Pre-Algebra Practice Test: Integers
- Integers
- 10 questions
- 12 minutes
This test covers operations with positive and negative integers, absolute value and comparing integers. Tip: subtracting a negative number is the same as adding its opposite, so 7 − (−4) = 7 + 4.
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
What is −8 + 5?
Correct answer: B
Signs differ, so subtract the absolute values (8 − 5 = 3) and keep the sign of the number with the larger absolute value, which is −8. The result is −3.
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Question 2
What is 7 − (−4)?
Correct answer: A
Subtracting −4 means adding 4: 7 + 4 = 11. The answer 3 comes from treating the problem as 7 − 4.
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Question 3
What is (−6) × (−7)?
Correct answer: D
The product of two negative numbers is positive, so (−6) × (−7) = 42. Adding instead of multiplying gives −13.
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Question 4
What is −48 ÷ 6?
Correct answer: C
A negative number divided by a positive number is negative: 48 ÷ 6 = 8, so the quotient is −8.
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Question 5
At 6 a.m. the temperature in a town was −5°F. By noon it had risen 12 degrees. What was the temperature at noon?
Correct answer: A
A rise means adding: −5 + 12 = 7. The answer −17°F would mean the temperature dropped 12 degrees.
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Question 6
Which list is ordered from least to greatest?
Correct answer: C
On a number line −9 is farthest to the left, then −4, 0 and 3. A negative number with a larger absolute value is smaller, so −9 < −4.
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Question 7
What is |−15| − |6|?
Correct answer: B
Absolute value is distance from zero, so |−15| = 15 and |6| = 6. Then 15 − 6 = 9.
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Question 8
A submarine is at −120 feet. It rises 45 feet and then dives 30 feet. What is its new position?
Correct answer: D
Rising adds and diving subtracts: −120 + 45 − 30 = −105. Choosing −135 feet reverses the two moves.
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Question 9
What is (−2) × (−3) × (−5)?
Correct answer: C
Three negative factors give a negative product: (−2)(−3) = 6 and 6 × (−5) = −30.
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Question 10
Which expression has a positive value?
Correct answer: A
Two negative factors give a positive product: (−4)(−2) = 8. The others equal −11, −5 and −4.
Questions you leave blank are not counted as wrong.
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