MAP Mathematics 5 — Questions and Answers
Question 1: Which is the factored form of x² + 5x + 6?
- (x + 1)(x + 6)
- (x + 2)(x + 3) (Correct answer)
- (x − 2)(x − 3)
- (x + 5)(x + 1)
Correct answer: (x + 2)(x + 3)
2 and 3 multiply to 6 and add to 5, so the answer is (x + 2)(x + 3).
Question 2: What is the mean of the data set 3, 7, 8, 10, 17?
- 8
- 9 (Correct answer)
- 14
- 11.25
Correct answer: 9
The sum is 45, and 45 ÷ 5 = 9.
Question 3: If f(x) = 2x² − 3, what is f(−2)?
- 13
- −11
- −5
- 5 (Correct answer)
Correct answer: 5
(−2)² = 4, so f(−2) = 2(4) − 3 = 5.
Question 4: Which equation represents a line with slope −3 and y-intercept 4?
- y = 3x + 4
- y = 4x − 3
- y = −3x + 4 (Correct answer)
- y = −3x − 4
Correct answer: y = −3x + 4
Slope-intercept form is y = mx + b, so m = −3 and b = 4 give y = −3x + 4.
Question 5: Solve the inequality −2x > 8.
- x > −4
- x < −4 (Correct answer)
- x > 4
- x < 4
Correct answer: x < −4
Dividing both sides by −2 reverses the inequality sign, giving x < −4.
Question 6: A bag has 3 red, 5 blue, and 2 green marbles. What is the probability of randomly picking a blue marble?
- 1/2 (Correct answer)
- 5/8
- 1/5
- 3/10
Correct answer: 1/2
There are 5 blue marbles out of 10 total, so the probability is 5/10 = 1/2.
Question 7: A town's population is 500 and doubles every 3 years. What will the population be after 9 years?
- 1,500
- 3,000
- 4,000 (Correct answer)
- 13,500
Correct answer: 4,000
9 years is 3 doublings, so 500 × 2³ = 4,000.
MAP Mathematics 5
Which is the factored form of x² + 5x + 6?