Q: What is the prime factorization of $$84$$?

$$2 \times 2 \times 3 \times 7$$

Question 1

Which of the following numbers is a prime number?

Accepted Answer

$$17$$

Question 2

What is the prime factorization of $$84$$?

Accepted Answer

$$2 	imes 2 	imes 3 	imes 7$$

Question 3

Find the least common multiple (LCM) of $$18$$ and $$24.$$

Accepted Answer

$$72$$

Question 4

Which of the following fractions is equivalent to $$\frac{3}{4}$$?

Accepted Answer

$$\frac{6}{8}$$

Question 5

Write $$\frac{45}{60} in $$lowest terms.

Accepted Answer

$$\frac{3}{4}$$

Question 6

What is the least common denominator (LCD) for the fractions $$\frac{5}{12}$$ and $$\frac{7}{18}$$?

Accepted Answer

$$72$$

Question 7

Evaluate the absolute value: $$|-13|$$

Accepted Answer

$$13$$

Question 8

Compute: $$(-8) + 15$$

Accepted Answer

$$7$$

Question 9

What is the result of $$(-6) 	imes (-5) 	imes 2$$?

Accepted Answer

$$60$$

Question 10

Find the additive inverse of $$-17.$$

Accepted Answer

$$17$$

Question 11

What is the quotient $$-48 \div 6$$?

Accepted Answer

$$-8$$

Question 12

Which of the following is the reciprocal of $$-5$$?

Accepted Answer

$$-\frac{1}{5}$$

Question 13

Evaluate the principal square root: $$\sqrt{49}$$

Accepted Answer

$$7$$

Question 14

Which of the following is NOT a real number?

Accepted Answer

$$\sqrt{-25}$$

Question 15

Find the cube root: $$\sqrt[3]{-64}$$

Accepted Answer

$$-4$$

Question 16

Simplify the radical expression: $$\sqrt{75}$$

Accepted Answer

$$5\sqrt{3}$$

Question 17

Express $$64^{1/2} as a $$radical and evaluate.

Accepted Answer

$$\sqrt{64} = 8$$

Question 18

A chemist needs to mix two solutions, one with $$\frac{2}{5}$$ liters and another with $$\frac{3}{10}$$ liters. What is the least common denominator to add these volumes?

Accepted Answer

$$20$$

Question 19

A nurse divides a $$-36 mg $$dose of medicine equally among $$-6$$ patients. What is the dose per patient?

Accepted Answer

$$6 mg$

Question 20

Simplify $$\sqrt{48}$$ using the product property of radicals.

Accepted Answer

$$4\sqrt{3}$$

Precalculus Review: Real Numbers, Prime Factorization, LCM, and Fractions

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