Solve One-step Equations Worksheet

Solve One-step Equations Worksheet
  • Page 1
 1.  
What is the value of n in the equation?
4n = 4 13
a.
1
b.
13 1
c.
1 13
d.
None of the above


Solution:

4n = 4 / 13
[Original equation.]

n = 4 / 13 ÷ 4
[Divide each side by 4.]

= 4 / 13 ÷ 4 / 1
[Write 4 as 4 / 1.]

= 4 / 13 × 1 / 4
[Multiply by the reciprocal of 4 / 1, which is 1 / 4.]

= 4×1 / 13×4

= 1×1 / 13×1
[Cancel 4 with 4.]

= 1 / 13
[Simplify.]

So, the value of n is 1 / 13.


Correct answer : (3)
 2.  
Find the value of x + 9, if x + 6 = 15.
a.
18
b.
23
c.
28
d.
13


Solution:

x + 6 = 15
[Original expression.]

(x + 6) + 3 = 15 + 3
[Add 3 on both sides to get 9.]

x + 9 = 18
[Add.]

The value of x + 9 is 18.


Correct answer : (1)
 3.  
7 times a number n equals 14. What is the value of n?
a.
2
b.
3
c.
4
d.
1


Solution:

7 times a number n = 7n

7n = 14
[Original equation.]

n = 14 / 7
[Divide each side by 7.]

n = 2

So, the value of the number n is 2.


Correct answer : (1)
 4.  
The quotient, when a number n is divided by 6, equals 16. Find the number.
a.
96
b.
86
c.
106
d.
101


Solution:

n / 6 = 16

n = 16 × 6
[Multiply each side by 6.]

= 96
[Multiply.]

So, the number n is 96.


Correct answer : (1)
 5.  
The difference between 77 times a number n and 23 times the same number n is ____ times the same number.
a.
54
b.
58
c.
59
d.
52


Solution:

77 times a number n = 77n.

23 times the number n = 23n.

77 times n - 23 times n = 77n - 23n.

= 54n
[Subtract.]

So, the difference between 77 times n and 23 times n is 54 times n.


Correct answer : (1)
 6.  
Find the value of x + 3, if x + 24 = 31.
a.
17
b.
8
c.
10
d.
7


Solution:

x + 24 = 31
[Original expression.]

x = 31 - 24
[Subtract 24 from both the sides.]

x = 7
[Subtract 24 from 31.]

x + 3 = 7 + 3
[Substitute x = 7.]

= 10
[Add.]

The value of x + 3, if x + 24 = 31 is 10.


Correct answer : (3)
 7.  
Solve the expression, m + 36 for m = 20.
a.
41
b.
56
c.
71
d.
86


Solution:

m + 36
[Original algebraic expression.]

= 20 + 36
[Substitute m = 20.]

= 56
[Add.]

So, m + 36 = 56 when m = 20.


Correct answer : (2)
 8.  
Solve the expression b × 8 for b = 5.
a.
55
b.
45
c.
40
d.
25


Solution:

b × 8
[Original algebraic expression.]

= 5 × 8
[Substitute b = 5.]

= 40
[Multiply.]

So, b × 8 = 40 when b = 5.


Correct answer : (3)
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