Evaluating Algebraic Expressions (Worksheets) - Free Printable

Let's solve each expression step by step based on the given values.

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Part 1: Evaluate the following expressions for $ x = 6 $

1. $ 7x $
$ 7 \times 6 = 42 $

2. $ \frac{x}{3} $
$ \frac{6}{3} = 2 $

3. $ 29 - x $
$ 29 - 6 = 23 $

4. $ \frac{36}{x} $
$ \frac{36}{6} = 6 $

5. $ 5x $
$ 5 \times 6 = 30 $

6. $ x + 41 $
$ 6 + 41 = 47 $

7. $ 3x + x $
$ 3(6) + 6 = 18 + 6 = 24 $

8. $ 2x + 2 $
$ 2(6) + 2 = 12 + 2 = 14 $

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Part 2: Evaluate the following expressions for $ b = 2 $ and $ c = 7 $

9. $ 5 + b + c $
$ 5 + 2 + 7 = 14 $

10. $ 16 + b + c $
$ 16 + 2 + 7 = 25 $

11. $ c - b + 1 $
$ 7 - 2 + 1 = 6 $

12. $ 9b - c $
$ 9(2) - 7 = 18 - 7 = 11 $

13. $ 7c - b $
$ 7(7) - 2 = 49 - 2 = 47 $

14. $ 4c + b $
$ 4(7) + 2 = 28 + 2 = 30 $

15. $ 12b + c $
$ 12(2) + 7 = 24 + 7 = 31 $

16. $ 22 + b + c $
$ 22 + 2 + 7 = 31 $

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Part 3: Evaluate the following expressions for $ y = 8 $ and $ d = 4 $

17. $ \frac{6y}{d} $
$ \frac{6 \times 8}{4} = \frac{48}{4} = 12 $

18. $ \frac{20}{d} + y $
$ \frac{20}{4} + 8 = 5 + 8 = 13 $

19. $ \frac{y^2}{d} $
$ \frac{8^2}{4} = \frac{64}{4} = 16 $

20. $ \frac{y}{d} + 6 $
$ \frac{8}{4} + 6 = 2 + 6 = 8 $

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✔ Final Answers:

Part 1 (x = 6):
1. 42
2. 2
3. 23
4. 6
5. 30
6. 47
7. 24
8. 14

Part 2 (b = 2, c = 7):
9. 14
10. 25
11. 6
12. 11
13. 47
14. 30
15. 31
16. 31

Part 3 (y = 8, d = 4):
17. 12
18. 13
19. 16
20. 8

Let me know if you'd like this formatted as a printable answer sheet!