Question 1

Which of the following is the correct application of the Distributive Law to the expression $$3(x + 4)$$?

Accepted Answer

$$3x + 12$$

Question 2

A chemist mixes two solutions, one with a concentration of $$5\%$$ salt and another with $$15\%$$ salt, to obtain $$10$$ liters of a $$9\%$$ salt solution. How many liters of the $$15\%$$ solution should be used?

Accepted Answer

$$5$$ liters

Question 3

Which of the following is NOT a property of real numbers?

Accepted Answer

Imaginary Property

Question 4

Solve for $$x$$: $$2x - 5 = 9$$

Accepted Answer

Question 5

A car rental company charges a flat fee of $$\30$ plus $$\$$0.20$$ per mile driven. If a customer is charged $$\50$, how many miles did they drive?

Accepted Answer

$$80$$ miles

Question 6

Which of the following best describes the solution set of the inequality $$2x + 3 \u003c 7$$?

Accepted Answer

$$x \u003c 2$$

Question 7

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

Accepted Answer

$$17$$

Question 8

Which of the following equations represents a line with a slope of $$-3$$ and a $$y-$$intercept of $$5$$?

Accepted Answer

$$y = -3x + 5$$

Question 9

A biologist is tracking the population of a bacteria culture that doubles every $$4$$ hours. If the initial population is $$500$$, what will the population be after $$12$$ hours?

Accepted Answer

$$4000$$

Question 10

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

Accepted Answer

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

Question 11

A medication is administered at a dose that decreases by $$20\%$$ each hour. If the initial dose is $$100 mg$$, how much remains after $$3$$ hours?

Accepted Answer

$$51.2 mg$$

Question 12

Which of the following is the solution to the system of equations: $$\begin{cases} x + y = 7 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$(4, 3)$$

Question 13

Which of the following is the correct simplification of $$\dfrac{2x^2$y}{4xy^2$}$$?

Accepted Answer

$$\dfrac{x}{2y}$$

Question 14

A company’s profit $$P (in $$dollars) is given by $$P = 50x - 200$$, where $$x is $$the number of units sold. What is the minimum number of units that must be sold for the company to make a profit?

Accepted Answer

$$6$$

Question 15

Which of the following is the solution to $$|2x - 3| = 7$$?

Accepted Answer

$$x = 5 or$$ $$x = -2$$

Question 16

If $$g(x) = 3x - 4$$ and $$h(x) = x^2$, what is (g$$ \circ h)(2)$$?

Accepted Answer

$$3 	imes (2^2$) - 4 = 8$$

Question 17

Which of the following is the correct solution to the quadratic equation $$x^2 - 6x + 9 = 0$?

Accepted Answer

$$x = 3$$

Question 18

A rectangle 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 19

Which of the following is the correct result of multiplying $$(x + 2)(x - 5)$$?

Accepted Answer

$$x^2 - 3x - 10$

Question 20

A student scores $$80\%$$, $$85\%$$, $$90\%$$, and $$95\% on $$four exams. What is the minimum score the student must earn on the final exam to have an average of at least $$90\%$$?

Accepted Answer

$$100\%$$

Elementary Algebra I: Course Overview and Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards