Accuplacer College Placement ACCUPLACER Quantitative Reasoning, Algebra, and Statistics Test 1 — Questions and Answers
Question 1: A store sells a jacket for $120 after applying a 20% discount. What was the original price?
- $140
- $144
- $150 (Correct answer)
- $160
Correct answer: $150
If $120 is 80% of the original price, divide $120 by 0.80 to get $150.
Question 2: Which of the following is equivalent to the expression 3x² − 12x?
- 3x(x − 4)
- 3(x² − 4x)
- 3x(x + 4)
- Both A and B (Correct answer)
Correct answer: Both A and B
Factor out 3x to get 3x(x − 4), which equals 3(x² − 4x), so both A and B are correct.
Question 3: A data set has values 4, 7, 7, 9, 13. What is the median?
- 7 (Correct answer)
- 8
- 9
- 7.5
Correct answer: 7
When values are arranged in order, the middle value of five numbers is the third one, which is 7.
Question 4: If y = 2x + 5 and x = −3, what is y?
- −1 (Correct answer)
- 1
- −11
- 11
Correct answer: −1
Substitute x = −3: y = 2(−3) + 5 = −6 + 5 = −1.
Question 5: A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of randomly selecting a blue marble?
- 1/2 (Correct answer)
- 1/5
- 3/10
- 2/5
Correct answer: 1/2
There are 5 blue marbles out of 10 total, giving a probability of 5/10 = 1/2.
Question 6: What is the value of 4³ ÷ 2²?
- 8
- 16 (Correct answer)
- 32
- 4
Correct answer: 16
4³ = 64 and 2² = 4, so 64 ÷ 4 = 16.
Accuplacer College Placement ACCUPLACER Quantitative Reasoning, Algebra, and Statistics Test 1
A store sells a jacket for $120 after applying a 20% discount.
What was the original price?