Question 1

Graph the ordered pair. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

D

Question 2

Give the coordinates of the point in the figure. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

D

Question 3

Give the coordinates of the point in the figure. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

E

Question 4

Graph the ordered pair. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the ordered pair. 
A) 
B) 
C)...

Question 5

Give the coordinates of the point in the figure. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Give the coordinates of the point in...

Question 6

Graph the points (4, 3) and (-4, -1) and draw a straight line that passes through both of them. Does the graph of (0, - 2) lie on this line? 
A) Yes
B) No

Accepted Answer

The answer of Graph the points (4, 3) and (-4,...

Question 7

Graph the points (-2, 4) and (2, -4) and draw a straight line that passes through both of them. Does the graph of (1, - 2) lie on this line? 
A) No
B) Yes

Accepted Answer

To graph the points (-2, 4) and (2, -4), we plot them on a coordinate plane and draw a straight line passing through them.
 
The slope of this line can be calculated as:
slope = (change in y-coordinate)/(change in x-coordinate)
slope = (-4-4)/(2-(-2))
slope = -8/4
slope = -2

Using the slope-intercept form of a line, we can find the equation of this line as:
y = mx + b, where m is the slope and b is the y-intercept.
Using the point (-2, 4):
4 = (-2)(-2) + b
b = 0
Therefore, the equation of the line is:
y = -2x

To check if the point (1, -2) lies on this line, we substitute x=1 and y=-2 in the equation of the line:
-2 = -2(1)
-2 = -2
This is true, so the point (1, -2) lies on the line. Therefore, the answer is B.

Question 8

Graph the ordered pair. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the ordered pair. 
A) 
B) 
C)...

Question 9

Graph the ordered pair. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the ordered pair. 
A) 
B) 
C)...

Question 10

Give the coordinates of the point in the figure. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Give the coordinates of the point in...

Question 11

Draw a straight line that passes through the points (3, 4) and (3, -4). Is the graph of (0, 3) on this line? 
A) Yes
B) No

Accepted Answer

The line is vertical, passing through the x-coordinate of 3 but any point with an x-coordinate of 0 would not lie on this line. Therefore, (0,3) is not on this line.

Question 12

Graph the ordered pair. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the ordered pair. 
A) 
B) 
C)...

Question 13

Complete the ordered pair for the equation.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Complete the ordered pair for the equation....

Question 14

Graph the ordered pair. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Graph the ordered pair. 
A) 
B) 
C)...

Question 15

Complete the ordered pair for the equation.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The given hexadecimal numbers have a difference of 1 in the third position. Therefore, the missing ordered pair should also have a hexadecimal number with a difference of 1 in the third position. The only option with the correct difference is C, which has "83c1" in the third position.

Question 16

Complete the ordered pair for the equation.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Complete the ordered pair for the equation....

Question 17

Give the coordinates of the point in the figure.

Accepted Answer

The answer of Give the coordinates of the point in...

Question 18

Draw a straight line that passes through the points (3, 4) and (-3, 4). Is the graph of (0, 4) on this line? 
A) Yes
B) No

Accepted Answer

The equation of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by
$$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.$$
Substituting $(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(-3,4)$ in the above equation, we get
$$\frac{y-4}{x-3}=\frac{0}{-6}\implies x-3=0\implies x=3.$$
Thus, the equation of the line is $x=3,$ which is a vertical line passing through $(3,4)$ and $(-3,4).$ Since the $y$-coordinate of the point $(0,4)$ is also $4,$ it lies on this line.

Question 19

Jane takes a job at the local Marcy s department store. Her job pays $8.00 per hour. The graph shows how much Jane earns for working from 0 to 40 hours in a week.  If her check for one week is $160, how many hours did she work?
A) 10 hours
B) 25 hours
C) 20 hours
D) 35 hours
E) 22 hours

Accepted Answer

Using the graph, we can see that for 20 hours of work, Jane would earn $160. Therefore, the answer is choice letter C.

Question 20

Give the coordinates of the point in the figure.

Accepted Answer

The answer of Give the coordinates of the point in...

Quiz 3: Linear Equations and Inequalities in Two Variables

Graph the ordered pair.

Give the coordinates of the point in the figure.

Give the coordinates of the point in the figure.

Graph the ordered pair.

Give the coordinates of the point in the figure.

Graph the points (4, 3) and (-4, -1) and draw a straight line that passes through both of them. Does the graph of (0, - 2) lie on this line?

Graph the points (-2, 4) and (2, -4) and draw a straight line that passes through both of them. Does the graph of (1, - 2) lie on this line?

Graph the ordered pair.

Graph the ordered pair.

Give the coordinates of the point in the figure.

Draw a straight line that passes through the points (3, 4) and (3, -4) . Is the graph of (0, 3) on this line?

Graph the ordered pair.

Complete the ordered pair for the equation.

Graph the ordered pair.

Complete the ordered pair for the equation.

Complete the ordered pair for the equation.

Give the coordinates of the point in the figure.

Draw a straight line that passes through the points (3, 4) and (-3, 4) . Is the graph of (0, 4) on this line?

Jane takes a job at the local Marcy s department store. Her job pays $8.00 per hour. The graph shows how much Jane earns for working from 0 to 40 hours in a week. If her check for one week is $160, how many hours did she work?

Give the coordinates of the point in the figure.