M-STEP Mathematics Concepts & Problem Solving

Question 1

What is the value of 3x when x = 4?

Accepted Answer

12

Answer

To find the value of an algebraic expression, substitute the given value for the variable. In this case, replace 'x' with '4' in the expression '3x'. This means calculating 3 multiplied by 4, which equals 12.

Question 2

Which operation should be done first in the expression 5 + 3 × 2?

Accepted Answer

3 × 2

Answer

According to the order of operations, often remembered by the acronym PEMDAS/BODMAS, multiplication and division should be performed before addition and subtraction. In the expression 5 + 3 × 2, the multiplication (3 × 2) must be calculated first, resulting in 6, before adding it to 5.

Question 3

If a rectangle has a length of 8 units and a width of 3 units, what is its area?

Accepted Answer

24

Answer

The area of a rectangle is calculated by multiplying its length by its width. For a rectangle with a length of 8 units and a width of 3 units, the area is 8 units × 3 units, which equals 24 square units.

Question 4

Which number is a multiple of both 3 and 5?

Accepted Answer

15

Answer

A multiple of a number is the result of multiplying that number by an integer. To be a multiple of both 3 and 5, a number must be divisible by both. The number 15 is a multiple of 3 (3 × 5 = 15) and a multiple of 5 (5 × 3 = 15), making it the correct answer.

Question 5

What is the perimeter of a square with sides of 5 units?

Accepted Answer

20

Answer

The perimeter of a square is the total length of all its sides. Since a square has four equal sides, you can find the perimeter by multiplying the length of one side by four. For a square with sides of 5 units, the perimeter is 5 units × 4, which equals 20 units.

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

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

M-STEP Mathematics Concepts & Problem Solving