$$ 7 + 2 \times 2^2$ = 7 + 2 \times 4 = 7 + 8 = 15 $$

Question 1

Which of the following is the correct value for the expression $$ 3 + 6 	imes 2^2$ - 4 $$?

Accepted Answer

$$ 17 $$

Question 2

What is the result of $$ (8 - 3) \div 5 + 2 	imes 4 $$?

Accepted Answer

$$ 9 $$

Question 3

A pharmacist needs to divide 120 mg of medication equally into 8 capsules. How many mg will each capsule contain?

Accepted Answer

$$ 15 $$

Question 4

Simplify the expression $$ 5 	imes (2 + 3^2$) - 7 .$$

Accepted Answer

$$ 38 $$

Question 5

Which of the following is a real number?

Accepted Answer

$$ \frac{7}{2} $$

Question 6

Evaluate $$ 12 - 4 	imes 2 + 6 \div 3 .$$

Accepted Answer

$$ 8 $$

Question 7

A recipe calls for $$ 2 \frac{1}{2} $$ cups of flour. If you want to make half the recipe, how many cups of flour do you need?

Accepted Answer

$$ 1 \frac{1}{4} $$

Question 8

Which of the following correctly applies the order of operations to $$ 7 + 2 	imes (5 - 3)^2$ $$?

Accepted Answer

$$ 7 + 2 	imes 2^2$ = 7 + 2 	imes 4 = 7 + 8 = 15 $$

Question 9

If $$ x = 4 $$ and $$ y = 3 $$, what is the value of $$ 2x^2$ - 3y $$?

Accepted Answer

$$ 25 $$

Question 10

A patient is prescribed 3 doses of medicine per day for 7 days. If each dose is 250 mg, what is the total amount of medicine the patient will take?

Accepted Answer

$$ 5250  mg$$

Question 11

Simplify $$ 18 \div 3 	imes 2 + 5 .$$

Accepted Answer

$$ 17 $$

Question 12

Which of the following is the correct value for $$ 4^2$ - 3 	imes 2 + 1 $$?

Accepted Answer

$$ 11 $$

Question 13

A store is having a sale: buy 3 shirts for $$15 each and get a 10 $$discount on the total. What is the final price?

Accepted Answer

$$ 40 $$

Question 14

Which of the following is NOT a real number?

Accepted Answer

$$ \sqrt{-9} $$

Question 15

Evaluate $$ 2 	imes [3 + (4 - 1)^2$] .$$

Accepted Answer

$$ 24 $$

Real Numbers and Order of Operations: Foundations for Algebra

Study Guide - Practice Questions