Question 1

The point with coordinates x = -1 and y = 19 lies in the first quadrant.

Accepted Answer

The point with x = -1 cannot lie in the first quadrant as all points in the first quadrant have positive x and y coordinates.

Question 2

The ordered pair (3, -4)satisfies the equation y = $-$ 3 x + 5.

Accepted Answer

Substituting x=3 and y=-4 in the equation y = -3x + 5 gives:
-4 = -3(3) + 5
-4 = -9 + 5
-4 = -4
Since the left side is equal to the right side, the ordered pair (3, -4) satisfies the equation y = -3x + 5. Therefore, the answer is True (option A).

Question 3

Complete the solution of equation. $$y = \frac { 1 } { 7 } x - 3 , \quad ( 7 , ? )$$
A)2
B)-2
C)46
D)-46

Accepted Answer

B

Question 4

The charges for renting a CD are shown in the graph. Find the charge if the CD is kept for 7 days. 
A)$7
B)$6
C)$3
D)$5
E)$4

Accepted Answer

From the graph, we see that the charge for renting a CD for 7 days is $5. Therefore, the correct answer is Choice D.

Question 5

A student plotted three points that belong to the graph of a certain equation. Is this equation linear or nonlinear?
A)Nonlinear
B)Linear

Accepted Answer

Since the prompt does not give any information about the three plotted points or the equation itself, we cannot determine if the equation is linear or nonlinear. However, we do know that if the equation is linear, any two points on the graph would determine a unique line. Therefore, if the third point does not lie on this line, the equation must be nonlinear.  However, if all three points lie on the same line, then the equation is linear. Since we cannot determine this from the prompt, the best answer is A, indicating that it is uncertain whether the equation is linear or nonlinear.

Question 6

Refer to the line graph. At what times (A, B, C or D)do you find the following conditions: runner 1 running and runner 2 running? 
A)A and C
B)A and D
C)A only
D)A and B
E)B and C

Accepted Answer

The answer of Refer to the line graph. At what...

Question 7

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $$( - 14 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 )$$
A)  Yes
B)  No
C)  No
D)  Yes

Accepted Answer

The answer of Plot the points on a rectangular coordinate...

Question 8

To plot the point with coordinates (38,-83)we:
A)start at the origin and move 38 units to the left and then move 83 units up.
B)start at the origin and move 38 units to the left and then move 83 units down.
C)start at (1,1)and move 38 units to the right and then move 83 units down.
D)start at the origin and move 38 units to the right and then move 83 units up.
E)start at the origin and move 38 units to the right and then move 83 units down.

Accepted Answer

The correct way to plot the point (38, -83) is to start at the origin (0,0), move 38 units to the right along the x-axis (since the x-coordinate is positive), and then move 83 units down along the y-axis (since the y-coordinate is negative).

Question 9

Scoliosis is a lateral curvature of the spine that can be more easily detected when a grid is superimposed over an X ray. Select the ordered pair that is not one of the "center points" of the labeled vertebrae. Note that T3 means the third thoracic vertebra, L4 means the fourth lumbar vertebra, and so on. 
A) $( - 1 , - 5 )$
B) $( - 2,3 )$
C)(3,10)
D)(3,16)
E)(0,0)

Accepted Answer

The answer of Scoliosis is a lateral curvature of the...

Question 10

Refer to the line graph. In approximately what year did miners begin to earn more than construction workers? 
A)in 1984
B)in 1982
C)in 1988
D)in 1985
E)in 1990

Accepted Answer

According to the graph, the line for miners crosses the line for construction workers in approximately 1988, indicating that miners began to earn more than construction workers in that year.

Question 11

The graph below shows the value y (in thousands of dollars)of a car that is x years old. Is it true that the value of a car that is 3 years old is $6,000?

Accepted Answer

The answer of The graph below shows the value y...

Question 12

Complete the solution of equation. $$y = 4 x - 3 , \quad ( 2 , ? )$$
A)14
B)11
C)8
D)7

Accepted Answer

To find the missing y-coordinate, we substitute x = 2 into the given equation:
y = 4(2) - 3 = 8 - 3 = 5
Therefore, the missing point is (2, 5). To check, we can verify that this point lies on the line y = 4x - 3:
5 = 4(2) - 3
5 = 8 - 3
5 = 5
Since the point (2, 5) satisfies the equation of the line, we can be sure that B) 11 is the correct answer.

Question 13

The graph below gives the heart rate of a woman before, during and after an aerobic workout. Is it true that her heart rate 40 minutes after beginning her workout was 150?

Accepted Answer

The answer of The graph below gives the heart rate...

