Question 1

A rideshare company charges a flat fee of $$6 plus 0.75 $$per hour. Which equation models the total cost $$C$$ for $$h$$ hours, and what is the cost for a 4-hour ride?

Accepted Answer

$$C = 6 + 0.75h;\ C = 9$$

Question 2

Solve the inequality $$-2x + 2 \u003e -10$$ and express the solution in interval notation.

Accepted Answer

$$(6, \infty)$$

Question 3

Which of the following lines is perpendicular to $$y = -2x + 7$$?

Accepted Answer

$$y = \frac{1}{2}x - 4$$

Question 4

A club sells regular tickets for $$12 and VIP tickets for 20. If 250 $$tickets are sold for a total of $3940, how many regular tickets were sold?

Accepted Answer

$$90$$

Question 5

Solve for $$x$$: $$|2x + 5| = 9$$

Accepted Answer

$$x = 2 or$$ $$x = -7$$

Question 6

Find the equation of the line passing through $$(4, -1)$$ and parallel to $$y = -2x + 7.$$

Accepted Answer

$$y = -2x + 7$$

Question 7

Given $$f(x) = x^2$ - 4x + 6$$ and $$g(x) = 5x - 2$$, find $$f(g(-1)).$$

Accepted Answer

$$f(g(-1)) = 16$$

Question 8

A coffee shop sells small cups for $$3 and large cups for 5. If 65 $$cups are sold for $233, how many large cups were sold?

Accepted Answer

$$33$$

Question 9

Which of the following is the solution to the system: $$\begin{cases} 2x + 3y = 11 \ x - y = 2 \end{cases}$$?

Accepted Answer

$$(3, 1)$$

Question 10

Solve the inequality $$7x - 4 \u003c 17$$ and write the answer in set-builder notation.

Accepted Answer

$$\{x | x \u003c 3\}$$

Question 11

Which of the following is the correct graph for $$y = \frac{2}{3}x - 3$$?

Accepted Answer

A line with slope $$\frac{2}{3}$$ and $$y-$$intercept $$-3$$

Question 12

If $$|x - 4| = 8$$, what are the possible values of $$x$$?

Accepted Answer

$$x = 12 or$$ $$x = -4$$

Question 13

A bookstore sells notebooks for $$2 and binders for 6. If 120 $$items are sold for $420, how many notebooks were sold?

Accepted Answer

$$90$$

Question 14

Which of the following is the solution to the system: $$\begin{cases} x + 2y = 7 \ 4x - y = 5 \end{cases}$$?

Accepted Answer

$$(3, 2)$$

Question 15

Which of the following lines is parallel to $$y = \frac{3}{4}x - 1$$ and passes through $$(0, -2)$$?

Accepted Answer

$$y = \frac{3}{4}x - 2$$

Question 16

Given $$f(x) = 3x^2$ + 2x + 1$$ and $$g(x) = x - 4$$, find $$f(g(2)).$$

Accepted Answer

$$f(g(2)) = 25$$

Question 17

Solve for $$x$$: $$3(x - 2) = 2(x - 7)$$

Accepted Answer

$$x = -8$$

Question 18

Which of the following is the solution to the system: $$\begin{cases} 2x + 3y = 7 \ 4x - y = 1 \end{cases}$$?

Accepted Answer

$$(2, 1)$$

Question 19

A snack stand sells empanadas for $$4 and patties for 7. If 50 $$items are sold for $353, how many empanadas were sold?

Accepted Answer

$$29$$

Question 20

Which of the following is the correct solution to $$2x - 4 \leq 16$$?

Accepted Answer

$$x \leq 10$$

College Algebra: Linear Equations, Inequalities, Graphs, and Systems – Study Guide

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