M-STEP Mathematics Concepts & Problem Solving 5 — Questions and Answers
Question 1: A car travels 240 miles on 8 gallons of gas. How many miles can it travel on 11 gallons?
- 330 miles (Correct answer)
- 300 miles
- 352 miles
- 264 miles
Correct answer: 330 miles
Rate = 240 ÷ 8 = 30 mpg; 30 × 11 = 330 miles.
Question 2: Which of the following best describes the graph of y = −2x + 1?
- A line with slope −2 and y-intercept 1 (Correct answer)
- A line with slope 2 and y-intercept −1
- A line with slope 1 and y-intercept −2
- A parabola opening downward
Correct answer: A line with slope −2 and y-intercept 1
In slope-intercept form y = mx + b, m = −2 is the slope and b = 1 is the y-intercept.
Question 3: Simplify: (3x²)(4x³)
- 12x⁵ (Correct answer)
- 7x⁵
- 12x⁶
- 7x⁶
Correct answer: 12x⁵
Multiply coefficients (3 × 4 = 12) and add exponents (2 + 3 = 5) to get 12x⁵.
Question 4: A box contains 24 cookies. If 3/8 of the cookies are chocolate chip, how many chocolate chip cookies are in the box?
- 9 (Correct answer)
- 8
- 12
- 6
Correct answer: 9
3/8 × 24 = 72/8 = 9 chocolate chip cookies.
Question 5: The area of a square is 144 cm². What is the perimeter of the square?
- 48 cm (Correct answer)
- 36 cm
- 56 cm
- 24 cm
Correct answer: 48 cm
Side = √144 = 12 cm; perimeter = 4 × 12 = 48 cm.
Question 6: Which of the following is equivalent to 0.035?
- 35/1000 (Correct answer)
- 35/100
- 3.5/100
- 350/1000
Correct answer: 35/1000
0.035 means 35 thousandths, which is written as 35/1000.
Question 7: A survey of 200 students found that 60% prefer math over science. How many students prefer math?
- 120 (Correct answer)
- 100
- 60
- 140
Correct answer: 120
60% of 200 = 0.60 × 200 = 120 students.
M-STEP Mathematics Concepts & Problem Solving 5
A car travels 240 miles on 8 gallons of gas.
How many miles can it travel on 11 gallons?