$$2 \times 2 \times 2 \times 5$$

$$\dfrac{a}{b} \times \dfrac{d}{c}$$

Question 1

Which of the following numbers is a prime number?

Accepted Answer

$$13$$

Question 2

What is the prime factorization of $$40$$?

Accepted Answer

$$2 	imes 2 	imes 2 	imes 5$$

Question 3

Which of the following statements is TRUE?

Accepted Answer

$$4 is a $$composite number.

Question 4

Multiply the fractions: $$\dfrac{3}{4} 	imes \dfrac{1}{9}$$

Accepted Answer

$$\dfrac{1}{12}$$

Question 5

Divide the fractions: $$\dfrac{1}{4} \div \dfrac{2}{3}$$

Accepted Answer

$$\dfrac{3}{8}$$

Question 6

Which pair of numbers are reciprocals?

Accepted Answer

$$\dfrac{3}{4}$$ and $$\dfrac{4}{3}$$

Question 7

Add the fractions: $$\dfrac{2}{9} + \dfrac{3}{9}$$

Accepted Answer

$$\dfrac{5}{9}$$

Question 8

Subtract the fractions: $$\dfrac{7}{22} - \dfrac{3}{11}$$

Accepted Answer

$$-\dfrac{5}{22}$$

Question 9

Which of the following is the correct way to multiply $$\dfrac{a}{b} 	imes \dfrac{c}{d}$$?

Accepted Answer

$$\dfrac{ac}{bd}$$

Question 10

A recipe calls for $$\dfrac{2}{3}$$ cup of sugar. If you want to make half the recipe, how much sugar do you need?

Accepted Answer

$$\dfrac{1}{3}$$ cup

Question 11

Simplify: $$\dfrac{9}{8} - \dfrac{4}{5}$$

Accepted Answer

$$\dfrac{13}{40}$$

Question 12

Which of the following is a composite number?

Accepted Answer

$$16$$

Question 13

What is the sum of $$\dfrac{5}{6} + \dfrac{7}{12}$$?

Accepted Answer

$$\dfrac{19}{12}$$

Question 14

Which of the following is the correct way to divide $$\dfrac{a}{b} \div \dfrac{c}{d}$$?

Accepted Answer

$$\dfrac{a}{b} 	imes \dfrac{d}{c}$$

Question 15

A medication requires a patient to take $$\dfrac{2}{5} of a $$tablet, three times a day. How many tablets does the patient take in one day?

Accepted Answer

$$\dfrac{6}{5}$$ tablets

Question 16

Simplify: $$\dfrac{12}{31} - \dfrac{1}{31}$$

Accepted Answer

$$\dfrac{11}{31}$$

Question 17

Which of the following is the correct prime factorization of $$18$$?

Accepted Answer

$$2 	imes 3 	imes 3$$

Question 18

If $$\dfrac{a}{b} + \dfrac{c}{d}$$, and $$b 
eq d$$, what is the first step to add these fractions?

Accepted Answer

Find a common denominator.

Question 19

A chemist mixes $$\dfrac{5}{8}$$ liter of solution A with $$\dfrac{1}{4}$$ liter of solution B. What is the total volume?

Accepted Answer

$$\dfrac{7}{8}$$ liters

Question 20

Which of the following numbers is neither prime nor composite?

Accepted Answer

$$1$$

Elementary Algebra: Fraction Notation and Operations

Study Guide - Practice Questions