Question 1

Which of the following is the correct solution to the equation $$2x + 5 = 17$$?

Accepted Answer

$$x = 6$$

Question 2

A chemist mixes two solutions. The first contains $$3x$$ grams of salt, and the second contains $$2x + 4$$ grams. If the total salt is $$19$$ grams, what is the value of $$x$$?

Accepted Answer

$$x = 5$$

Question 3

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

Accepted Answer

$$7x - 8$$

Question 4

A medical researcher needs to dilute a solution from $$10\%$$ concentration to $$5\%. If $$she has $$100 mL of $$the $$10\%$$ solution, how much water should she add to achieve the $$5\%$$ concentration?

Accepted Answer

$$100 mL$$

Question 5

Solve for $$x in $$the equation $$5(x - 2) = 3x + 6.$$

Accepted Answer

$$x = 6$$

Question 6

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

Accepted Answer

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

Question 7

A student is solving the equation $$2x + 3 = 7. $$What is the first step to isolate $$x$$?

Accepted Answer

Subtract $$3$$ from both sides

Question 8

If $$f(x) = 2x^2$ - 3x + 4$$, what is $$f(2)$$?

Accepted Answer

$$6$$

Question 9

Which of the following is the solution to the system of equations: $$x + y = 10$$ and $$x - y = 2$$?

Accepted Answer

$$x = 6, y = 4$$

Question 10

A rectangular garden has a length that is $$3$$ meters more than its width. If the perimeter is $$30$$ meters, what is the width?

Accepted Answer

$$6$$ meters

Question 11

Simplify the expression $$\frac{6x^2$}{3x}.$$

Accepted Answer

$$2x$$

Question 12

Which of the following is the solution to the quadratic equation $$x^2 - 5x + 6 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 3$$

Question 13

A car rental company charges $$40$$ dollars per day plus $$0.20$$ per mile driven. If a customer paid $$60$$ dollars for one day, how many miles did they drive?

Accepted Answer

$$100$$ miles

Question 14

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

Accepted Answer

$$-x + 10$$

Question 15

Solve for $$x in $$the equation $$\frac{x}{4} + 2 = 5.$$

Accepted Answer

$$x = 12$$

Question 16

Which of the following is the correct solution to $$3x - 7 = 2x + 5$$?

Accepted Answer

$$x = 5$$

Question 17

A student incorrectly solves $$x^2 + 4x + 4 = 0$ by factoring as (x + 2)(x + 2) = 0$. What are the correct solutions?

Accepted Answer

$$x = -2$$

Question 18

If $$y = 3x - 7$$, what is $$x$$ when $$y = 8$$?

Accepted Answer

$$x = 5$$

Question 19

Which of the following is the correct solution to $$2(x - 3) = 4x + 6$$?

Accepted Answer

$$x = -6$$

Question 20

A student is asked to solve $$x^2 = 16$. Which of the following is correct?

Accepted Answer

$$x = 4$$ and $$x = -4$$

Math 98: Beginning Algebra – Course Structure and Topic Overview

Study Guide - Practice Questions

Study Guide - Flashcards