Question 1

Which of the following best describes the origin in the Cartesian coordinate plane?

Accepted Answer

The point where the x-axis and y-axis intersect, represented by $(0,0)$.

Question 2

Given the point $(-4,2)$, in which quadrant of the Cartesian plane does it lie?

Accepted Answer

Quadrant II

Question 3

Which ordered pair is a solution to the equation $y = -4x + 10$?

Accepted Answer

$(1.5, 8)$

Question 4

What is the distance between the points $(3,4)$ and $(-2,2)$?

Accepted Answer

$\sqrt{29}$

Question 5

Which formula is used to find the midpoint between two points $(x_1, y_1)$ and $(x_2, y_2)$?

Accepted Answer

$\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$

Question 6

If a circle has the equation $(x-3)^2 + (y-8)^2 = 64$, what is the center and radius of the circle?

Accepted Answer

Center: $(3,8)$, Radius: $8$

Question 7

Which of the following points is NOT located in Quadrant III?

Accepted Answer

$(2,-4)$

Question 8

A city plans to build a circular park with center at $(2, -1)$ and radius $5$. What is the equation of the park's boundary?

Accepted Answer

$(x-2)^2 + (y+1)^2 = 25$

Question 9

Which statement about the axes in the Cartesian plane is correct?

Accepted Answer

The x-axis is the horizontal reference line and the y-axis is the vertical reference line.

Question 10

Given the equation $5x + 2y = 70$, which ordered pair is a solution?

Accepted Answer

$(12,5)$

Question 11

A drone flies from point $A(2,3)$ to point $B(6,4)$. What is the midpoint of its path?

Accepted Answer

$(4, 3.5)$

Question 12

Which of the following is the correct method to find the x-intercept of a linear equation?

Accepted Answer

Set $y = 0$ and solve for $x$.

Question 13

A biologist tracks two animals at $(2,3)$ and $(6,4)$. What is the distance between them?

Accepted Answer

$\sqrt{17}$

Question 14

Which of the following points is in Quadrant IV?

Accepted Answer

$(4,-5)$

Question 15

A circle has center $(-1,-1)$ and radius $7$. What is its equation in standard form?

Accepted Answer

$(x+1)^2 + (y+1)^2 = 49$

Question 16

Which ordered pair represents a point on the y-axis?

Accepted Answer

$(0,3)$

Question 17

A company wants to place a sign at the midpoint between its two stores at $(-4,2)$ and $(2,15)$. Where should the sign be placed?

Accepted Answer

$(-1, 8.5)$

Question 18

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

Accepted Answer

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

Question 19

Which of the following ordered pairs is NOT a solution to $y = -4x + 10$?

Accepted Answer

$(1,6)$

Fundamentals of the Cartesian Plane and Coordinate Geometry

Study Guide - Practice Questions