Question 1

Which of the following ordered pairs is located in Quadrant III of the rectangular coordinate system?

Accepted Answer

$$(-3, -2)$$

Question 2

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

Accepted Answer

$$(0, -4)$$

Question 3

Which of the following points lies on the graph of $$y = x^2$?

Accepted Answer

$$(2, 4)$$

Question 4

A chemist is plotting the temperature and pressure of a gas sample. If the ordered pair $$(0, 4)$$ represents a data point, on which axis does this point lie?

Accepted Answer

On the $$y-$$axis

Question 5

Which equation represents a linear equation in standard form?

Accepted Answer

$$x + 3y = 4$$

Question 6

If a point is located at $$(-2, 4)$$, how do you plot it on the coordinate plane?

Accepted Answer

Move 2 units left and 4 units up from the origin

Question 7

Which of the following ordered pairs is a solution to the equation $$2x + 5y = -4$$?

Accepted Answer

$$(3, -2)$$

Question 8

A medical researcher graphs the equation $$y = |x| to $$model the absolute deviation of a measurement. What is the shape of the graph?

Accepted Answer

A 'V' shape

Question 9

Which of the following is the $$x-$$intercept of the equation $$y = \frac{3}{4}x + 3$$?

Accepted Answer

$$(-4, 0)$$

Question 10

A business analyst uses the equation $$y = \sqrt{x} to $$model profit growth. Which of the following points is on the graph of this equation?

Accepted Answer

$$(4, 2)$$

Question 11

Which of the following statements is TRUE about the origin in the rectangular coordinate system?

Accepted Answer

It is the point where the $$x-$$axis and $$y-$$axis intersect

Question 12

A city planner is graphing the equation $$y = x^2$ to model the shape of a bridge arch. What is the y$-coordinate when x = -2$?

Accepted Answer

$$4$$

Question 13

Which of the following equations is NOT linear?

Accepted Answer

$$y = x^2$

Question 14

If a point has coordinates $$(0, y)$$, where does it lie on the coordinate plane?

Accepted Answer

On the $$y-$$axis

Question 15

Which of the following best describes the solution set of a linear equation in two variables?

Accepted Answer

All ordered pairs $$(x, y)$$ that satisfy the equation

Question 16

A student claims that the point $$(5, 0) is on $$the $$y-$$axis. Is this correct?

Accepted Answer

No, it is on the $$x-$$axis

Question 17

Which of the following points is NOT a solution to $$y = |x|$$?

Accepted Answer

$$(2, -2)$$

Question 18

A physicist is analyzing the graph of $$y = \sqrt{x}. $$Which of the following statements is correct?

Accepted Answer

The graph is only defined for $$x \geq 0$$

Question 19

Which of the following is the correct way to determine if $$(x, y) is a $$solution to $$3x - y = 5$$?

Accepted Answer

Substitute $$x$$ and $$y$$ into the equation and check if the equation is true

Question 20

A biologist is graphing $$y = x^2$ and y$$ = |x|$$ to compare growth patterns. Which statement is true about their graphs?

Accepted Answer

$$y = x^2$ is a parabola, y$$ = |x|$$ is a 'V' shape

Graphs and the Rectangular Coordinate System: Study Notes for Intermediate Algebra

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