Question 1

Solve the inequality $$-6x + 9 \geq 3x - 18$$ and express your answer in interval notation.

Accepted Answer

$$(-\infty, 3]$$

Question 2

Which of the following is the solution to the absolute value equation $$|x + 8| = 5$$?

Accepted Answer

$$x = -13 or$$ $$x = -3$$

Question 3

Solve the absolute value inequality $$|3x - 2| \u003c 10.$$

Accepted Answer

$$-\frac{8}{3} \u003c x \u003c 4$$

Question 4

Find the slope and y-intercept of the line $$5x - y = 10.$$

Accepted Answer

Slope $$m = 5$$, y-intercept $$b = -10$$

Question 5

Which of the following equations represents a vertical line?

Accepted Answer

$$x = -2$$

Question 6

What is the equation of the line passing through $$(1, -2)$$ and $$(5, 6)$$?

Accepted Answer

$$y = 2x - 4$$

Question 7

A moving company charges $$60 plus 0.45 $$per mile. Which equation models the total cost $$C$$ for $$x$$ miles?

Accepted Answer

$$C = 60 + 0.45x$$

Question 8

Find the distance between the points $$(-2, 7)$$ and $$(4, -1).$$

Accepted Answer

$$6\sqrt{2}$$

Question 9

Which point lies on the line $$y = -x + 4$$?

Accepted Answer

$$(4, 0)$$

Question 10

Find all points with $$x-$$coordinate $$2$$ that are $$13$$ units from $$(2, 5).$$

Accepted Answer

$$(2, 18)$$ and $$(2, -8)$$

Question 11

Write the equation of the line perpendicular to $$y = \frac{1}{2}x + 5$$ passing through $$(4, -1).$$

Accepted Answer

$$y = -2x + 7$$

Question 12

Find the midpoint of the segment with endpoints $$(-6, 4)$$ and $$(8, -2).$$

Accepted Answer

$$(1, 1)$$

Question 13

A phone plan costs $$55$$ per month plus $$15$$ per gigabyte of data used. What is the cost if $$3 GB $$are used?

Accepted Answer

$$100$$

Question 14

Which interval represents $$x \geq -1$$?

Accepted Answer

$$[-1, \infty)$$

Question 15

Find the equation of the line parallel to $$y = 3x - 7$$ passing through $$(-1, 4).$$

Accepted Answer

$$y = 3x + 7$$

Question 16

Find all points with $$y-$$coordinate $$-4$$ that are $$10$$ units from $$(6, -4).$$

Accepted Answer

$$(16, -4)$$ and $$(-4, -4)$$

Question 17

Which of the following is the solution to the equation $$10 - 3(2x + 1) = x - 8$$?

Accepted Answer

$$x = 3$$

Question 18

What is the slope of the line $$3y = -9x + 12$$?

Accepted Answer

$$-3$$

Question 19

Which of the following best describes the line $$x = 6$$?

Accepted Answer

Vertical line, slope undefined, no y-intercept

Question 20

A moving company charges $$60$$ plus $$0.45$$ per mile. What is the cost for a $$120-$$mile trip?

Accepted Answer

$$114$$

College Algebra Exam Review: Step-by-Step Guidance

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