Pre-Algebra Practice Test: One- and Two-Step Equations
- One- and Two-Step Equations
- 10 questions
- 13 minutes
This test covers solving one-step and two-step linear equations and writing equations from word problems. Tip: undo operations in reverse order, adding or subtracting first, then multiplying or dividing.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Solve: x + 9 = 4
Correct answer: A
Subtract 9 from both sides: x = 4 − 9 = −5. Adding 9 instead gives 13.
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Question 2
Solve: n6 = 7
Correct answer: C
Multiply both sides by 6: n = 42. Check: 42 ÷ 6 = 7.
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Question 3
Solve: 3x − 5 = 16
Correct answer: B
Add 5 to both sides: 3x = 21. Divide by 3: x = 7. Subtracting 5 instead of adding gives 3x = 11.
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Question 4
Solve: −4y = 28
Correct answer: D
Divide both sides by −4: y = 28 ÷ (−4) = −7. Losing the sign gives 7.
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Question 5
Solve: x3 + 2 = 10
Correct answer: C
Subtract 2 first: x/3 = 8. Then multiply by 3: x = 24. The answer 36 adds 2 instead of subtracting it.
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Question 6
Solve: 5 − 2x = 17
Correct answer: A
Subtract 5: −2x = 12. Divide by −2: x = −6. Check: 5 − 2(−6) = 5 + 12 = 17.
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Question 7
Ana buys movie tickets for $9 each and pays a one-time $3 booking fee. She spends $48 in total. How many tickets does she buy?
Correct answer: D
Write 9t + 3 = 48. Subtract 3: 9t = 45, so t = 5 tickets.
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Question 8
Which equation has the solution x = 4?
Correct answer: B
Substitute 4: 2(4) + 3 = 11, which is true. The others give 10, 7 and 16 on the left side.
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Question 9
Solve: 0.5x − 1.5 = 2
Correct answer: A
Add 1.5: 0.5x = 3.5. Divide by 0.5 (or multiply by 2): x = 7. Stopping at 3.5 forgets the last step.
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Question 10
The perimeter of a square is 52 cm. Which value is the length of one side?
Correct answer: C
A square has 4 equal sides, so 4s = 52 and s = 13 cm. The answer 208 multiplies by 4 instead of dividing.
Questions you leave blank are not counted as wrong.
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