17
x = 1/2
4(3x - 8) = -14
x = 1.5
2(3x - 4) + 2x = 16
x = 3
The amount of cookies that Summer 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.
2(5p + 10) = 120; p = 10