Question 1

What are the x- and y-intercepts of the equation $$3x + 5y = 30$$?

Accepted Answer

x-intercept: $$x = 10$$, y-intercept: $$y = 6$$

Question 2

What is the slope of the line passing through the points $$(2,1)$$ and $$(8,4)$$?

Accepted Answer

$$\frac{1}{6}$$

Question 3

Find the equation of the line in slope-intercept form that passes through $$(-3,7)$$ and $$(1,11).$$

Accepted Answer

$$y = x + 4$$

Question 4

Which of the following is the equation of a horizontal line through $$(2,5)$$?

Accepted Answer

$$y = 5$$

Question 5

Given the function $$q(x) = \frac{2x-3}{x+1}$$, what is $$q(4)$$?

Accepted Answer

$$1$$

Question 6

For the function $$q(x) = \frac{2x-3}{x+1}$$, what is the domain?

Accepted Answer

All real numbers except $$x = -1$$

Question 7

A granola mix contains 25% dried fruit, and another contains 10% dried fruit. How many pounds of each should be mixed to get 20 lbs of a 19% dried fruit mix?

Accepted Answer

12 lbs of 25% mix, 8 lbs of 10% mix

Question 8

Solve the system: $$\begin{cases} x - y = 8 \ y = 5x \end{cases}$$

Accepted Answer

$$x = 2, y = 10$$

Question 9

A clothing store sold 36 sweatshirts yesterday. White sweatshirts cost $$10.95 and yellow ones cost 13.50. If $$the total sales were $435, how many of each were sold?

Accepted Answer

21 white, 15 yellow

Question 10

Given the piecewise function $$g(x) = \begin{cases} x^2$ & x \leq 2 \ -2 & x \u003e 2 \end{cases}$$, what is $$g(3)$$?

Accepted Answer

$$-2$$

Question 11

What is the equation of the line in slope-intercept form passing through $$(4,6)$$ and $$(0,-2)$$?

Accepted Answer

$$y = 2x - 2$$

Question 12

If $$f(x) is $$the function graphed as a downward opening parabola with vertex at $$(1,5)$$ and $$f(x) = -x^2$ + 2x + 4$$, for what values of $$x$$ does $$f(x) = 5$$?

Accepted Answer

$$x = -1$$ and $$x = 3$$

Question 13

Given the system $$\begin{cases} 9x + 2y = 7 \ x - 6y = 7 \end{cases}$$, what is the solution $$(x, y)$$?

Accepted Answer

Question 14

What is the equation of the line with slope $$\frac{3}{5}$$ passing through $$(1,2)$$?

Accepted Answer

$$y = \frac{3}{5}x + \frac{7}{5}$$

Question 15

For the function $$g(x) = \begin{cases} x^2$ & x \leq 2 \ -2 & x \u003e 2 \end{cases}$$, what is the range?

Accepted Answer

$$(-\infty, 4] \cup \{-2\}$$

Question 16

If a line passes through $$(2,5)$$ and has a slope of $$-3$$, what is its equation in slope-intercept form?

Accepted Answer

$$y = -3x + 11$$

Question 17

Solve the system: $$\begin{cases} 2x + 5y = 18 \ 4x + y = 9 \end{cases}$$

Accepted Answer

$$x = 1, y = 2$$

Question 18

Which of the following best describes the domain of the function $$f(x) = \frac{2x-3}{x+1}$$?

Accepted Answer

$$(-\infty, -1) \cup (-1, \infty)$$

Question 19

If a line passes through $$(4,6)$$ and $$(-6,3)$$, what is its slope?

Accepted Answer

College Algebra Study Guide: Linear Equations, Functions, and Systems

Guida di studio - Domande di pratica

Study guide - Flashcard