Question 1

A nurse needs to administer 0.75 liters of saline solution to a patient. If the solution is supplied in bottles containing $$\frac{3}{8}$$ liters each, how many full bottles are needed to provide at least 0.75 liters?

Accepted Answer

2 bottles

Question 2

Which of the following is the correct simplification of the expression $$2(x - 3) + 4x$$?

Accepted Answer

$$6x - 6$$

Question 3

A car rental company charges a flat fee of $$\25$ plus $$\$$0.15$$ per mile driven. If a customer is charged $$\61$ in total, how many miles did they drive?

Accepted Answer

$$240$$ miles

Question 4

Which of the following is the solution to the equation $$\frac{2}{3}x - 4 = 8$$?

Accepted Answer

$$x = 12$$

Question 5

A biologist records the number of birds seen each day for a week: $$8, 12, 10, 15, 9, 11, 10. $$What is the mean number of birds seen per day?

Accepted Answer

$$11$$

Question 6

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

Accepted Answer

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

Question 7

A medication is prescribed at a dosage of $$0.25$$ grams per kilogram of body weight. If a patient weighs $$80$$ kilograms, how many grams of medication should be administered?

Accepted Answer

$$20$$ grams

Question 8

Which of the following is equivalent to $$5\%$$ expressed as a decimal?

Accepted Answer

$$0.05$$

Question 9

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

Accepted Answer

$$15$$

Question 10

A store is having a $$30\%$$ off sale. If an item originally costs $$\80$, what is the sale price?

Accepted Answer

$$\56$

Question 11

Which of the following is the correct solution to the inequality $$3x - 7 \u003c 11$$?

Accepted Answer

$$x \u003c 6$$

Question 12

A chemist mixes $$2.5$$ liters of a $$40\%$$ saline solution with $$7.5$$ liters of pure water. What is the concentration of saline in the resulting mixture?

Accepted Answer

$$10\%$$

Question 13

Which of the following is the correct result of $$(-3)^2 + 4$$ 	imes 2$$?

Accepted Answer

$$17$$

Question 14

A student scored $$78$$, $$85$$, $$92$$, and $$88 on $$four exams. What score must the student get on the fifth exam to have an average of $$85$$?

Accepted Answer

$$80$$

Question 15

Which of the following is the correct simplification of $$\frac{3}{4} \div \frac{1}{2}$$?

Accepted Answer

$$\frac{3}{2}$$

Question 16

The line passing through the points $$(2, 5)$$ and $$(4, 9)$$ has which of the following equations?

Accepted Answer

$$y = 2x + 1$$

Question 17

A bag contains $$5$$ red, $$3$$ blue, and $$2$$ green marbles. What is the probability of randomly selecting a blue marble?

Accepted Answer

$$\frac{3}{10}$$

Question 18

Which of the following is the correct result of $$2x^2 - 3x$$ + $$4x^2 + 5x$?

Accepted Answer

$$6x^2 + 2x$

Question 19

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

$$5$$ meters

Question 20

Which of the following is the correct value of $$\sqrt{49} + 2^3$?

Accepted Answer

$$15$$

Introductory Algebra Syllabus and Course Structure Overview

Study Guide - Practice Questions

Study Guide - Flashcards