Pre-Algebra Practice Worksheet | Worksheets Worksheets - Free Printable

Problem: Solve the equations and find the square roots as instructed.

#### Part 1: Solve each equation

1. 2a + a = 18
- Combine like terms:
\[
2a + a = 3a
\]
- So the equation becomes:
\[
3a = 18
\]
- Solve for \( a \):
\[
a = \frac{18}{3} = 6
\]
- Answer: \( a = 6 \)

2. 4a + 3a = -21
- Combine like terms:
\[
4a + 3a = 7a
\]
- So the equation becomes:
\[
7a = -21
\]
- Solve for \( a \):
\[
a = \frac{-21}{7} = -3
\]
- Answer: \( a = -3 \)

3. 5x - 3x = -20
- Combine like terms:
\[
5x - 3x = 2x
\]
- So the equation becomes:
\[
2x = -20
\]
- Solve for \( x \):
\[
x = \frac{-20}{2} = -10
\]
- Answer: \( x = -10 \)

4. -9x + 4x = -15
- Combine like terms:
\[
-9x + 4x = -5x
\]
- So the equation becomes:
\[
-5x = -15
\]
- Solve for \( x \):
\[
x = \frac{-15}{-5} = 3
\]
- Answer: \( x = 3 \)

5. 2b + 6b = -24
- Combine like terms:
\[
2b + 6b = 8b
\]
- So the equation becomes:
\[
8b = -24
\]
- Solve for \( b \):
\[
b = \frac{-24}{8} = -3
\]
- Answer: \( b = -3 \)

6. 7x - 3x = -32
- Combine like terms:
\[
7x - 3x = 4x
\]
- So the equation becomes:
\[
4x = -32
\]
- Solve for \( x \):
\[
x = \frac{-32}{4} = -8
\]
- Answer: \( x = -8 \)

7. 5x + 4x = -27
- Combine like terms:
\[
5x + 4x = 9x
\]
- So the equation becomes:
\[
9x = -27
\]
- Solve for \( x \):
\[
x = \frac{-27}{9} = -3
\]
- Answer: \( x = -3 \)

#### Part 2: Find each square root

8. √64
- The square root of 64 is the number that, when multiplied by itself, gives 64.
- \( 8 \times 8 = 64 \)
- Answer: \( \sqrt{64} = 8 \)

9. √36
- The square root of 36 is the number that, when multiplied by itself, gives 36.
- \( 6 \times 6 = 36 \)
- Answer: \( \sqrt{36} = 6 \)

10. √25
- The square root of 25 is the number that, when multiplied by itself, gives 25.
- \( 5 \times 5 = 25 \)
- Answer: \( \sqrt{25} = 5 \)

11. √81
- The square root of 81 is the number that, when multiplied by itself, gives 81.
- \( 9 \times 9 = 81 \)
- Answer: \( \sqrt{81} = 9 \)

12. √144
- The square root of 144 is the number that, when multiplied by itself, gives 144.
- \( 12 \times 12 = 144 \)
- Answer: \( \sqrt{144} = 12 \)

13. √121
- The square root of 121 is the number that, when multiplied by itself, gives 121.
- \( 11 \times 11 = 121 \)
- Answer: \( \sqrt{121} = 11 \)

14. √0
- The square root of 0 is the number that, when multiplied by itself, gives 0.
- \( 0 \times 0 = 0 \)
- Answer: \( \sqrt{0} = 0 \)

Final Answers:

1. \( a = 6 \)
2. \( a = -3 \)
3. \( x = -10 \)
4. \( x = 3 \)
5. \( b = -3 \)
6. \( x = -8 \)
7. \( x = -3 \)
8. \( \sqrt{64} = 8 \)
9. \( \sqrt{36} = 6 \)
10. \( \sqrt{25} = 5 \)
11. \( \sqrt{81} = 9 \)
12. \( \sqrt{144} = 12 \)
13. \( \sqrt{121} = 11 \)
14. \( \sqrt{0} = 0 \)

\boxed{
\begin{array}{ll}
1. & a = 6 \\
2. & a = -3 \\
3. & x = -10 \\
4. & x = 3 \\
5. & b = -3 \\
6. & x = -8 \\
7. & x = -3 \\
8. & \sqrt{64} = 8 \\
9. & \sqrt{36} = 6 \\
10. & \sqrt{25} = 5 \\
11. & \sqrt{81} = 9 \\
12. & \sqrt{144} = 12 \\
13. & \sqrt{121} = 11 \\
14. & \sqrt{0} = 0 \\
\end{array}
}