One-Step Equations
Z + 6 = 10
z = 4
3 + 2s = 7
s = 2
4x + 2 = 10
4x + 2 + 2 = 10 + 2
4x = 12
x = 3
Mistake: 4x + 2 + 2 = 10 + 2
Correct: 4x + 2 - 2 = 10 - 2
3(u + 3)= 18
u = 3
Amy used her first 2 tokens at the arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.
How many games of Balloon Bouncer did she play?
3x + 2 = 35
x = 11
11 games
q - 12 = 1
q = 13
2z + 2 = 8
z = 3
19 = 3x + 1
19 - 1 = 3x + 1 - 1
18 = 3x
18/3 = 3x/3
7 = x
Mistake:
18/3 = 3x/3; 7 = x
Correction:
18/3 = 3x/3; 6 = x
3(g-12) = 6
g = 14
Josue signed up for swimming school. He will spend 10 hours swimming with an instructor and will also attend weekly 2-hour classes. When Josue completes the 26 total hours of instruction, he will take his swim test.
How many weeks will the swim lessons last?
2x + 10 = 26
x = 8
8 weeks
4c = 24
c = 6
1 + 2j = 9
j = 4
3(2x + 2) = 30
6x + 2 = 30
6x + 2 - 2 = 30 - 2
6x = 28
x = 4.66
Mistake: 6x + 2 = 30
Correction: 6x + 6 = 30
20 = 2(f-7)
f = 17
Last summer, Jinglin's family rented a van. The rental fee allowed them to use the van for 8 days. Jinglin's family paid an extra $55 for an upgrade. Jinglin's family paid $895 in all.
What was the rental cost for each day that they used the van?
8x + 55 = 895
x = 105
$105 per day
8y=48
y = 6
4s - 17 = 3
s = 5
2(x-4) = 12
2x - 8 = 12
2x - 8 - 8 = 12 - 8
2x = 4
x = 2
Mistake: 2x - 8 - 8 = 12 - 8
Correction: 2x - 8 + 8 = 12 + 8
18 = 2(w-6)
w = 15
Milo and his friends are headed to an amusement park. They pan to purchase the group package, which costs $54 for 6 people. That's $3 less per person than the normal cost per person. What is the normal cost per person?
6(x-3) = 54
x = 12
The normal cost is $12 per person
11 = m - 4
m = 15
3v + 7 = 16
v = 3
-10x + 17 = -3
-10x + 17 + 3 = -3 + 3
-10x = 20
-10x/-10 = 20/-10
x = -2
Mistake: -10x + 17 + 3 = -3 + 3
Correction: -10x + 17 - 17 = -3 - 17
9 = 3(j-12)
j = 15
Ms. Johnson ordered 24 graphing calculators for her students to use in class. Since she ordered during the store's end-of-season sale, the store took $3.50 of the price of each calculator. Ms. Johnson paid $516 in all.
What is the cost of a calculator at full price?
24(x-3.50)= 516
x = 25
The full price of a calculator is $25