M-STEP Mathematics Concepts & Problem Solving 5

Question 1

A car travels 240 miles on 8 gallons of gas. How many miles can it travel on 11 gallons?

Accepted Answer

330 miles

Answer

Rate = 240 ÷ 8 = 30 mpg; 30 × 11 = 330 miles.

Question 2

Which of the following best describes the graph of y = −2x + 1?

Accepted Answer

A line with slope −2 and y-intercept 1

Answer

In slope-intercept form y = mx + b, m = −2 is the slope and b = 1 is the y-intercept.

Question 3

Simplify: (3x²)(4x³)

Accepted Answer

12x⁵

Answer

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?

Accepted Answer

9

Answer

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?

Accepted Answer

48 cm

Answer

Side = √144 = 12 cm; perimeter = 4 × 12 = 48 cm.

(M-STEP) Michigan Student Test of Educational Progress Practice Test