Algebra Review Worksheet with 16 Multiple-Choice Questions on Solving Linear Equations

Let’s solve each problem step by step.

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Problem 1: 3x - 4 = x + 10

Step 1: Get all the x terms on one side. Subtract x from both sides:
→ 3x - x - 4 = 10
→ 2x - 4 = 10

Step 2: Get rid of the -4 by adding 4 to both sides:
→ 2x = 14

Step 3: Divide both sides by 2:
→ x = 7

✔ Final Answer for #1: D) x = 7

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Problem 2: x - 2 = 2x + 1

Step 1: Move x terms to one side. Subtract x from both sides:
→ -2 = x + 1

Step 2: Subtract 1 from both sides:
→ -3 = x

✔ Final Answer for #2: B) x = -3

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Problem 3: x + 7 = 2x + 2

Step 1: Subtract x from both sides:
→ 7 = x + 2

Step 2: Subtract 2 from both sides:
→ 5 = x

✔ Final Answer for #3: B) x = 5

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Problem 4: 5x + 1 = x + 9

Step 1: Subtract x from both sides:
→ 4x + 1 = 9

Step 2: Subtract 1 from both sides:
→ 4x = 8

Step 3: Divide by 4:
→ x = 2

✔ Final Answer for #4: C) x = 2

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Problem 5: x + 7 = 3x + 3

Step 1: Subtract x from both sides:
→ 7 = 2x + 3

Step 2: Subtract 3 from both sides:
→ 4 = 2x

Step 3: Divide by 2:
→ x = 2

✔ Final Answer for #5: D) x = 2

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Problem 6: Solve for x: 6(2x + 1) = 18

Step 1: Distribute the 6:
→ 12x + 6 = 18

Step 2: Subtract 6 from both sides:
→ 12x = 12

Step 3: Divide by 12:
→ x = 1

✔ Final Answer for #6: A) 1

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Final Answer:
1. D
2. B
3. B
4. C
5. D
6. A