Math worksheet with missing number equations and answer key.
A math worksheet titled "Supply the missing value in the equation" with equations and a "Answer Key" section, featuring a colorful logo at the top.
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ID: #916452
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Show Answer Key & Explanations
Step-by-step solution for: Pre-Algebra Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Pre-Algebra Worksheets
The task involves solving simple arithmetic equations by supplying the missing values. Each equation is structured such that one of the operands or the result is missing, and you need to determine the correct value to make the equation true.
#### 1. First Row:
- Equation: \( 35 \div \_\_ = 7 \)
- To solve for the missing value, we use the formula:
\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\]
Here, \( 35 \div x = 7 \). Solving for \( x \):
\[
x = \frac{35}{7} = 5
\]
So, the missing value is \( 5 \).
#### 2. Second Row:
- Equation: \( 8 \times \_\_ = 72 \)
- To solve for the missing value, we use the formula:
\[
\text{Factor} \times \text{Factor} = \text{Product}
\]
Here, \( 8 \times x = 72 \). Solving for \( x \):
\[
x = \frac{72}{8} = 9
\]
So, the missing value is \( 9 \).
#### 3. Third Row:
- Equation: \( 10 + \_\_ = 5 \)
- To solve for the missing value, we use the formula:
\[
\text{Addend} + \text{Addend} = \text{Sum}
\]
Here, \( 10 + x = 5 \). Solving for \( x \):
\[
x = 5 - 10 = -5
\]
So, the missing value is \( -5 \).
#### 4. Fourth Row:
- Equation: \( 48 \div \_\_ = 8 \)
- To solve for the missing value, we use the formula:
\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\]
Here, \( 48 \div x = 8 \). Solving for \( x \):
\[
x = \frac{48}{8} = 6
\]
So, the missing value is \( 6 \).
#### 5. Fifth Row:
- Equation: \( \_\_ - 6 = 0 \)
- To solve for the missing value, we use the formula:
\[
\text{Minuend} - \text{Subtrahend} = \text{Difference}
\]
Here, \( x - 6 = 0 \). Solving for \( x \):
\[
x = 0 + 6 = 6
\]
So, the missing value is \( 6 \).
#### 6. Sixth Row:
- Equation: \( 3 \times \_\_ = 9 \)
- To solve for the missing value, we use the formula:
\[
\text{Factor} \times \text{Factor} = \text{Product}
\]
Here, \( 3 \times x = 9 \). Solving for \( x \):
\[
x = \frac{9}{3} = 3
\]
So, the missing value is \( 3 \).
#### 7. Seventh Row:
- Equation: \( \_\_ - 4 = 9 \)
- To solve for the missing value, we use the formula:
\[
\text{Minuend} - \text{Subtrahend} = \text{Difference}
\]
Here, \( x - 4 = 9 \). Solving for \( x \):
\[
x = 9 + 4 = 13
\]
So, the missing value is \( 13 \).
#### 8. Eighth Row:
- Equation: \( 20 \div \_\_ = 5 \)
- To solve for the missing value, we use the formula:
\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\]
Here, \( 20 \div x = 5 \). Solving for \( x \):
\[
x = \frac{20}{5} = 4
\]
So, the missing value is \( 4 \).
#### 9. Ninth Row:
- Equation: \( 15 - \_\_ = 11 \)
- To solve for the missing value, we use the formula:
\[
\text{Minuend} - \text{Subtrahend} = \text{Difference}
\]
Here, \( 15 - x = 11 \). Solving for \( x \):
\[
x = 15 - 11 = 4
\]
So, the missing value is \( 4 \).
#### 10. Tenth Row:
- Equation: \( 3 + \_\_ = 6 \)
- To solve for the missing value, we use the formula:
\[
\text{Addend} + \text{Addend} = \text{Sum}
\]
Here, \( 3 + x = 6 \). Solving for \( x \):
\[
x = 6 - 3 = 3
\]
So, the missing value is \( 3 \).
