Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Explanation:
We are given that:
- $ a = -1 $
- $ b = 5 $

We need to evaluate each expression by substituting these values and simplifying.

Let’s go row by row, left to right.

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Row 1:
1. $ 5b - 5 + 10 $
→ $ 5(5) - 5 + 10 = 25 - 5 + 10 = 20 + 10 = 30 $

2. $ 2a^2 - 13 + 10 $
→ $ a^2 = (-1)^2 = 1 $, so $ 2(1) - 13 + 10 = 2 - 13 + 10 = -11 + 10 = -1 $

3. $ b + b^2 - 5 $
→ $ b = 5 $, $ b^2 = 25 $, so $ 5 + 25 - 5 = 30 - 5 = 25 $

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Row 2:
4. $ 4a - 6 + 2b $
→ $ 4(-1) - 6 + 2(5) = -4 - 6 + 10 = -10 + 10 = 0 $

5. $ 2a^2 - 9a + 10 $
→ $ a^2 = 1 $, so $ 2(1) - 9(-1) + 10 = 2 + 9 + 10 = 21 $

6. $ b + 2a^2 - 5 $
→ $ 5 + 2(1) - 5 = 5 + 2 - 5 = 2 $

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Row 3:
7. $ 6a^2 + b - 10 $
→ $ a^2 = 1 $, so $ 6(1) + 5 - 10 = 6 + 5 - 10 = 11 - 10 = 1 $

8. $ 10 + b^2 - 2b^2 $
→ $ b^2 = 25 $, so $ 10 + 25 - 2(25) = 10 + 25 - 50 = 35 - 50 = -15 $

9. $ 3a + 2b + 5 $
→ $ 3(-1) + 2(5) + 5 = -3 + 10 + 5 = 7 + 5 = 12 $

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Row 4:
10. $ a + 3b - 15 $
→ $ -1 + 3(5) - 15 = -1 + 15 - 15 = -1 + 0 = -1 $

11. $ 3a^2 + b^2 - 28 $
→ $ 3(1) + 25 - 28 = 3 + 25 - 28 = 28 - 28 = 0 $

12. $ -5a - 2b + 15 $
→ $ -5(-1) - 2(5) + 15 = 5 - 10 + 15 = -5 + 15 = 10 $

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Row 5:
13. $ a + 2a^2 - 3 $
→ $ -1 + 2(1) - 3 = -1 + 2 - 3 = 1 - 3 = -2 $

14. $ 9a^2 - 4 + b $
→ $ 9(1) - 4 + 5 = 9 - 4 + 5 = 5 + 5 = 10 $

15. $ 6 + 16a^2 - a^2 $
→ $ a^2 = 1 $, so $ 6 + 16(1) - 1 = 6 + 16 - 1 = 22 - 1 = 21 $

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Row 6:
16. $ -10 + 5b - b^2 $
→ $ -10 + 5(5) - 25 = -10 + 25 - 25 = -10 + 0 = -10 $

17. $ 2a + 3 + a^2 $
→ $ 2(-1) + 3 + 1 = -2 + 3 + 1 = 1 + 1 = 2 $

18. $ 15 + a^2 - b^2 $
→ $ 15 + 1 - 25 = 16 - 25 = -9 $

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Row 7:
19. $ 3b^2 + a + 45 $
→ $ 3(25) + (-1) + 45 = 75 - 1 + 45 = 74 + 45 = 119 $

20. $ 3a + b^2 - 12 $
→ $ 3(-1) + 25 - 12 = -3 + 25 - 12 = 22 - 12 = 10 $

21. $ 2 - 2a^2 - 4b $
→ $ 2 - 2(1) - 4(5) = 2 - 2 - 20 = 0 - 20 = -20 $

Let me double-check a few tricky ones:

- #8: $ 10 + b^2 - 2b^2 = 10 - b^2 = 10 - 25 = -15 $ ✔
- #15: $ 6 + 16a^2 - a^2 = 6 + 15a^2 = 6 + 15 = 21 $ ✔
- #19: $ 3b^2 = 75 $, $ + a = -1 $, $ +45 $ → $ 75 -1 +45 = 119 $ ✔
- #21: $ 2 - 2(1) - 20 = -20 $ ✔

All look correct.

Final Answer:
30, -1, 25, 0, 21, 2, 1, -15, 12, -1, 0, 10, -2, 10, 21, -10, 2, -9, 119, 10, -20