Question 1

Which of the following ordered pairs lies in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-2, 3)$$

Question 2

Given the equation $$x - 2y = 3$$, which of the following ordered pairs is a solution to the equation?

Accepted Answer

$$(4, 0.5)$$

Question 3

What is the midpoint of the segment connecting the points $$(2, 5)$$ and $$(4, 6)$$?

Accepted Answer

$$(3, 5.5)$$

Question 4

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

Accepted Answer

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

Question 5

If the point $$(0, 4) is $$plotted on the coordinate plane, on which axis does it lie?

Accepted Answer

On the $$y-$$axis

Question 6

What is the $$x-$$intercept of the line $$y = 2x - 4$$?

Accepted Answer

$$(2, 0)$$

Question 7

A chemical reaction produces a graph with the equation $$y = -3x + 6. $$What is the $$y-$$intercept of this graph?

Accepted Answer

$$(0, 6)$$

Question 8

Which of the following is the correct definition of an ordered pair?

Accepted Answer

A set of two numbers written in a specific order, $$(x, y)$$, representing a point in the plane.

Question 9

A medical researcher plots the points $$(1, 4)$$ and $$(4, 8) to $$track patient recovery. What is the distance between these two points?

Accepted Answer

$$\sqrt{(4-1)^2$ + (8-4)^2$} = \sqrt{9 + 16} = \sqrt{25} = 5$$

Question 10

Which of the following equations represents a line passing through the points $$(0, 4)$$ and $$(2, 5)$$?

Accepted Answer

$$y = 0.5x + 4$$

Question 11

A city planner uses the midpoint formula to find the center between two locations at $$(3, 2)$$ and $$(7, 6). $$What is the midpoint?

Accepted Answer

$$(5, 4)$$

Question 12

Which of the following is the correct formula for the midpoint $$M$$ between $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

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

Question 13

A biologist records the point $$(-3, -5)$$ for a species location. In which quadrant does this point lie?

Accepted Answer

Quadrant III

Question 14

Which of the following is the solution to the equation $$2x + 4 = 20$$?

Accepted Answer

$$x = 10$$

Question 15

A student solves the equation $$\frac{2}{x+4} + \frac{5}{x-2} = \frac{5}{x^2$+2x-8}. $$What is the least common denominator (LCD) for this equation?

Accepted Answer

$$(x+4)(x-2)$$

Question 16

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

Accepted Answer

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

Question 17

A business tracks sales using the equation $$y = 3x + 2. If$$ $$x = 5$$, what is the value of $$y$$?

Accepted Answer

$$y = 17$$

Question 18

Which of the following points lies on the $$x-$$axis?

Accepted Answer

$$(4, 0)$$

Question 19

A student is asked to plot the point $$(0, 0) on $$the coordinate plane. Where does this point lie?

Accepted Answer

At the origin

Question 20

Which of the following equations is equivalent to $$x^2 - 4x + 4 = 0$?

Accepted Answer

$$(x-2)^2 = 0$

The Rectangular Coordinate System and Plotting Ordered Pairs

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