---
\[
\boxed{5, 9, -5, 6, 6, 3, 13, 4, 4, 3}
\]
Step-by-Step Solution:
#### 1. First Row:
- Equation: \( 35 \div \_\_ = 7 \)
- To solve for the missing value, we use the formula:
\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\]
Here, \( 35 \div x = 7 \). Solving for \( x \):
\[
x = \frac{35}{7} = 5
\]
So, the missing value is \( 5 \).
#### 2. Second Row:
- Equation: \( 8 \times \_\_ = 72 \)
- To solve for the missing value, we use the formula:
\[
\text{Factor} \times \text{Factor} = \text{Product}
\]
Here, \( 8 \times x = 72 \). Solving for \( x \):
\[
x = \frac{72}{8} = 9
\]
So, the missing value is \( 9 \).
#### 3. Third Row:
- Equation: \( 10 + \_\_ = 5 \)
- To solve for the missing value, we use the formula:
\[
\text{Addend} + \text{Addend} = \text{Sum}
\]
Here, \( 10 + x = 5 \). Solving for \( x \):
\[
x = 5 - 10 = -5
\]
So, the missing value is \( -5 \).
#### 4. Fourth Row:
- Equation: \( 48 \div \_\_ = 8 \)
- To solve for the missing value, we use the formula:
\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\]
Here, \( 48 \div x = 8 \). Solving for \( x \):
\[
x = \frac{48}{8} = 6
\]
So, the missing value is \( 6 \).
#### 5. Fifth Row:
- Equation: \( \_\_ - 6 = 0 \)
- To solve for the missing value, we use the formula:
\[
\text{Minuend} - \text{Subtrahend} = \text{Difference}
\]
Here, \( x - 6 = 0 \). Solving for \( x \):
\[
x = 0 + 6 = 6
\]
So, the missing value is \( 6 \).
#### 6. Sixth Row:
- Equation: \( 3 \times \_\_ = 9 \)
- To solve for the missing value, we use the formula:
\[
\text{Factor} \times \text{Factor} = \text{Product}
\]
Here, \( 3 \times x = 9 \). Solving for \( x \):
\[
x = \frac{9}{3} = 3
\]
So, the missing value is \( 3 \).
#### 7. Seventh Row:
- Equation: \( \_\_ - 4 = 9 \)
- To solve for the missing value, we use the formula:
\[
\text{Minuend} - \text{Subtrahend} = \text{Difference}
\]
Here, \( x - 4 = 9 \). Solving for \( x \):
\[
x = 9 + 4 = 13
\]
So, the missing value is \( 13 \).
#### 8. Eighth Row:
- Equation: \( 20 \div \_\_ = 5 \)
- To solve for the missing value, we use the formula:
\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\]
Here, \( 20 \div x = 5 \). Solving for \( x \):
\[
x = \frac{20}{5} = 4
\]
So, the missing value is \( 4 \).
#### 9. Ninth Row:
- Equation: \( 15 - \_\_ = 11 \)
- To solve for the missing value, we use the formula:
\[
\text{Minuend} - \text{Subtrahend} = \text{Difference}
\]
Here, \( 15 - x = 11 \). Solving for \( x \):
\[
x = 15 - 11 = 4
\]
So, the missing value is \( 4 \).
#### 10. Tenth Row:
- Equation: \( 3 + \_\_ = 6 \)
- To solve for the missing value, we use the formula:
\[
\text{Addend} + \text{Addend} = \text{Sum}
\]
Here, \( 3 + x = 6 \). Solving for \( x \):
\[
x = 6 - 3 = 3
\]
So, the missing value is \( 3 \).
---
Final Answer:
\[
\boxed{5, 9, -5, 6, 6, 3, 13, 4, 4, 3}
\]
Parent Tip: Review the logic above to help your child master the concept of algebra for 6th grade worksheet.