Find Missing Variable Addition Subtraction Multiplication Worksheet - Free Printable

To solve the problem, we need to find the value of the unknown variable in each expression. Let's break it down step by step for each type of expression: addition, subtraction, and multiplication.

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Addition Expressions

The general form is \( a + x = b \). To find \( x \), we subtract \( a \) from both sides:
\[ x = b - a \]

#### a) \( 23 + n = 25 \)
\[ n = 25 - 23 = 2 \]
So, \( n = 2 \).

#### b) \( 47 + t = 69 \)
\[ t = 69 - 47 = 22 \]
So, \( t = 22 \).

#### c) \( 65 + h = 100 \)
\[ h = 100 - 65 = 35 \]
So, \( h = 35 \).

#### d) \( r + 8 = 72 \)
\[ r = 72 - 8 = 64 \]
So, \( r = 64 \).

#### e) \( m + 44 = 51 \)
\[ m = 51 - 44 = 7 \]
So, \( m = 7 \).

#### f) \( w + 29 = 45 \)
\[ w = 45 - 29 = 16 \]
So, \( w = 16 \).

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Subtraction Expressions

The general form is \( a - x = b \). To find \( x \), we rearrange the equation:
\[ x = a - b \]

#### a) \( 13 - n = 2 \)
\[ n = 13 - 2 = 11 \]
So, \( n = 11 \).

#### b) \( 28 - t = 15 \)
\[ t = 28 - 15 = 13 \]
So, \( t = 13 \).

#### c) \( 32 - h = 10 \)
\[ h = 32 - 10 = 22 \]
So, \( h = 22 \).

#### d) \( r - 15 = 5 \)
\[ r = 5 + 15 = 20 \]
So, \( r = 20 \).

#### e) \( m - 40 = 20 \)
\[ m = 20 + 40 = 60 \]
So, \( m = 60 \).

#### f) \( w - 9 = 45 \)
\[ w = 45 + 9 = 54 \]
So, \( w = 54 \).

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Multiplication Expressions

The general form is \( a \times x = b \). To find \( x \), we divide both sides by \( a \):
\[ x = \frac{b}{a} \]

#### a) \( 6 \times n = 12 \)
\[ n = \frac{12}{6} = 2 \]
So, \( n = 2 \).

#### b) \( 7 \times t = 21 \)
\[ t = \frac{21}{7} = 3 \]
So, \( t = 3 \).

#### c) \( 10 \times h = 60 \)
\[ h = \frac{60}{10} = 6 \]
So, \( h = 6 \).

#### d) \( r \times 5 = 35 \)
\[ r = \frac{35}{5} = 7 \]
So, \( r = 7 \).

#### e) \( m \times 4 = 20 \)
\[ m = \frac{20}{4} = 5 \]
So, \( m = 5 \).

#### f) \( w \times 9 = 36 \)
\[ w = \frac{36}{9} = 4 \]
So, \( w = 4 \).

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Final Answers

Combining all the results, we have:

- Addition Expressions:
\[
n = 2, \quad t = 22, \quad h = 35, \quad r = 64, \quad m = 7, \quad w = 16
\]

- Subtraction Expressions:
\[
n = 11, \quad t = 13, \quad h = 22, \quad r = 20, \quad m = 60, \quad w = 54
\]

- Multiplication Expressions:
\[
n = 2, \quad t = 3, \quad h = 6, \quad r = 7, \quad m = 5, \quad w = 4
\]

Thus, the final answer is:
\[
\boxed{
\begin{array}{ll}
\text{Addition:} & n = 2, t = 22, h = 35, r = 64, m = 7, w = 16 \\
\text{Subtraction:} & n = 11, t = 13, h = 22, r = 20, m = 60, w = 54 \\
\text{Multiplication:} & n = 2, t = 3, h = 6, r = 7, m = 5, w = 4 \\
\end{array}
}
\]