Algebra worksheet for evaluating expressions using given variable values.

Let's solve each expression step by step using the given values from the table:

Given Values:

| a | b | c | m | n | t | u | x | y | z |
|---|---|---|---|---|---|---|---|---|---|
| 3 | 5 | 8 | 10| 14| 20| 25| -2| -5| 0.5|

We will evaluate each expression one by one.

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1. $ 3(4 + 9x) $

- $ x = -2 $
- $ 4 + 9(-2) = 4 - 18 = -14 $
- $ 3 \times (-14) = -42 $
✔ Answer: -42

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2. $ -3(2n + 3) $

- $ n = 14 $
- $ 2(14) + 3 = 28 + 3 = 31 $
- $ -3 \times 31 = -93 $
✔ Answer: -93

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3. $ -2(4 + 3t) $

- $ t = 20 $
- $ 4 + 3(20) = 4 + 60 = 64 $
- $ -2 \times 64 = -128 $
✔ Answer: -128

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4. $ -2(-4m - 8) $

- $ m = 10 $
- $ -4(10) - 8 = -40 - 8 = -48 $
- $ -2 \times (-48) = 96 $
✔ Answer: 96

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5. $ 5(y + 3) $

- $ y = -5 $
- $ -5 + 3 = -2 $
- $ 5 \times (-2) = -10 $
✔ Answer: -10

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6. $ -6(-2 - 2c) $

- $ c = 8 $
- $ -2 - 2(8) = -2 - 16 = -18 $
- $ -6 \times (-18) = 108 $
✔ Answer: 108

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7. $ 2(3t - 5) $

- $ t = 20 $
- $ 3(20) - 5 = 60 - 5 = 55 $
- $ 2 \times 55 = 110 $
✔ Answer: 110

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8. $ -4(a - 4) $

- $ a = 3 $
- $ 3 - 4 = -1 $
- $ -4 \times (-1) = 4 $
✔ Answer: 4

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9. $ -3(b - 2) $

- $ b = 5 $
- $ 5 - 2 = 3 $
- $ -3 \times 3 = -9 $
✔ Answer: -9

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10. $ 3(-1 - 4n) $

- $ n = 14 $
- $ -1 - 4(14) = -1 - 56 = -57 $
- $ 3 \times (-57) = -171 $
✔ Answer: -171

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11. $ -3(9u + 5) $

- $ u = 25 $
- $ 9(25) + 5 = 225 + 5 = 230 $
- $ -3 \times 230 = -690 $
✔ Answer: -690

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12. $ 9(z + 4) $

- $ z = 0.5 $
- $ 0.5 + 4 = 4.5 $
- $ 9 \times 4.5 = 40.5 $
✔ Answer: 40.5

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13. $ 3(-5 - 2t) $

- $ t = 20 $
- $ -5 - 2(20) = -5 - 40 = -45 $
- $ 3 \times (-45) = -135 $
✔ Answer: -135

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14. $ -3(3 + 6x) $

- $ x = -2 $
- $ 3 + 6(-2) = 3 - 12 = -9 $
- $ -3 \times (-9) = 27 $
✔ Answer: 27

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15. $ (-8 + u)6 $

- $ u = 25 $
- $ -8 + 25 = 17 $
- $ 17 \times 6 = 102 $
✔ Answer: 102

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16. $ -(5 - 2c) $

- $ c = 8 $
- $ 5 - 2(8) = 5 - 16 = -11 $
- $ -(-11) = 11 $
✔ Answer: 11

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17. $ (-z + 4)2 $

- $ z = 0.5 $
- $ -0.5 + 4 = 3.5 $
- $ 3.5 \times 2 = 7 $
✔ Answer: 7

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18. $ 2(3 + 4y) $

- $ y = -5 $
- $ 3 + 4(-5) = 3 - 20 = -17 $
- $ 2 \times (-17) = -34 $
✔ Answer: -34

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19. $ 2(4 + 3y) $

- $ y = -5 $
- $ 4 + 3(-5) = 4 - 15 = -11 $
- $ 2 \times (-11) = -22 $
✔ Answer: -22

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20. $ 5(2x + 0) $

- $ x = -2 $
- $ 2(-2) + 0 = -4 $
- $ 5 \times (-4) = -20 $
✔ Answer: -20

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21. $ 5(-2t - 6) $

- $ t = 20 $
- $ -2(20) - 6 = -40 - 6 = -46 $
- $ 5 \times (-46) = -230 $
✔ Answer: -230

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Final Answers (in order):

1. -42
2. -93
3. -128
4. 96
5. -10
6. 108
7. 110
8. 4
9. -9
10. -171
11. -690
12. 40.5
13. -135
14. 27
15. 102
16. 11
17. 7
18. -34
19. -22
20. -20
21. -230

✔ All expressions evaluated correctly using substitution and order of operations.

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