Question 1

Which of the following numbers is irrational?

Accepted Answer

$\sqrt{5}$

Question 2

What is the distance between the points $-4$ and $3$ on a number line?

Accepted Answer

$7$

Question 3

Which property is illustrated by the equation $a + b = b + a$?

Accepted Answer

Commutative Property

Question 4

Simplify $(-2)^4$.

Accepted Answer

$16$

Question 5

Which of the following is a rational number?

Accepted Answer

$\frac{5}{8}$

Question 6

Evaluate $\sqrt{49}$.

Accepted Answer

$7$

Question 7

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

Accepted Answer

Distributive Property

Question 8

If $x = -3$ and $y = 5$, what is $|x - y|$?

Accepted Answer

$8$

Question 9

Which of the following is NOT a real number?

Accepted Answer

$\sqrt{-1}$

Question 10

Simplify $\left(\frac{1}{2}\right)^3$.

Accepted Answer

$\frac{1}{8}$

Question 11

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

Accepted Answer

Associative Property

Question 12

A chemist mixes $2$ liters of a $30\%$ acid solution with $3$ liters of a $50\%$ acid solution. What is the concentration of acid in the resulting mixture?

Accepted Answer

$40\%$

Question 13

Which of the following numbers is both rational and an integer?

Accepted Answer

$-7$

Question 14

Simplify $\sqrt{81} + (-9)$.

Accepted Answer

$0$

Question 15

Which property is illustrated by the equation $a \cdot 1 = a$?

Accepted Answer

Identity Property

Question 16

A patient receives $250$ mg of medication every $6$ hours. How much medication will the patient receive in $24$ hours?

Accepted Answer

$1000$ mg

Question 17

Which of the following is the correct simplification of $(-3)^2$?

Accepted Answer

$9$

Question 18

Which of the following is a real number but NOT a rational number?

Accepted Answer

$\sqrt{7}$

Question 19

If $a = 2$ and $b = 5$, what is the value of $a^2 + b^2$?

Accepted Answer

$29$

Question 20

Which property is illustrated by the equation $a + 0 = a$?

Accepted Answer

Identity Property

College Algebra Chapter R: Real Numbers, Properties, and Number Line Distance

Study Guide - Practice Questions

Study Guide - Flashcards