Question 1

Which of the following points lies in Quadrant II of the Cartesian coordinate system?

Accepted Answer

$(-4, 6)$

Question 2

Given the equation $2x + 3y = 18$, what is the $x$-intercept?

Accepted Answer

$(9, 0)$

Question 3

Which ordered pair is a solution to the equation $2x + 3y = 18$?

Accepted Answer

$(3, 4)$

Question 4

Find the $y$-intercept of the equation $2x + 3y = 18$.

Accepted Answer

$(0, 6)$

Question 5

What is the distance between the points $(2, 2)$ and $(3, -6)$?

Accepted Answer

$\sqrt{89}$

Question 6

What is the midpoint of the segment with endpoints $(-4, -2)$ and $(2, 5)$?

Accepted Answer

$(-1, \frac{3}{2})$

Question 7

Which equation represents a circle with center $(3, -7)$ and radius $5$?

Accepted Answer

$(x - 3)^2 + (y + 7)^2 = 25$

Question 8

A city plans to build a circular park with center at $(2, -1)$ and a radius of $10$ units. What is the equation of the park's boundary?

Accepted Answer

$(x - 2)^2 + (y + 1)^2 = 100$

Question 9

If a segment has endpoints $(a, b)$ and $(c, d)$, what is the formula for the midpoint?

Accepted Answer

$\left(\frac{a + c}{2}, \frac{b + d}{2}\right)$

Question 10

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

Accepted Answer

The point where the graph crosses the $x$-axis.

Question 11

A company tracks the relationship between advertising dollars $x$ and sales $y$ with the equation $2x + 3y = 18$. If the company spends $3$ units on advertising, what are the sales?

Accepted Answer

$4$ units

Question 12

Which of the following is the correct distance formula between points $(x_1, y_1)$ and $(x_2, y_2)$?

Accepted Answer

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Question 13

If the equation of a circle is $(x - 1)^2 + (y + 2)^2 = 16$, what is the radius?

Accepted Answer

$4$

Question 14

Which of the following statements is true about the graph of $y = x^2 - 9x - 12$?

Accepted Answer

It is a parabola opening upwards.

Question 15

A drone flies from point $(1, 2)$ to point $(7, 8)$. What is the distance it travels?

Accepted Answer

$\sqrt{72}$

Question 16

Which of the following is NOT a solution to $2x + 3y = 18$?

Accepted Answer

$(2, 8)$

Question 17

If a circle has the equation $(x + 2)^2 + (y - 5)^2 = 49$, what is the center of the circle?

Accepted Answer

$(-2, 5)$

Question 18

A segment has endpoints $(5, -3)$ and $(-1, 9)$. What is the midpoint?

Accepted Answer

$(2, 3)$

Question 19

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

Accepted Answer

The point where the graph crosses the $y$-axis.

Question 20

A circle is centered at $(0, 0)$ and passes through $(6, 8)$. What is the equation of the circle?

Accepted Answer

$x^2 + y^2 = 100$

Introduction to Graphing: Points, Equations, and Circles

Study Guide - Practice Questions

Study Guide - Flashcards