Question 1

Which of the following ordered pairs is located in Quadrant II of the Cartesian plane?

Accepted Answer

$$(-4, 5)$$

Question 2

Given the equation $$y = -2x + 1$$, which of the following points lies on its graph?

Accepted Answer

$$(1, -1)$$

Question 3

What is the $$y-$$intercept of the line represented by the equation $$y = 3x - 4$$?

Accepted Answer

$$(0, -4)$$

Question 4

A biologist tracks the population of a species using 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 3 years?

Accepted Answer

$$y = 11$$

Question 5

Which of the following equations represents a function whose graph is a parabola opening downward?

Accepted Answer

$$y = -x^2$ + 2$$

Question 6

Find the slope of the line passing through the points $$(-1, 1)$$ and $$(4, 3).$$

Accepted Answer

$$m = \frac{2}{5}$$

Question 7

A company’s profit $$P (in $$thousands of dollars) is modeled by $$P = 4x - 10$$, where $$x is $$the number of products sold. What is the break-even point (where profit is zero)?

Accepted Answer

$$x = 2.5$$

Question 8

Which of the following is the $$x-$$intercept of the graph of $$y = x^2$ - 4$$?

Accepted Answer

$$(2, 0)$$ and $$(-2, 0)$$

Question 9

If the graph of $$y = f(x)$$ passes through the point $$(3, -2)$$, which statement is true?

Accepted Answer

$$f(3) = -2$$

Question 10

Which of the following is the correct formula for the slope $$m of a $$line passing through points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

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

Question 11

A medical researcher models the temperature of a patient over time with $$T = -0.5t + 98.6$$, where $$t is $$hours since medication was administered. What is the patient’s temperature after 4 hours?

Accepted Answer

$$T = 96.6$$

Question 12

Which of the following equations is NOT a function?

Accepted Answer

$$x = 2$$

Question 13

The graph of $$y = \sqrt{x} + 1 is $$defined for which values of $$x$$?

Accepted Answer

$$x \geq 0$$

Question 14

Which of the following best describes the $$y-$$intercept of a graph?

Accepted Answer

The point where $$x = 0$$

Question 15

A line passes through $$(2, 4)$$ and $$(5, 10). $$What is its slope?

Accepted Answer

$$m = 2$$

Question 16

Which of the following points is the $$x-$$intercept of the line $$y = -3x + 6$$?

Accepted Answer

$$(2, 0)$$

Question 17

A chemist models the concentration of a solution with $$C = 0.5t + 2$$, where $$t is $$time in hours. What is the concentration after 6 hours?

Accepted Answer

$$C = 5$$

Question 18

Which of the following is the domain of the function $$f(x) = x^2$ + 1$$?

Accepted Answer

All real numbers

Question 19

If a graph passes through $$(0, 5)$$, what is its $$y-$$intercept?

Accepted Answer

$$(0, 5)$$

Question 20

Which of the following equations represents a line with slope $$-1$$ and $$y-$$intercept $$3$$?

Accepted Answer

$$y = -x + 3$$

Graphing and Analyzing Linear Equations in the Rectangular Coordinate System

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