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Pre Algebra Worksheet featuring equations and square root exercises for practice.

Pre Algebra Worksheet with equations and square root problems for students to solve.

Pre Algebra Worksheet with equations and square root problems for students to solve.

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Show Answer Key & Explanations Step-by-step solution for: Pre-Algebra Practice Worksheet Printable | Pre algebra worksheets ...
Explanation:
Let’s solve each problem step by step.

Part 1: Solve each equation

1. $ 2a + a = 18 $
Combine like terms: $ 3a = 18 $
Divide both sides by 3: $ a = 6 $

2. $ 4a + 3a = -21 $
Combine: $ 7a = -21 $
Divide: $ a = -3 $

3. $ 5x - 3x = -20 $
Combine: $ 2x = -20 $
Divide: $ x = -10 $

4. $ -9x + 4x = -15 $
Combine: $ -5x = -15 $
Divide: $ x = 3 $

5. $ 2b + 6b = -24 $
Combine: $ 8b = -24 $
Divide: $ b = -3 $

6. $ 7x - 3x = -32 $
Combine: $ 4x = -32 $
Divide: $ x = -8 $

7. $ 5x + 4x = -27 $
Combine: $ 9x = -27 $
Divide: $ x = -3 $

Part 2: Find each square root

8. $ \sqrt{64} $
What number times itself is 64? $ 8 \times 8 = 64 $, so $ \sqrt{64} = 8 $

9. $ \sqrt{36} $
$ 6 \times 6 = 36 $, so $ \sqrt{36} = 6 $

10. $ \sqrt{25} $
$ 5 \times 5 = 25 $, so $ \sqrt{25} = 5 $

11. $ \sqrt{81} $
$ 9 \times 9 = 81 $, so $ \sqrt{81} = 9 $

12. $ \sqrt{144} $
$ 12 \times 12 = 144 $, so $ \sqrt{144} = 12 $

13. $ \sqrt{121} $
$ 11 \times 11 = 121 $, so $ \sqrt{121} = 11 $

14. $ \sqrt{0} $
$ 0 \times 0 = 0 $, so $ \sqrt{0} = 0 $

Double-check all answers — they’re correct.

Final Answer:
1. 6
2. −3
3. −10
4. 3
5. −3
6. −8
7. −3
8. 8
9. 6
10. 5
11. 9
12. 12
13. 11
14. 0
Parent Tip: Review the logic above to help your child master the concept of beginning algebra worksheet free printable.
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