Let’s solve each problem step by step.
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Given values:
x = 3
y = 5
z = -2
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Problem 1: 6x + 2y
Substitute x and y:
6*(3) + 2*(5) = 18 + 10 =
28
✔ Check: 6*3=18, 2*5=10 → 18+10=28 ✔️
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Problem 2: 3(5 + y)
Substitute y = 5:
3*(5 + 5) = 3*10 =
30
✔ Check: 5+5=10 → 3*10=30 ✔️
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Problem 3: (x + y)²
Substitute x=3, y=5:
(3 + 5)² = 8² =
64
✔ Check: 3+5=8 → 8*8=64 ✔️
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Problem 4: (x - z) + y
Substitute x=3, z=-2, y=5:
(3 - (-2)) + 5 = (3 + 2) + 5 = 5 + 5 =
10
✔ Check: minus negative is plus → 3+2=5 → 5+5=10 ✔️
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Problem 5: x - 11 = 21
Add 11 to both sides:
x = 21 + 11 =
32
✔ Check: 32 - 11 = 21 ✔️
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Problem 6: x + 12 = 46
Subtract 12 from both sides:
x = 46 - 12 =
34
✔ Check: 34 + 12 = 46 ✔️
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Problem 7: 18 - x = 9
Subtract 18 from both sides:
-x = 9 - 18 = -9
Multiply both sides by -1:
x =
9
✔ Check: 18 - 9 = 9 ✔️
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Problem 8: x + 1.4 = 5.7
Subtract 1.4 from both sides:
x = 5.7 - 1.4 =
4.3
✔ Check: 4.3 + 1.4 = 5.7 ✔️
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Problem 9: x + 3 = 2(5 - 3)
First simplify right side:
2*(5 - 3) = 2*2 = 4
So: x + 3 = 4
Subtract 3 from both sides:
x = 4 - 3 =
1
✔ Check: 1 + 3 = 4, and 2*(5-3)=4 ✔️
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Problem 10: 13 - (-x) = 37
Simplify left side:
13 + x = 37
Subtract 13 from both sides:
x = 37 - 13 =
24
✔ Check: 13 - (-24) = 13 + 24 = 37 ✔️
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Final Answers:
1. 28
2. 30
3. 64
4. 10
5. 32
6. 34
7. 9
8. 4.3
9. 1
10. 24
Parent Tip: Review the logic above to help your child master the concept of algebra basics worksheet.
