Simple Linear Equations worksheet with 15 algebra problems to solve for each variable.

To solve the given simple linear equations, we will isolate the variable on one side of the equation. Let's solve each equation step by step.

First Row:

1. \( 3x - 3 = 24 \)
\[
3x - 3 = 24
\]
Add 3 to both sides:
\[
3x = 27
\]
Divide by 3:
\[
x = 9
\]

2. \( 3v - 6 = 3 \)
\[
3v - 6 = 3
\]
Add 6 to both sides:
\[
3v = 9
\]
Divide by 3:
\[
v = 3
\]

3. \( 3z - 2 = 16 \)
\[
3z - 2 = 16
\]
Add 2 to both sides:
\[
3z = 18
\]
Divide by 3:
\[
z = 6
\]

Second Row:

4. \( 3x + 10 = 31 \)
\[
3x + 10 = 31
\]
Subtract 10 from both sides:
\[
3x = 21
\]
Divide by 3:
\[
x = 7
\]

5. \( 2z + 8 = 18 \)
\[
2z + 8 = 18
\]
Subtract 8 from both sides:
\[
2z = 10
\]
Divide by 2:
\[
z = 5
\]

6. \( 3u + 6 = 9 \)
\[
3u + 6 = 9
\]
Subtract 6 from both sides:
\[
3u = 3
\]
Divide by 3:
\[
u = 1
\]

Third Row:

7. \( 3z + 8 = 23 \)
\[
3z + 8 = 23
\]
Subtract 8 from both sides:
\[
3z = 15
\]
Divide by 3:
\[
z = 5
\]

8. \( 2u - 3 = 5 \)
\[
2u - 3 = 5
\]
Add 3 to both sides:
\[
2u = 8
\]
Divide by 2:
\[
u = 4
\]

9. \( 3x + 9 = 21 \)
\[
3x + 9 = 21
\]
Subtract 9 from both sides:
\[
3x = 12
\]
Divide by 3:
\[
x = 4
\]

Fourth Row:

10. \( 3v - 4 = 5 \)
\[
3v - 4 = 5
\]
Add 4 to both sides:
\[
3v = 9
\]
Divide by 3:
\[
v = 3
\]

11. \( 2x + 1 = 21 \)
\[
2x + 1 = 21
\]
Subtract 1 from both sides:
\[
2x = 20
\]
Divide by 2:
\[
x = 10
\]

12. \( 3z - 7 = 5 \)
\[
3z - 7 = 5
\]
Add 7 to both sides:
\[
3z = 12
\]
Divide by 3:
\[
z = 4
\]

Fifth Row:

13. \( 2c - 1 = 3 \)
\[
2c - 1 = 3
\]
Add 1 to both sides:
\[
2c = 4
\]
Divide by 2:
\[
c = 2
\]

14. \( 2u + 6 = 16 \)
\[
2u + 6 = 16
\]
Subtract 6 from both sides:
\[
2u = 10
\]
Divide by 2:
\[
u = 5
\]

15. \( 2a - 10 = 2 \)
\[
2a - 10 = 2
\]
Add 10 to both sides:
\[
2a = 12
\]
Divide by 2:
\[
a = 6
\]

Final Answers:

\[
\boxed{
\begin{array}{ccc}
x = 9 & v = 3 & z = 6 \\
x = 7 & z = 5 & u = 1 \\
z = 5 & u = 4 & x = 4 \\
v = 3 & x = 10 & z = 4 \\
c = 2 & u = 5 & a = 6 \\
\end{array}
}
\]