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Solve One-step Equations Worksheet
Practice Problems
n 4 13
[Original equation.]
n 4 13
[Divide each side by 4.]
=4 13 4 1
[Write 4 as4 1
=4 13 1 4
[Multiply by the reciprocal of4 1 1 4
=4×1 13×4
=1×1 13×1
[Cancel 4 with 4.]
=1 13
[Simplify.]
So, the value ofn 1 13
x
[Original expression.]
(x
[Add 3 on both sides to get 9.]
x
[Add.]
The value ofx
n n
7n
[Original equation.]
n 14 7
[Divide each side by 7.]
n
So, the value of the numbern
n 6
n
[Multiply each side by 6.]
= 96
[Multiply.]
So, the numbern
n n
23 times the numbern n
77 timesn n n n
= 54n
[Subtract.]
So, the difference between 77 timesn n n
x
[Original expression.]
x
[Subtract 24 from both the sides.]
x
[Subtract 24 from 31.]
x
[Substitutex
= 10
[Add.]
The value ofx x
m
[Original algebraic expression.]
= 20 + 36
[Substitutem
= 56
[Add.]
So,m m
b
[Original algebraic expression.]
= 5 × 8
[Substituteb
= 40
[Multiply.]
So,b b
Solve One-step Equations Worksheet
- Page 1
1.
What is the value of in the equation?
4 =
| a. | 1 | ||
| b. | |||
 | c. | ||
| d. | None of the above |
Solution:
4[Original equation.]
[Divide each side by 4.]
=
[Write 4 as
=
[Multiply by the reciprocal of
=
=
[Cancel 4 with 4.]
=
[Simplify.]
So, the value of
Correct answer : (3)
2.
Find the value of + 9 , if + 6 = 15 .
| a. | 18 | |
| b. | 23 | ||
| c. | 28 | ||
| d. | 13 |
Solution:
[Original expression.]
(
[Add 3 on both sides to get 9.]
[Add.]
The value of
Correct answer : (1)
3.
7 times a number equals 14. What is the value of ?
| a. | 2 | |
| b. | 3 | ||
| c. | 4 | ||
| d. | 1 |
Solution:
7 times a number7
[Original equation.]
[Divide each side by 7.]
So, the value of the number
Correct answer : (1)
4.
The quotient, when a number is divided by 6, equals 16. Find the number.
| a. | 96 | |
| b. | 86 | ||
| c. | 106 | ||
| d. | 101 |
Solution:
[Multiply each side by 6.]
= 96
[Multiply.]
So, the number
Correct answer : (1)
5.
The difference between 77 times a number and 23 times the same number is ____ times the same number.
| a. | 54 | |
| b. | 58 | ||
| c. | 59 | ||
| d. | 52 |
Solution:
77 times a number23 times the number
77 times
= 54
[Subtract.]
So, the difference between 77 times
Correct answer : (1)
6.
Find the value of + 3 , if + 24 = 31 .
| a. | 17 | ||
| b. | 8 | ||
| c. | 10 | |
| d. | 7 |
Solution:
[Original expression.]
[Subtract 24 from both the sides.]
[Subtract 24 from 31.]
[Substitute
= 10
[Add.]
The value of
Correct answer : (3)
7.
Solve the expression, + 36 for = 20 .
| a. | 41 | ||
| b. | 56 | |
| c. | 71 | ||
| d. | 86 |
Solution:
[Original algebraic expression.]
= 20 + 36
[Substitute
= 56
[Add.]
So,
Correct answer : (2)
8.
Solve the expression × 8 for = 5 .
| a. | 55 | ||
| b. | 45 | ||
| c. | 40 | |
| d. | 25 |
Solution:
[Original algebraic expression.]
= 5 × 8
[Substitute
= 40
[Multiply.]
So,
Correct answer : (3)