MPT Pre-Algebra 2 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 8 and 12?
- 16
- 24 (Correct answer)
- 48
- 96
Correct answer: 24
The LCM of 8 and 12 is 24, since 24 is the smallest number divisible by both 8 and 12.
Question 2: Simplify: −3 × (−4) + (−2)
- −14
- 10 (Correct answer)
- 14
- −10
Correct answer: 10
−3 × (−4) = 12, then 12 + (−2) = 10.
Question 3: Which of the following is an irrational number?
- 0.75
- √9
- √7 (Correct answer)
- 3/4
Correct answer: √7
√7 cannot be expressed as a fraction and its decimal is non-terminating and non-repeating, making it irrational.
Question 4: A store marks up an item by 25%. If the original price is $80, what is the selling price?
- $95
- $100 (Correct answer)
- $105
- $110
Correct answer: $100
25% of $80 is $20, so the selling price is $80 + $20 = $100.
Question 5: Convert 0.375 to a fraction in lowest terms.
- 3/8 (Correct answer)
- 3/7
- 4/9
- 1/3
Correct answer: 3/8
0.375 = 375/1000, which reduces to 3/8 by dividing numerator and denominator by 125.
Question 6: If x = −2, what is the value of x² − 3x + 1?
- 11 (Correct answer)
- −9
- 3
- 9
Correct answer: 11
(−2)² − 3(−2) + 1 = 4 + 6 + 1 = 11.
Question 7: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The factors of 36 include 1, 2, 3, 4, 6, 9, 12, 18, 36 and the factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; the greatest common factor is 12.
MPT Pre-Algebra 2
What is the least common multiple (LCM) of 8 and 12?