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?

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 $y = x^2 + 1$?

Graphs, Coordinate Systems, and Slopes in College Algebra

Study Guide - Practice Questions

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