Question 1

Graph the equation.
-The y-value is three more than four times the x-value.

Accepted Answer

A

Question 2

Graph the equation.
-$$y = \frac { 1 } { x }$$

Accepted Answer

A

Question 3

Graph the equation.
-$$y = - | x | - 7$$

Accepted Answer

A

Question 4

Graph the equation.
-y = -4

Accepted Answer

The equation y = -4 is a horizontal line that goes through the y-axis at -4. The graph for this line is a straight line parallel to the x-axis at a distance of -4 on the y-axis. The graph in option A shows exactly that.

Question 5

Plot the given point in a rectangular coordinate system.
-(-3, -5)

Accepted Answer

The point (-3, -5) is located in the third quadrant of the rectangular coordinate system, which is the quadrant where both x and y coordinates are negative. Choice A is the only option with a point located in this quadrant.

Question 6

Graph the equation.
-y = 4x - 4

Accepted Answer

The answer of Graph the equation.
-y = 4x - 4...

Question 7

Graph the equation.
-y = x + 3

Accepted Answer

The answer of Graph the equation.
-y = x + 3...

Question 8

Plot the given point in a rectangular coordinate system.
-(0, 3)

Accepted Answer

The point (0,3) lies on the positive y-axis, which corresponds to x=0 in the rectangular coordinate system. Choice A correctly represents this.

Question 9

Interpret Information About a Graphing Utility's Viewing Rectangle or Table
-

Accepted Answer

The answer of Interpret Information About a Graphing Utility's Viewing...

Question 10

Plot the given point in a rectangular coordinate system.
-(-5, 1)

Accepted Answer

The point (-5,1) has a negative x-coordinate and a positive y-coordinate. Therefore, it lies in the second quadrant of the rectangular coordinate system. Among the given choices, option A is the only one that shows a point in the second quadrant.

Question 11

Plot the given point in a rectangular coordinate system.
-$\left(-4,-\frac{3}{2}\right)$

Accepted Answer

The point is located in the third quadrant (x coordinate is negative, y coordinate is negative) and is approximately 4 units to the left of the origin and 1.5 units below the origin. Choice A is the only one that accurately represents this point.

Question 12

Graph the equation.
-$$y = - \frac { 1 } { 4 } x - 2$$

Accepted Answer

The answer of Graph the equation.
-\[y = - \frac {...

Question 13

Graph the equation.
-$y=x^{2}-5$

Accepted Answer

The graph of $y=x^{2}-5$ is a parabola that opens upwards. The vertex of the parabola is at the point (0,-5), and the axis of symmetry is the vertical line passing through the vertex. The graph intersects the y-axis at the point (0,-5). Choice A correctly represents this graph. Choices B, C, and D do not accurately depict the upward-opening parabolic shape of the graph.

Question 14

Plot the given point in a rectangular coordinate system.
-$$\left( - \frac { 7 } { 2 } , 0 \right)$$

Accepted Answer

The point is located at the x-axis and to the left of the origin. Therefore, the x-coordinate is negative and the y-coordinate is zero. The point falls in the third quadrant. Choice A correctly shows the point in the third quadrant.

Question 15

Plot the given point in a rectangular coordinate system.
-(5, 0)

Accepted Answer

The point (5,0) lies on the x-axis and has a positive x-coordinate. Choice A corresponds to the point with x-coordinate 5 and y-coordinate 0 on the rectangular coordinate system.

Question 16

Graph the equation.
-The y-value is five decreased by the square of the x-value.

Accepted Answer

The equation given states that the y-value is five decreased by the square of the x-value. This matches the form of the equation y = a - b^2, where a is the y-intercept and b is the coefficient of the x-term. In this case, a = 5 and b = 1. Therefore, the equation can be written as y = 5 - x^2, which is a quadratic equation. A) is the only option that matches this form, making it the best choice.

Question 17

Plot the given point in a rectangular coordinate system.
-(2, -3)

Accepted Answer

The point (2, -3) would be plotted at 2 on the x-axis and -3 on the y-axis, giving the coordinates (2, -3). The correct graph is shown in choice A.

Question 18

Graph the equation.
-$y=-3|x|$

Accepted Answer

The answer of Graph the equation.
-$y=-3|x|$

...

Question 19

Graph the equation.
-$y=x^{3}-2$

Accepted Answer

The graph of a cubic function has one hump or two dips. The shape of the graph in choice A resembles a cubic function. Additionally, the y-intercept of the equation is -2, which is consistent with the y-intercept of the graph in choice A.

Question 20

Plot the given point in a rectangular coordinate system.
-(2, 5)

Accepted Answer

The point (2, 5) should be plotted 2 units to the right and 5 units up from the origin (0, 0) in a rectangular coordinate system. Among the given choices, only option A shows the point plotted correctly.

Quiz 1: Equations and Inequalities

Graph the equation. -The y-value is three more than four times the x-value.

Graph the equation. - $y = \frac { 1 } { x }$ $Graph the equation. - y = \frac { 1 } { x } A) B) C) D) Write the English sentence as an equation in two variables. Then graph the equation.$

Graph the equation. - $y = - | x | - 7$

Graph the equation. -y = -4

Plot the given point in a rectangular coordinate system. -(-3, -5)

Graph the equation. -y = 4x - 4

Graph the equation. -y = x + 3

Plot the given point in a rectangular coordinate system. -(0, 3)

Interpret Information About a Graphing Utility's Viewing Rectangle or Table -

Plot the given point in a rectangular coordinate system. -(-5, 1)

Plot the given point in a rectangular coordinate system. - $\left(-4,-\frac{3}{2}\right)$ $Plot the given point in a rectangular coordinate system. - \left(-4,-\frac{3}{2}\right) A) B) C) D)$

Graph the equation. - $y = - \frac { 1 } { 4 } x - 2$ $Graph the equation. - y = - \frac { 1 } { 4 } x - 2 A) B) C) D)$

Graph the equation. - $y=x^{2}-5$ $Graph the equation. - y=x^{2}-5 A) B) C) D)$

Plot the given point in a rectangular coordinate system. - $\left( - \frac { 7 } { 2 } , 0 \right)$ $Plot the given point in a rectangular coordinate system. - \left( - \frac { 7 } { 2 } , 0 \right) A) B) C) D)$

Plot the given point in a rectangular coordinate system. -(5, 0)

Graph the equation. -The y-value is five decreased by the square of the x-value. $Graph the equation. -The y-value is five decreased by the square of the x-value. A) y = 5 - x ^ { 2 } B) y = 5 - x C) y = x ^ { 2 } - 5 D) y = x - 5$

Plot the given point in a rectangular coordinate system. -(2, -3)

Graph the equation. - $y=-3|x|$

Graph the equation. - $y=x^{3}-2$ $Graph the equation. - y=x^{3}-2 A) B) C) D)$

Plot the given point in a rectangular coordinate system. -(2, 5)