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

Explanation:
We need to evaluate each algebraic expression by plugging in the given value for the variable and simplifying.

Let’s go section by section.

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1. For x = 4

- $ x + 16 = 4 + 16 = 20 $
- $ 2x - 20 = 2(4) - 20 = 8 - 20 = -12 $
- $ 10 + x^2 = 10 + (4)^2 = 10 + 16 = 26 $
- $ -x - 12 = -4 - 12 = -16 $
- $ x - 2x = 4 - 2(4) = 4 - 8 = -4 $
- $ x^3 - 20 = (4)^3 - 20 = 64 - 20 = 44 $

✔ Double-check:
- $ x^3 = 4 × 4 × 4 = 64 $ → correct.
- $ x - 2x = -x = -4 $ → matches.

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2. For h = 3

- $ 3h + 9 = 3(3) + 9 = 9 + 9 = 18 $
- $ 19 + h^2 = 19 + (3)^2 = 19 + 9 = 28 $
- $ h + 14 = 3 + 14 = 17 $
- $ -2h + 14 = -2(3) + 14 = -6 + 14 = 8 $
- $ 2h + 15 = 2(3) + 15 = 6 + 15 = 21 $
- $ h^0 + 12 $: Any nonzero number to the 0 power is 1 → $ 1 + 12 = 13 $

✔ Check: $ h^0 = 1 $, yes — rule holds for $ h = 3 \ne 0 $.

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3. For y = 10

- $ 4y - 8 = 4(10) - 8 = 40 - 8 = 32 $
- $ 22 - y^2 = 22 - (10)^2 = 22 - 100 = -78 $
- $ y + 10 = 10 + 10 = 20 $
- $ -y + 25 = -10 + 25 = 15 $
- $ y - 15 = 10 - 15 = -5 $
- $ y^2 - 12 = 100 - 12 = 88 $

✔ All straightforward.

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4. For t = -5

- $ 2t + 6 = 2(-5) + 6 = -10 + 6 = -4 $
- $ 22 + t^2 = 22 + (-5)^2 = 22 + 25 = 47 $
- $ t - 10 = -5 - 10 = -15 $
- $ -4t + 18 = -4(-5) + 18 = 20 + 18 = 38 $
- $ 2t - 10 = 2(-5) - 10 = -10 - 10 = -20 $
- $ t^3 + 75 = (-5)^3 + 75 = -125 + 75 = -50 $

✔ Check $ t^3 = (-5)(-5)(-5) = 25 × (-5) = -125 $ → correct.

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5. For v = 0.5

Recall: $ 0.5 = \frac{1}{2} $, and $ v^0 = 1 $ (since $ v \ne 0 $).

- $ v^1 + 4 = 0.5 + 4 = 4.5 $
- $ 3v + 6 = 3(0.5) + 6 = 1.5 + 6 = 7.5 $
- $ 12 + v^0 = 12 + 1 = 13 $
- $ v + 17 = 0.5 + 17 = 17.5 $
- $ -2v + 10 = -2(0.5) + 10 = -1 + 10 = 9 $
- $ v + 5 = 0.5 + 5 = 5.5 $

✔ All decimals are correct.

Now let’s list all answers in order as they appear on the worksheet:

Row 1 (x=4):
20, −12, 26
−16, −4, 44

Row 2 (h=3):
18, 28, 17
8, 21, 13

Row 3 (y=10):
32, −78, 20
15, −5, 88

Row 4 (t=−5):
−4, 47, −15
38, −20, −50

Row 5 (v=0.5):
4.5, 7.5, 13
17.5, 9, 5.5

Final Answer:
20, −12, 26, −16, −4, 44, 18, 28, 17, 8, 21, 13, 32, −78, 20, 15, −5, 88, −4, 47, −15, 38, −20, −50, 4.5, 7.5, 13, 17.5, 9, 5.5