Problem: Evaluating Variable Expressions
The task is to evaluate the given variable expressions by substituting the provided values for the variables and performing the necessary arithmetic operations. Let's solve each problem step by step.
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1. \( x + y \) for \( x = 2 \), \( y = 4 \)
- Substitute \( x = 2 \) and \( y = 4 \) into the expression \( x + y \):
\[
x + y = 2 + 4
\]
- Perform the addition:
\[
2 + 4 = 6
\]
Answer: \( \boxed{6} \)
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2. \( x + y \) for \( x = 1 \), \( y = 3 \)
- Substitute \( x = 1 \) and \( y = 3 \) into the expression \( x + y \):
\[
x + y = 1 + 3
\]
- Perform the addition:
\[
1 + 3 = 4
\]
Answer: \( \boxed{4} \)
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3. \( x - y \) for \( x = 3 \), \( y = 2 \)
- Substitute \( x = 3 \) and \( y = 2 \) into the expression \( x - y \):
\[
x - y = 3 - 2
\]
- Perform the subtraction:
\[
3 - 2 = 1
\]
Answer: \( \boxed{1} \)
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4. \( x - y \) for \( x = 6 \), \( y = 2 \)
- Substitute \( x = 6 \) and \( y = 2 \) into the expression \( x - y \):
\[
x - y = 6 - 2
\]
- Perform the subtraction:
\[
6 - 2 = 4
\]
Answer: \( \boxed{4} \)
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5. \( m - 7 \) for \( m = 9 \)
- Substitute \( m = 9 \) into the expression \( m - 7 \):
\[
m - 7 = 9 - 7
\]
- Perform the subtraction:
\[
9 - 7 = 2
\]
Answer: \( \boxed{2} \)
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####
6. \( m + 6 \) for \( m = 3 \)
- Substitute \( m = 3 \) into the expression \( m + 6 \):
\[
m + 6 = 3 + 6
\]
- Perform the addition:
\[
3 + 6 = 9
\]
Answer: \( \boxed{9} \)
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Final Answers:
1. \( \boxed{6} \)
2. \( \boxed{4} \)
3. \( \boxed{1} \)
4. \( \boxed{4} \)
5. \( \boxed{2} \)
6. \( \boxed{9} \)
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Explanation:
To evaluate a variable expression, follow these steps:
1. Identify the given values for the variables.
2. Substitute these values into the expression.
3. Perform the arithmetic operations (addition, subtraction, etc.) as indicated in the expression.
4. Simplify to find the final result.
This method ensures accuracy and consistency in solving such problems.
Final Answer Boxed:
\[
\boxed{6, 4, 1, 4, 2, 9}
\]
Parent Tip: Review the logic above to help your child master the concept of mathematics pre algebra 4 5 worksheet.