Algebra worksheet testing true or false for given variable values.

Let’s go through each problem one by one. We’re checking whether the given value of the variable makes the equation true.

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1. y + 5 = 17, y = 22

Plug in y = 22:
22 + 5 = 27 → but we need 17.
27 ≠ 17 → False

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2. 4x = 24, x = 6

Plug in x = 6:
4 × 6 = 24 → matches!
→ True

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3. n ÷ 7 = 3, n = 21

Plug in n = 21:
21 ÷ 7 = 3 → matches!
→ True

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4. s – 13 = 21, s = 34

Plug in s = 34:
34 – 13 = 21 → matches!
→ True

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5. 20 × y = 300, y = 160

Plug in y = 160:
20 × 160 = 3200 → way bigger than 300.
3200 ≠ 300 → False

*(Actually, correct y would be 300 ÷ 20 = 15)*

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6. n + 40 = 92, n = 50

Plug in n = 50:
50 + 40 = 90 → but we need 92.
90 ≠ 92 → False

*(Correct n would be 92 – 40 = 52)*

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7. 27 = 3m, m = 9

Plug in m = 9:
3 × 9 = 27 → matches!
→ True

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8. 7 + t = 21, t = 11

Plug in t = 11:
7 + 11 = 18 → but we need 21.
18 ≠ 21 → False

*(Correct t would be 21 – 7 = 14)*

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9. x – 8 = 24, x = 32

Plug in x = 32:
32 – 8 = 24 → matches!
→ True

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10. n + 24 = 61, m = 45

Wait — this is tricky. The equation uses n, but they give a value for m.
That means we can’t even check it properly — unless it’s a typo.

But as written:
Equation: n + 24 = 61 → so n should be 61 – 24 = 37
But they say m = 45 — which is not related to n.

So if we assume they meant “n = 45”, then:
45 + 24 = 69 ≠ 61 → False
If they really meant m, then it’s irrelevant → still doesn’t make the equation true.

Either way → False

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✔ Final Answers:

1. False
2. True
3. True
4. True
5. False
6. False
7. True
8. False
9. True
10. False

Final Answer:
False, True, True, True, False, False, True, False, True, False