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

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