M-STEP Mathematics Concepts & Problem Solving 2 — Questions and Answers
Question 1: A store sells apples for $0.75 each and oranges for $1.25 each. If Maria buys 4 apples and 3 oranges, how much does she spend in total?
- $6.75 (Correct answer)
- $7.25
- $5.75
- $6.25
Correct answer: $6.75
4 × $0.75 = $3.00 and 3 × $1.25 = $3.75, so total = $3.00 + $3.75 = $6.75.
Question 2: Which expression is equivalent to 3(x + 4) − 2x?
- x + 12 (Correct answer)
- 5x + 4
- x + 4
- 5x + 12
Correct answer: x + 12
Distribute: 3x + 12 − 2x = x + 12.
Question 3: A rectangle has a perimeter of 54 cm. If its length is 17 cm, what is its width?
- 10 cm (Correct answer)
- 20 cm
- 12 cm
- 8 cm
Correct answer: 10 cm
Perimeter = 2(l + w), so 54 = 2(17 + w), giving w = 27 − 17 = 10 cm.
Question 4: On a number line, which value is closest to −3.7?
- −4 (Correct answer)
- −3
- −3.5
- −4.5
Correct answer: −4
−3.7 is 0.3 away from −4 and 0.7 away from −3, so −4 is closest.
Question 5: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly drawing a blue marble?
- 3/10 (Correct answer)
- 3/7
- 1/3
- 3/5
Correct answer: 3/10
There are 3 blue out of 5 + 3 + 2 = 10 total marbles, so P(blue) = 3/10.
Question 6: The table shows x: 1, 2, 3, 4 and y: 5, 8, 11, 14. Which equation represents this relationship?
- y = 3x + 2 (Correct answer)
- y = 2x + 3
- y = 4x + 1
- y = 3x − 2
Correct answer: y = 3x + 2
The y-values increase by 3 for each increase of 1 in x, and when x = 1, y = 5 = 3(1) + 2.
Question 7: A cylindrical can has a radius of 4 cm and a height of 10 cm. What is the approximate volume? (Use π ≈ 3.14)
- 502.4 cm³ (Correct answer)
- 251.2 cm³
- 640 cm³
- 125.6 cm³
Correct answer: 502.4 cm³
V = πr²h = 3.14 × 16 × 10 = 502.4 cm³.
M-STEP Mathematics Concepts & Problem Solving 2
A store sells apples for $0.75 each and oranges for $1.25 each.
If Maria buys 4 apples and 3 oranges, how much does she spend in total?