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Math worksheet with algebra equations and a spider illustration.

A math worksheet titled "Equations" with a spider illustration, featuring 7 algebraic problems to solve for variables x and y.

A math worksheet titled "Equations" with a spider illustration, featuring 7 algebraic problems to solve for variables x and y.

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Show Answer Key & Explanations Step-by-step solution for: Algebra Equations (set 1) Worksheet
Let’s solve each equation step by step. We’re looking for the value of x or y that makes each equation true.

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1.
x + 3 = 13 → Subtract 3 from both sides: x = 13 - 3 = 10
y + 10 = 20 → Subtract 10 from both sides: y = 20 - 10 = 10

2.
6 + y = 16 → Subtract 6 from both sides: y = 16 - 6 = 10
2 + x = 6 → Subtract 2 from both sides: x = 6 - 2 = 4

3.
x + 8 = 9 → Subtract 8 from both sides: x = 9 - 8 = 1
y + 4 = 5 → Subtract 4 from both sides: y = 5 - 4 = 1

4.
3 + y = 13 → Subtract 3 from both sides: y = 13 - 3 = 10
5 + x = 14 → Subtract 5 from both sides: x = 14 - 5 = 9

5.
x + 3 = 9 → Subtract 3 from both sides: x = 9 - 3 = 6
y + 0 = 6 → Adding zero doesn’t change anything, so y = 6

6.
0 + y = 3 → So y = 3
1 + x = 6 → Subtract 1 from both sides: x = 6 - 1 = 5

7.
x + 5 = 12 → Subtract 5 from both sides: x = 12 - 5 = 7
y + 10 = 12 → Subtract 10 from both sides: y = 12 - 10 = 2

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Final Answer:
1. x = 10, y = 10
2. y = 10, x = 4
3. x = 1, y = 1
4. y = 10, x = 9
5. x = 6, y = 6
6. y = 3, x = 5
7. x = 7, y = 2
Parent Tip: Review the logic above to help your child master the concept of 6th grade math equations worksheet.
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