Pre-Algebra Final Practice Test: Mixed Review
- Final Practice Test
- 10 questions
- 15 minutes
This mixed test reviews the whole pre-algebra course, one question from each main topic. Tip: if you miss a question, the topic tests in this category let you practice that skill in more depth.
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.
Your result
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Question 1
What is −7 − (−12) + 3?
Correct answer: A
Subtracting −12 means adding 12: −7 + 12 + 3 = 8. The answer −16 treats −(−12) as −12.
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Question 2
What is 6 + 18 ÷ 32?
Correct answer: C
Exponent first: 3² = 9. Then divide: 18 ÷ 9 = 2. Finally add: 6 + 2 = 8. The answer 9 reads 3² as 6.
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Question 3
What is 1 12 × 23?
Correct answer: D
Write 1 1/2 as 3/2: 3/2 × 2/3 = 6/6 = 1. Multiplying only the fraction part gives 1/3.
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Question 4
A restaurant bill is $42. Mia leaves a 15% tip. How much is the tip?
Correct answer: B
15% of 42 = 0.15 × 42 = $6.30. The value $48.30 is the bill plus the tip, not the tip alone.
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Question 5
Solve for x: 7x = 2112
Correct answer: A
Cross-multiply: 21x = 7 × 12 = 84, so x = 4. Check: 7/4 = 21/12, since both equal 1.75.
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Question 6
Simplify: 5(x + 2) − 3x
Correct answer: D
Distribute: 5x + 10 − 3x = 2x + 10. The answer 2x + 2 forgets to multiply the 2 by 5.
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Question 7
Solve: 4x + 7 = −13
Correct answer: C
Subtract 7: 4x = −20. Divide by 4: x = −5. Adding 7 instead gives 4x = −6.
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Question 8
Solve: 3 − 2x > 9
Correct answer: B
Subtract 3: −2x > 6. Divide by −2 and reverse the sign: x < −3.
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Question 9
The point (−5, −2) is reflected across the y-axis. What are the coordinates of the image?
Correct answer: C
A reflection across the y-axis changes the sign of x and keeps y. The answer (−5, 2) is a reflection across the x-axis.
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Question 10
A cube has edges 3 cm long. What is its volume?
Correct answer: A
Volume of a cube = edge³ = 3 × 3 × 3 = 27 cm³. The value 9 cm² is the area of one face, and 54 cm² is the surface area.
Questions you leave blank are not counted as wrong.
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