Master Algebra Equations: Distribute, Combine, and Solve for 11-Year-Olds / Learning Corner

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Instructions

Solve the following algebra equations by distributing, combining like terms, and solving for the variable. Show your work in the spaces provided.

1. Simplify and solve: 3(2x + 4) = 10

Distribute:
Combine like terms:
Solve for x:

Final Answer:

2. Simplify and solve: 5(x - 3) = 20

Distribute:
Combine like terms:
Solve for x:

Final Answer:

3. Simplify and solve: 4(y + 2) - 3 = 17

Distribute:
Combine like terms:
Solve for y:

Final Answer:

4. Simplify and solve: 6(a + 1) - 2(a + 3) = 12

Distribute:
Combine like terms:
Solve for a:

Final Answer:

5. Simplify and solve: 7(3x - 2) + 4 = 26

Distribute:
Combine like terms:
Solve for x:

Final Answer:

6. Simplify and solve: 8(4 - 2b) = 16

Distribute:
Combine like terms:
Solve for b:

Final Answer:

7. Simplify and solve: 9(5x + 3) - 15 = 24

Distribute:
Combine like terms:
Solve for x:

Final Answer:

8. Simplify and solve: 10(2y - 1) + 5 = 25

Distribute:
Combine like terms:
Solve for y:

Final Answer:

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