﻿ Solve for Variable Worksheet | Problems & Solutions

# Solve for Variable Worksheet

Solve for Variable Worksheet
• Page 1
1.
Find the value of $n$ if 280 × $n$ = 280.
 a. 10 b. 1 c. 2 d. 20

#### Solution:

280 × n = 280.
[Original algebraic expression.]

As the product of any number and 1 is the number itself, 280 × 1 = 280.

So, n = 1.

2.
Find the value of $n$ if 200 × $n$ = 0.
 a. 10 b. 1 c. 20

#### Solution:

200 × n = 0.
[Original algebraic expression.]

As the product of any number and 0 is 0, 200 × 0 = 0.

So, n = 0.

3.
Find the value of $n$, if 76 + $n$ = 143.
 a. 54 b. 67 c. 90 d. 80

#### Solution:

76 + n = 143
[Original algebraic expression.]

n = 143 - 76
[Subtract 76 from both sides.]

n = 67

So, the value of the missing number is 67.

4.
Find the value of $n$ if 68 + $n$ = 286.
 a. 218 b. 208 c. 354 d. $\frac{34}{143}$

#### Solution:

68 + n = 286
[Original algebraic expression.]

n = 286 - 68
[Subtract 68 from both sides.]

n = 218

So, the value of the missing number is 218.

5.
Find the value of $n$, if 154 + $n$ = 260.
 a. 106 b. 89 c. 145 d. 160

#### Solution:

154 + n = 260
[Original algebraic expression.]

n = 260 - 154
[Subtract 154 from both sides.]

n = 106

So, the value of the missing number is 106.

6.
Find the value of the missing number $n$.
$\frac{5}{3}$ + $n$ = $\frac{10}{3}$
 a. $\frac{5}{11}$ b. 1 c. $\frac{5}{7}$ d. $\frac{5}{3}$

#### Solution:

5 / 3 + n = 10 / 3
[Original algebraic expression.]

n = 10 / 3 - 5 / 3
[Subtract 5 / 3 from both sides.]

n = 10 - 5 / 3
[Subtract the numerators.]

n = 5 / 3

So, the value of the missing number is 5 / 3.

7.
Find the value of the missing number $n$.
$n$ + $\frac{2}{5}$ = $\frac{4}{5}$
 a. $\frac{2}{5}$ b. $\frac{2}{7}$ c. $\frac{2}{11}$ d. $\frac{2}{3}$

#### Solution:

n + 2 / 5 = 4 / 5
[Original algebraic expression.]

n = 4 / 5 - 2 / 5
[Subtract 2 / 5 from both sides.]

n = 4 - 2 / 5
[Subtract the numerators.]

n = 2 / 5

So, the value of the missing number is 2 / 5.

8.
What is the value of $n$ in the number sentence $n$ - 8 = 3?
 a. 8 b. 9 c. 10 d. 11

#### Solution:

n - 8 = 3
[Original algebraic equation.]

n = 3 + 8

n = 11

So, the value of n is 11.

9.
Find the value of the missing number $n$.
$n$ + $\frac{4}{11}$ = $\frac{13}{11}$
 a. $\frac{10}{11}$ b. $\frac{9}{11}$ c. $\frac{9}{10}$ d. $\frac{11}{9}$

#### Solution:

n + 4 / 11 = 13 / 11
[Original algebraic expression.]

n = 13 / 11 - 4 / 11
[Subtract 4 / 11 from both sides.]

n = 13 - 4 / 11
[Subtract the numerators.]

n = 9 / 11
[Simplify the fraction.]

So, the value of the missing number is 9 / 11.

10.
Find the value of the missing number $n$.
$n$ + $\frac{7}{12}$ = $\frac{16}{12}$
 a. $\frac{3}{4}$ b. $\frac{3}{5}$ c. $\frac{4}{5}$ d. 1

#### Solution:

n + 7 / 12 = 16 / 12
[Original algebraic expression.]

n = 16 / 12 - 7 / 12
[Subtract 7 / 12 from both sides.]

n = 16 - 7 / 12
[Subtract the numerators.]

n = 9 / 12

n = 3 / 4
[Simplify the fraction.]

So, the value of the missing number is 3 / 4.