Question 1

Which of the following best describes the x-intercept of a graph?

Accepted Answer

The point where the graph crosses the x-axis, with y-value always zero.

Question 2

Given the equation $$y = x^2$ + 3$$, which ordered pair is a solution to the equation?

Accepted Answer

$$(2, 7)$$

Question 3

A biologist is tracking the population of a species over time. She models the population with the equation $$y = 2x + 5$$, where $$x is $$the number of years since the study began and $$y is $$the population in hundreds. What is the population after 4 years?

Accepted Answer

$$y = 13 (i.e$$., 1300 individuals)

Question 4

Which quadrant does the point $$(-3, 4)$$ lie in on the Cartesian plane?

Accepted Answer

Quadrant II

Question 5

A line passes through the points $$(2, 1)$$ and $$(4, 3). $$What is the slope of the line?

Accepted Answer

$$m = 1$$

Question 6

Which of the following is the correct formula for the slope $$m$$ between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 7

A company’s profit $$P (in $$thousands of dollars) after $$x$$ months is modeled by $$P = -2x + 20. $$After how many months will the profit be zero?

Accepted Answer

$$x = 10$$

Question 8

Which of the following points is NOT on the graph of $$y = x + 2$$?

Accepted Answer

$$(2, 5)$$

Question 9

If the equation of a line is $$y = -3x + 6$$, what is the y-intercept?

Accepted Answer

$$(0, 6)$$

Question 10

A medical researcher graphs the equation $$y = \sqrt{x} + 1 to $$model the dosage response of a drug, where $$x is $$the dosage in mg and $$y is $$the response level. What is the response level when the dosage is $$9 mg$$?

Accepted Answer

$$y = 4$$

Question 11

Which of the following equations represents a line with a slope of $$-2$$ and a y-intercept of $$5$$?

Accepted Answer

$$y = -2x + 5$$

Question 12

A student graphs the equation $$y = x^2$ - 4 by $$plotting points. Which of the following ordered pairs is on the graph?

Accepted Answer

$$(-2, 0)$$

Question 13

Which statement is TRUE about the graph of $$y = x + 5$$?

Accepted Answer

It passes through the point $$(0, 5).$$

Question 14

A line passes through $$(1, 2)$$ and $$(3, 6). $$What is the equation of the line in slope-intercept form?

Accepted Answer

Question 15

Which of the following is the correct process for graphing a two-variable equation by plotting points?

Accepted Answer

Isolate $$y$$, calculate $$y-$$values for chosen $$x-$$values, plot $$(x, y)$$ points, connect with line/curve.

Question 16

A city’s temperature $$T (in $$degrees Celsius) over time $$h (in $$hours) is modeled by $$T = -0.5h + 20. $$What is the temperature after 8 hours?

Accepted Answer

$$T = 16$$

Question 17

Which of the following points is in Quadrant IV?

Accepted Answer

$$(3, -2)$$

Question 18

If the graph of $$y = x - 4$$ crosses the x-axis, what is the x-intercept?

Accepted Answer

$$(4, 0)$$

Question 19

A line passes through $$(0, 0)$$ and $$(5, 10). $$What is the slope of the line?

Accepted Answer

$$m = 2$$

Question 20

Which of the following is NOT a solution to $$y = x^2$ + 1$$?

Accepted Answer

Graphs, Coordinate Systems, and Slopes in College Algebra

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