Question 1

Solve the inequality $$-6x + 9 \geq 3x - 18. $$Which of the following is the solution in interval notation?

Accepted Answer

$$(-\infty, 3]$$

Question 2

Solve the absolute value equation $$|x + 8| = 5. $$What are the solutions?

Accepted Answer

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

Question 3

Which of the following equations represents a vertical line?

Accepted Answer

$$x = -2$$

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

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

Accepted Answer

$$C = 60 + 0.45x$$

Question 6

What is the distance between the points $$(-2, 7)$$ and $$(4, -1)$$?

Accepted Answer

$$6\sqrt{2}$$

Question 7

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

Accepted Answer

$$(2, 2)$$

Question 8

Find the equation of the line passing through $$(1, -2)$$ and $$(5, 6).$$

Accepted Answer

$$y = 2x - 4$$

Question 9

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

Accepted Answer

$$100$$

Question 10

Solve the equation $$10 - 3(2x + 1) = x - 8$$ for $$x.$$

Accepted Answer

$$x = 3$$

Question 11

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

Accepted Answer

$$[-1, \infty)$$

Question 12

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

Accepted Answer

$$(1, 1)$$

Question 13

Which of the following is the equation of a line perpendicular to $$y = \frac{1}{2}x + 5$$ passing through $$(4, -1)$$?

Accepted Answer

$$y = -2x + 7$$

Question 14

Solve the absolute value inequality $$|3x - 2| \u003c 10. $$Which of the following is the solution?

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

A line has the equation $$y = -2x - 3. $$What are its slope and $$y-$$intercept?

Accepted Answer

Slope $$m = -2$$, $$y-$$intercept $$b = -3$$

Question 17

Which of the following is the equation of a line parallel to $$y = 3x - 7$$ passing through $$(-1, 4)$$?

Accepted Answer

$$y = 3x + 7$$

Question 18

Find the solution set for the inequality $$4(x - 5) \u003c 2x + 6.$$

Accepted Answer

$$x \u003c 13$$

Question 19

Which of the following is the equation of a line perpendicular to $$y = -6$$ passing through $$(0, 5)$$?

Accepted Answer

$$x = 0$$

Question 20

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

Accepted Answer

$$114$$

College Algebra Exam Review: Step-by-Step Guidance

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