Free 9th Grade Math Worksheets Printable - Free Printable

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.

1. \( y + 5 = 17 \), \( y = 22 \)

- Substitute \( y = 22 \) into the equation:
\[
22 + 5 = 27
\]
- The left side is 27, but the right side is 17.
- False

2. \( 4x = 24 \), \( x = 6 \)

- Substitute \( x = 6 \) into the equation:
\[
4 \times 6 = 24
\]
- The left side is 24, which matches the right side.
- True

3. \( n \div 7 = 3 \), \( n = 21 \)

- Substitute \( n = 21 \) into the equation:
\[
21 \div 7 = 3
\]
- The left side is 3, which matches the right side.
- True

4. \( s - 13 = 21 \), \( s = 34 \)

- Substitute \( s = 34 \) into the equation:
\[
34 - 13 = 21
\]
- The left side is 21, which matches the right side.
- True

5. \( 20 \times y = 300 \), \( y = 160 \)

- Substitute \( y = 160 \) into the equation:
\[
20 \times 160 = 3200
\]
- The left side is 3200, but the right side is 300.
- False

6. \( n + 40 = 92 \), \( n = 50 \)

- Substitute \( n = 50 \) into the equation:
\[
50 + 40 = 90
\]
- The left side is 90, but the right side is 92.
- False

7. \( 27 = 3m \), \( m = 9 \)

- Substitute \( m = 9 \) into the equation:
\[
3 \times 9 = 27
\]
- The left side is 27, which matches the right side.
- True

8. \( 7 + t = 21 \), \( t = 11 \)

- Substitute \( t = 11 \) into the equation:
\[
7 + 11 = 18
\]
- The left side is 18, but the right side is 21.
- False

9. \( x - 8 = 24 \), \( x = 32 \)

- Substitute \( x = 32 \) into the equation:
\[
32 - 8 = 24
\]
- The left side is 24, which matches the right side.
- True

10. \( n + 24 = 61 \), \( m = 45 \)

- There seems to be a typo here. The variable in the equation is \( n \), but the given value is for \( m \). Assuming it should be \( n = 45 \):
- Substitute \( n = 45 \) into the equation:
\[
45 + 24 = 69
\]
- The left side is 69, but the right side is 61.
- False

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & \text{False} \\
2. & \text{True} \\
3. & \text{True} \\
4. & \text{True} \\
5. & \text{False} \\
6. & \text{False} \\
7. & \text{True} \\
8. & \text{False} \\
9. & \text{True} \\
10. & \text{False} \\
\end{array}
}
\]