Question 1

Which of the following best describes the main focus of MTH 65 02 – Beginning Algebra at Southwestern Oregon Community College?

Accepted Answer

A study of the concepts and principles considered in beginning algebra.

Question 2

Which of the following is a correct application of the distributive property to the expression $$3(x + 4)$$?

Accepted Answer

$$3x + 12$$

Question 3

A student solves the equation $$2x - 5 = 9. $$What is the value of $$x$$?

Accepted Answer

$$x = 7$$

Question 4

Which of the following is the correct slope-intercept form of the equation of a line with slope $$m = -3$$ and $$y-$$intercept $$b = 5$$?

Accepted Answer

$$y = -3x + 5$$

Question 5

If $$f(x) = 2x + 1$$, what is $$f(4)$$?

Accepted Answer

$$f(4) = 9$$

Question 6

Which of the following is the solution to the system of equations: $$\begin{cases} x + y = 6 \ x - y = 2 \end{cases}$$?

Accepted Answer

$$(x, y) = (4, 2)$$

Question 7

Simplify the expression $$(-2)^3$$ 	imes $$(-2)^2.$$

Accepted Answer

$$32$$

Question 8

Which of the following is the correct graph of the equation $$y = 2x - 3$$?

Accepted Answer

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

Question 9

A chemist mixes two solutions, one with a concentration of $$x$$ grams per liter and another with $$y$$ grams per liter, to create a mixture with a total concentration of $$10$$ grams per liter. If $$x = 6$$ and $$y = 4$$, what is the average concentration?

Accepted Answer

$$5$$ grams per liter

Question 10

Which of the following is the correct simplification of the polynomial $$2x^2 + 3x$$ - $$x^2 + 4$?

Accepted Answer

$$x^2 + 3x + 4$

Question 11

Solve the absolute value equation $$|2x - 5| = 7.$$

Accepted Answer

$$x = 6 or$$ $$x = -1$$

Question 12

Which of the following is the correct result of multiplying $$(x + 2)(x - 3)$$?

Accepted Answer

$$x^2 - x - 6$

Question 13

A business owner wants to split a $$1200$$ bonus among her $$4$$ employees equally. Which equation represents the amount $$x$$ each employee receives?

Accepted Answer

$$x = \frac{1200}{4}$$

Question 14

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

Accepted Answer

$$x \u003c 3$$

Question 15

If $$a = 2$$ and $$b = -3$$, what is the value of $$a^2 + 2ab$$ + $$b^2$$?

Accepted Answer

$$25$$

Question 16

Which of the following is the correct scientific notation for $$0.00056$$?

Accepted Answer

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

Question 17

A line passes through the points $$(1, 2)$$ and $$(3, 6). $$What is the slope of the line?

Accepted Answer

$$2$$

Question 18

Which of the following is the correct result of dividing $$x^5 by$$ $$x^2$$?

Accepted Answer

$$x^3$$

Question 19

Which of the following is the correct solution to the compound inequality $$-2 \u003c x + 3 \u003c 5$$?

Accepted Answer

$$-5 \u003c x \u003c 2$$

Question 20

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

Accepted Answer

$$4x^2 - 12x + 9$

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

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