M-STEP Mathematics Concepts & Problem Solving 3

Question 1

Which of the following is a rational number?

Accepted Answer

√9

Answer

√9 = 3, which is a whole number and therefore rational; the others are irrational.

Question 2

Solve for y: 4y − 7 = 21

Accepted Answer

7

Answer

Add 7 to both sides: 4y = 28, then divide by 4: y = 7.

Question 3

A triangle has angles measuring 45° and 65°. What is the measure of the third angle?

Accepted Answer

70°

Answer

The angles of a triangle sum to 180°, so 180 − 45 − 65 = 70°.

Question 4

Which number is NOT a factor of 72?

Accepted Answer

16

Answer

72 ÷ 16 = 4.5, which is not a whole number, so 16 is not a factor of 72.

Question 5

A scale drawing uses 1 inch to represent 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

Accepted Answer

175 miles

Answer

3.5 × 50 = 175 miles.

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