Algebra worksheet for evaluating true or false statements with given variable values.

To solve the problem, we need to evaluate each equation with the given value of the variable and determine whether the statement is true or false. Let's go through each one step by step.

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1. \( y + 15 = 30 \), \( y = 20 \)

- Substitute \( y = 20 \) into the equation:
\[
20 + 15 = 35
\]
- The result is \( 35 \), which is not equal to \( 30 \).
- False

---

2. \( 9x = 63 \), \( x = 7 \)

- Substitute \( x = 7 \) into the equation:
\[
9 \times 7 = 63
\]
- The result is \( 63 \), which is equal to \( 63 \).
- True

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3. \( n \div 12 = 36 \), \( n = 108 \)

- Substitute \( n = 108 \) into the equation:
\[
108 \div 12 = 9
\]
- The result is \( 9 \), which is not equal to \( 36 \).
- False

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4. \( s - 62 = 44 \), \( s = 106 \)

- Substitute \( s = 106 \) into the equation:
\[
106 - 62 = 44
\]
- The result is \( 44 \), which is equal to \( 44 \).
- True

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5. \( 32 \times y = 256 \), \( y = 8 \)

- Substitute \( y = 8 \) into the equation:
\[
32 \times 8 = 256
\]
- The result is \( 256 \), which is equal to \( 256 \).
- True

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6. \( n + 65 = 87 \), \( n = 27 \)

- Substitute \( n = 27 \) into the equation:
\[
27 + 65 = 92
\]
- The result is \( 92 \), which is not equal to \( 87 \).
- False

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7. \( 64 = 8m \), \( m = 8 \)

- Substitute \( m = 8 \) into the equation:
\[
8 \times 8 = 64
\]
- The result is \( 64 \), which is equal to \( 64 \).
- True

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8. \( 56 + t = 72 \), \( t = 26 \)

- Substitute \( t = 26 \) into the equation:
\[
56 + 26 = 82
\]
- The result is \( 82 \), which is not equal to \( 72 \).
- False

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9. \( x - 63 = 37 \), \( x = 100 \)

- Substitute \( x = 100 \) into the equation:
\[
100 - 63 = 37
\]
- The result is \( 37 \), which is equal to \( 37 \).
- True

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10. \( n + 42 = 77 \), \( m = 45 \)

- Notice that the variable in the equation is \( n \), but the given value is for \( m \). This is a mismatch.
- Since \( m \) is not relevant to the equation, we cannot substitute it.
- False

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Final Answers:

1. False
2. True
3. False
4. True
5. True
6. False
7. True
8. False
9. True
10. False

\[
\boxed{\text{False, True, False, True, True, False, True, False, True, False}}
\]