Solving One-Step Equations

Show your work for each problem.

1.
Solve:
1. a)
2. b)
3. c)
4. d)
Answer:
To solve , subtract from both sides: .
2.
Solve:
1. a)
2. b)
3. c)
4. d)
Answer:
To solve , add to both sides: .
3.
Solve:
1. a)
2. b)
3. c)
4. d)
Answer:
To solve , divide both sides by : .
4.
Solve:
Answer: 12
5.
Solve:
Answer: 25
6.
Solve:
Answer: 7
7.
Solve:
Answer: 45
8.
Solve:
Answer: 17
1. What operation is being done to ? addition
2. What is the inverse operation? subtraction
3. Calculate 17
9.
Solve:
Answer: 46
1. What operation is being done to ? subtraction
2. What is the inverse operation? addition
3. Calculate 46
10.
Solve:
Answer: 7
1. What operation is being done to ? multiplication
2. What is the inverse operation? division
3. Calculate 7
11.
Solve:
1. a)
2. b)
3. c)
4. d)
Answer:
To solve , multiply both sides by 7: .
12.
A book costs 23 euros. After buying it, you have 17 euros left. How much money did you have before buying the book? Write only the number.
Answer: 40
Let be the money you had. Then . Adding 23: euros.
13.
Each box contains 9 chocolates. You have 72 chocolates in total. How many boxes do you have?
Answer: 8
1. What variable represents the number of boxes? b
2. Write the equation using 72
3. Calculate 8
14.
After adding 35 points to your score, you have 128 points total. What was your original score?
Answer: 93
1. Let = original score. Write the equation. s + 35 = 128
2. What inverse operation isolates ? subtraction
3. Calculate 93
15.
Solve:
1. a)
2. b)
3. c)
4. d)
Answer:
.
16.
Solve:
Answer: 143
.
17.
You split 96 euros equally among some friends. Each friend received 12 euros. How many friends shared the money?
Answer: 8
1. Let = number of friends. Write the equation. 96/f = 12
2. Rewrite as a multiplication equation. 12f = 96
3. Calculate 8
18.
A temperature dropped by 18 degrees and is now at 5 degrees. What was the original temperature?
Answer: 23
1. Let = original temperature. What equation represents a drop of 18? t - 18 = 5
2. What inverse operation will isolate ? addition
3. Calculate 23