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.