One-Step Equations — Practice
An equation is a balanced scale, and whatever you do to one side you must do to the other.
What these questions cover
These questions use 2 ideas from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Reciprocal — The flip of a fraction. The reciprocal of 35 is 53.
- Area — Space inside, measured in square units.
Problem 1
Solve x + 9 = 23.
Worked answer
14
x = 14
Problem 2
Solve x - 6 = 11.
Worked answer
17
x = 17
Problem 3
Solve 6x = 42.
Worked answer
7
x = 7
Problem 4
Solve x3 = 8.
Worked answer
24
x = 24
Problem 5
Solve x + 12 = 12.
Worked answer
0
x = 0
Problem 6
Solve 9x = 108.
Worked answer
12
x = 12
Problem 7
Solve x - 4.5 = 7.5.
Worked answer
12
x = 12
Problem 8
Solve x5 = 2.4.
Worked answer
12
x = 12
Problem 9
Seven more than a number is 19. Find the number.
Worked answer
12
n = 12
Problem 10
Four less than a number is 11. Find the number.
Worked answer
15
n = 15
Problem 11
Three times a number is 48. Find the number.
Worked answer
16
n = 16
Problem 12
A number divided by 4 is 7.5. Find the number.
Worked answer
30
n = 30
Problem 13
A rectangle has area 60 and width 5. Find its length.
Worked answer
12
L = 12
Problem 14
Is x = 6 a solution of 4x = 20?
- No
- Yes
- Only sometimes
- Cannot tell
Worked answer
No
4 × 6 = 24, not 20
Problem 15
After spending $18, someone has $27 left. How much did they start with?
Worked answer
45
n = 45
Problem 16
Solve 23x = 8.
Worked answer
12
x = 8 × 32 = 12