M-STEP Mathematics Concepts & Problem Solving 2

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?

Accepted Answer

$6.75

Answer

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?

Accepted Answer

x + 12

Answer

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?

Accepted Answer

10 cm

Answer

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?

Accepted Answer

−4

Answer

−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?

Accepted Answer

3/10

Answer

There are 3 blue out of 5 + 3 + 2 = 10 total marbles, so P(blue) = 3/10.

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