Question 1

Which of the following is the correct solution to the equation $$2x - 5 = 11$$?

Accepted Answer

$$x = 8$$

Question 2

A chemist mixes two solutions, one with a concentration of $$x$$ grams per liter and another with $$2x$$ grams per liter. If the total concentration after mixing is $$12$$ grams per liter, what is the value of $$x$$?

Accepted Answer

$$x = 4$$

Question 3

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

Accepted Answer

$$x + 10$$

Question 4

If the graph of a line passes through the points $$(2, 5)$$ and $$(4, 9)$$, what is the slope of the line?

Accepted Answer

$$2$$

Question 5

Which of the following is the solution to the system of equations: $$x + y = 7$$ and $$x - y = 1$$?

Accepted Answer

$$(4, 3)$$

Question 6

A car rental company charges a base fee of $$\25$ plus $$\$$0.20$$ per mile driven. Which equation represents the total cost $$C$$ for driving $$m$$ miles?

Accepted Answer

$$C = 0.20m + 25$$

Question 7

Simplify the expression $$(2x^2y)(-3xy^2$)$.

Accepted Answer

$$-6x^3y^3$

Question 8

Which of the following is the correct solution to the inequality $$3x - 7 \u003e 2x + 5$$?

Accepted Answer

$$x \u003e 12$$

Question 9

What is the $$y-$$intercept of the line given by the equation $$y = -2x + 7$$?

Accepted Answer

$$7$$

Question 10

Which of the following is the result of multiplying $$(x + 3)(x - 3)$$?

Accepted Answer

$$x^2 - 9$

Question 11

A scientist writes the number $$0.00056 in $$scientific notation. Which of the following is correct?

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 12

Which of the following is the simplified form of $$\frac{2x^3$y^2$$}{$$4x^2y$$}$?

Accepted Answer

$$\frac{1}{2}xy$$

Question 13

Solve for $$x$$: $$|2x - 3| = 7.$$

Accepted Answer

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

Question 14

Which of the following is the correct result of $$(x + 2)^2$?

Accepted Answer

$$x^2 + 4x + 4$

Question 15

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

Accepted Answer

$$10$$

Question 16

Which of the following is the correct solution to the compound inequality $$-2 \u003c 3x + 1 \u003c 7$$?

Accepted Answer

$$-1 \u003c x \u003c 2$$

Question 17

A line is perpendicular to $$y = \frac{1}{2}x + 3$$ and passes through the point $$(0, -4). $$What is its equation?

Accepted Answer

$$y = -2x - 4$$

Question 18

Which of the following is the result of distributing and combining like terms in $$4(x - 2) + 3(x + 5)$$?

Accepted Answer

$$7x + 7$$

Question 19

Which of the following is the correct application of the FOIL method to $$(x + 4)(x - 2)$$?

Accepted Answer

MTH 65 02 – Beginning Algebra: Course Syllabus and Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards