Question 1

Which of the following sets is an example of a finite set?

Accepted Answer

$$A = \{2, 4, 6, 8, 10\}$$

Question 2

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{2}$$

Question 3

Which of the following numbers is NOT an integer?

Accepted Answer

$$2.5$$

Question 4

Which property is illustrated by the equation $$a(b + c) = ab + ac$$?

Accepted Answer

Distributive Property

Question 5

Simplify the expression $$(2 + 1) 	imes 2 - 8 \div 2 	imes 3^2$ + 2^2$ using the order of operations.

Accepted Answer

$$17$$

Question 6

Which of the following numbers is both a whole number and a natural number?

Accepted Answer

$$5$$

Question 7

Which of the following is the correct classification for $$\pi$$?

Accepted Answer

Irrational number

Question 8

Convert the repeating decimal $$0.272727\ldots to a $$fraction.

Accepted Answer

$$\frac{27}{99}$$

Question 9

Which of the following is the additive identity property?

Accepted Answer

$$a + 0 = a$$

Question 10

Given the sets $$A = \{2, 8, 10, 20\}$$ and $$B = \{3, 5, 8, 10, 22\}$$, what is $$A \cap B$$?

Accepted Answer

$$\{8, 10\}$$

Question 11

Which of the following numbers is a rational number but NOT an integer?

Accepted Answer

$$\frac{5}{2}$$

Question 12

Which of the following is the correct simplified form of $$(3x^2 + 2xy - 9)(-2x - xy + 4$$)$$?

Accepted Answer

$$-6x^3$$ - $$3x^2y$$ + $$12x^2$$ - $$4x^2y$$ - $$2xy^2 + 8xy + 18x + 9xy - 36$

Question 13

Which of the following is the correct factorization of $$3x^2 + 11x + 10$?

Accepted Answer

$$(3x + 5)(x + 2)$$

Question 14

Which of the following is a null set?

Accepted Answer

$$\{\}$$

Question 15

Which of the following numbers is a solution to the equation $$x^2 = 2$?

Accepted Answer

$$\sqrt{2}$$

Question 16

Which of the following is the correct classification for the number $$-7$$?

Accepted Answer

Integer

Question 17

Which of the following is the correct interval notation for $$x \u003e 3$$?

Accepted Answer

$$(3, \infty)$$

Question 18

Which of the following is the correct simplified form of $$\frac{2}{3} + \frac{1}{6}$$?

Accepted Answer

$$\frac{5}{6}$$

Question 19

Which of the following is the correct classification for the decimal $$0.333\ldots$$?

Accepted Answer

Rational number

Fundamental Concepts of Algebra: Real Numbers and Their Properties

Study Guide - Practice Questions