Question 1

Which of the following best describes the purpose of reviewing prerequisites at the beginning of an Intermediate Algebra course?

Accepted Answer

To ensure all students have a strong foundation in basic algebraic concepts before advancing.

Question 2

A student is solving the equation $$2x + 5 = 17. $$What is the value of $$x$$?

Accepted Answer

$$x = 6$$

Question 3

Which of the following is the correct solution to the system of equations: 
$$\begin{cases} x + y = 7 \ x - y = 3 \end{cases}$$

Accepted Answer

$$x = 5,\ y = 2$$

Question 4

A chemical reaction requires mixing two solutions in the ratio $$3:2. If $$you have $$30 mL of $$the first solution, how much of the second solution is needed?

Accepted Answer

$$20 mL$$

Question 5

Which of the following expressions is equivalent to $$(x^2 - 9$$)$$?

Accepted Answer

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

Question 6

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

Accepted Answer

$$15$$

Question 7

A hospital pharmacy needs to prepare $$500 mL of a$$ $$10\%$$ saline solution using only $$5\%$$ and $$20\%$$ saline solutions. How many mL of the $$20\%$$ solution should be used?

Accepted Answer

$$166.67 mL$$

Question 8

Which of the following is the solution to the inequality $$3x - 4 \u003e 8$$?

Accepted Answer

$$x \u003e 4$$

Question 9

A quadratic equation is given by $$x^2 - 6x + 8 = 0$. What are the solutions?

Accepted Answer

$$x = 2,\ x = 4$$

Question 10

Which of the following best describes the graph of $$y = 2x + 3$$?

Accepted Answer

A straight line with slope $$2$$ and $$y-$$intercept $$3$$

Question 11

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

Accepted Answer

$$200$$ miles

Question 12

Which of the following is the correct factorization of $$x^2 + 5x + 6$?

Accepted Answer

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

Question 13

If $$3(x - 2) = 2x + 7$$, what is the value of $$x$$?

Accepted Answer

$$x = 13$$

Question 14

A rectangle has a length that is $$4$$ units more than twice its width. If the perimeter is $$28$$ units, what is the width?

Accepted Answer

$$3$$ units

Question 15

Which of the following is the solution to $$|2x - 5| = 9$$?

Accepted Answer

$$x = 7 or$$ $$x = -2$$

Question 16

A population of bacteria triples every hour. If there are $$200$$ bacteria now, how many will there be in $$4$$ hours?

Accepted Answer

$$5400$$

Question 17

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

Accepted Answer

$$x = 12$$

Question 18

If $$x^2 = 49$, what are the possible values of x$?

Accepted Answer

$$x = 7 or$$ $$x = -7$$

Question 19

A student invests $$\1000$ in an account that earns 5$$\%$$ simple interest per year. How much interest will the student earn after 3$ years?

Accepted Answer

$$\150$

Question 20

Which of the following is the solution to the equation $$4(x - 2) = 3x + 8$$?

Accepted Answer

$$x = 16$$

Intermediate Algebra Course Schedule Overview

Study Guide - Practice Questions

Study Guide - Flashcards