Question 1

Which of the following best describes the real number system?

Accepted Answer

A set of numbers that includes all rational and irrational numbers.

Question 2

Solve the equation $$2x - 5 = 11$$ for $$x.$$

Accepted Answer

$$x = 8$$

Question 3

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

Accepted Answer

Distributive Property

Question 4

A chemist mixes $$x$$ liters of a $$10\%$$ saline solution with $$5$$ liters of a $$20\%$$ saline solution to obtain a $$15\%$$ saline solution. What is the value of $$x$$?

Accepted Answer

$$x = 5$$

Question 5

Simplify the expression $$3(x + 4) - 2x.$$

Accepted Answer

$$x + 12$$

Question 6

Which of the following is the solution to the equation $$\frac{2}{3}x = 8$$?

Accepted Answer

Question 7

Which of the following is a correct simplification of $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 8

A student scored $$x$$ points on the first test and $$x + 10$$ points on the second test. If the average score for both tests is $$85$$, what is the value of $$x$$?

Accepted Answer

$$x = 80$$

Question 9

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

Accepted Answer

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

Question 10

If $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(2)$$?

Accepted Answer

Question 11

Which of the following is the correct solution to the equation $$x^2 = 25$?

Accepted Answer

$$x = 5 or$$ $$x = -5$$

Question 12

A rectangular garden has a length that is $$3$$ meters more than twice its width. If the perimeter is $$36$$ meters, what is the width?

Accepted Answer

$$4$$ meters

Question 13

Which of the following is the correct simplification of $$\frac{3x^2$y}{6xy^2$}$$?

Accepted Answer

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

Question 14

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

Accepted Answer

$$1$$

Question 15

Which of the following is the solution to the inequality $$3x - 7 \u003c 2x + 5$$?

Accepted Answer

$$x \u003c 12$$

Question 16

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. If a customer paid $$\65$, how many miles did they drive?

Accepted Answer

$$200$$ miles

Question 17

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

Accepted Answer

$$4x^6y^4$

Question 18

If $$\sqrt{x} = 7$$, what is $$x$$?

Accepted Answer

$$49$$

Question 19

Which of the following is the correct solution to the equation $$\frac{x - 2}{4} = 3$$?

Accepted Answer

$$x = 14$$

Intermediate Algebra (MATH 120) Syllabus and Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards