Question 1

Which of the following numbers is NOT a rational number?

Accepted Answer

$$\sqrt{6}$$

Question 2

Simplify the following expression: $$(-3) + 7 - (-2)$$

Accepted Answer

$$6$$

Question 3

Which set does the number $$\sqrt{49}$$ belong to?

Accepted Answer

The set of natural, integer, rational, and real numbers

Question 4

Evaluate the following: $$2^3$$ 	imes 5 - $$4^2$$

Accepted Answer

$$8$$

Question 5

Which of the following is the multiplicative inverse of $$-\frac{3}{4}$$?

Accepted Answer

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

Question 6

Simplify the expression: $$\frac{2}{3} + \frac{5}{6}$$

Accepted Answer

$$\frac{3}{2}$$

Question 7

Which of the following is the result of $$(-2)^4$$?

Accepted Answer

$$16$$

Question 8

A chemist mixes two solutions: one with $$-5$$ grams of salt and another with $$12$$ grams. What is the total amount of salt after mixing?

Accepted Answer

$$7$$ grams

Question 9

Simplify the following radical: $$\sqrt{50}$$

Accepted Answer

$$5\sqrt{2}$$

Question 10

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x-3)(x+3)$$

Question 11

Solve for $$x$$: $$2x + 5 = 13$$

Accepted Answer

$$x = 4$$

Question 12

Which of the following is the result of $$\frac{3}{4} \div \frac{2}{5}$$?

Accepted Answer

$$\frac{15}{8}$$

Question 13

Simplify the expression: $$(x^2y^3$)^2$$

Accepted Answer

$$x^4y^6$

Question 14

A patient’s temperature drops from $$98.6^	ext{o}F to$$ $$95.2^	ext{o}F. $$What is the change in temperature?

Accepted Answer

$$3.4^	ext{o}F$

Question 15

Which of the following is the solution to $$x^2 - 4x + 4 = 0$?

Accepted Answer

$$x = 2$$

Question 16

Simplify the following: $$\frac{2x^2$y}{4xy^2$}$$

Accepted Answer

$$\frac{x}{2y}$$

Question 17

Which of the following is the result of $$\sqrt{81x^4$}$$, assuming $$x is $$positive?

Accepted Answer

$$9x^2$$

Question 18

If $$a = -2$$ and $$b = 3$$, what is the value of $$a^2$$ + $$b^2$$?

Accepted Answer

$$13$$

Question 19

Which of the following is the result of $$(x+2)^2$$?

Accepted Answer

$$x^2 + 4x + 4$

Question 20

A biologist divides a population of $$-24$$ bacteria into $$6$$ equal groups. How many bacteria are in each group?

Accepted Answer

$$-4$$

Precalculus Foundations: Numbers, Operations, Exponents, Radicals, and Polynomials

Study Guide - Practice Questions