Question 14

Complete the solution of equation. $$y = - 5 x + 3 , \quad ( - 2 , ? )$$
A)-17
B)13
C)10
D)-2

Accepted Answer

To find the missing coordinate, we can plug in the given x-value of -2 into the equation and solve for y.

$y = -5x + 3$
$y = -5(-2) + 3$
$y = 13$

Therefore, the missing coordinate is ( -2, 13 ). So, the answer is choice B.

Question 15

To correct her swing, a golfer is videotaped and then has her image displayed on a computer monitor so that it can be analyzed by a golf pro. Refer to the illustration to find the $y$ -coordinate of the highlighted point where the $x$ -coordinate is -5.  __________ units

Accepted Answer

The answer of To correct her swing, a golfer is...

Question 16

The graph shows the relationship between the percent P of those surveyed who rated their senator's job performance as satisfactory or better and the time t she had been in office.  When did her job performance rating reach a maximum? __________ months after election

Accepted Answer

The answer of The graph shows the relationship between the...

Question 17

The charges for renting a video are shown in the graph. Find the charge if the video is kept for 6 days. 
A)$5
B)$9
C)$6
D)$8
E)$7

Accepted Answer

The answer of The charges for renting a video are...

Question 18

The graph shown gives the first-class postage rates in the year 1999 for mailing items weighing up to 5 ounces. According to the graph, which of the statements is incorrect? Weight (oz)and Postage Rate (cents) 
A)The postage cost for mailing a 2-ounce letter is 55 cents  .
B)The heaviest letter that could be mailed for 80 cents first class weighs 2 ounces.
C)The postage cost for mailing a 1-ounce letter is 33 cents.
D)The difference in postage for a 3.16-ounce letter and a 4.37-ounce letter is 20 cents  .
E)The postage cost for mailing a 4-ounce letter is $1.00.

Accepted Answer

From the graph, we can see that the postage rate for a 2-ounce letter is 70 cents, not 55 cents as stated in statement A. All the other statements are true according to the graph. However, statement B is contradictory to the graph as the heaviest letter that can be mailed for 80 cents first class actually weighs 3 ounces, not 2 ounces.

Question 19

The graph below shows how the path of a stream of water changes when the hose is held at two different angles. The stream shot up higher at the $80 ^ { \circ }$ angle.

Accepted Answer

As per the graph, it is evident that the stream shot up higher at the $80 ^ { \circ }$ angle, so the statement is true.

Question 20

The graph, given below, shows the relationship between the market value v of a house and the time t since it was purchased. When did the value of the house reach its lowest point?  __________ years after purchase

Accepted Answer

The answer of The graph, given below, shows the relationship...

Quiz 3: Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

The point with coordinates x = -1 and y = 19 lies in the first quadrant.

The ordered pair (3, -4)satisfies the equation y = $-$ 3 x + 5.

Complete the solution of equation. $y = \frac { 1 } { 7 } x - 3 , \quad ( 7 , ? )$

The charges for renting a CD are shown in the graph. Find the charge if the CD is kept for 7 days.

A student plotted three points that belong to the graph of a certain equation. Is this equation linear or nonlinear?

Refer to the line graph. At what times (A, B, C or D) do you find the following conditions: runner 1 running and runner 2 running?

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( - 14 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 )$

To plot the point with coordinates (38,-83) we:

Refer to the line graph. In approximately what year did miners begin to earn more than construction workers?

The graph below shows the value y (in thousands of dollars)of a car that is x years old. Is it true that the value of a car that is 3 years old is $6,000?

Complete the solution of equation. $y = 4 x - 3 , \quad ( 2 , ? )$

The graph below gives the heart rate of a woman before, during and after an aerobic workout. Is it true that her heart rate 40 minutes after beginning her workout was 150?

Complete the solution of equation. $y = - 5 x + 3 , \quad ( - 2 , ? )$

To correct her swing, a golfer is videotaped and then has her image displayed on a computer monitor so that it can be analyzed by a golf pro. Refer to the illustration to find the $y$ -coordinate of the highlighted point where the $x$ -coordinate is -5. __________ units

The graph shows the relationship between the percent P of those surveyed who rated their senator's job performance as satisfactory or better and the time t she had been in office. When did her job performance rating reach a maximum? __________ months after election

The charges for renting a video are shown in the graph. Find the charge if the video is kept for 6 days.

The graph shown gives the first-class postage rates in the year 1999 for mailing items weighing up to 5 ounces. According to the graph, which of the statements is incorrect? Weight (oz) and Postage Rate (cents)

The graph, given below, shows the relationship between the market value v of a house and the time t since it was purchased. When did the value of the house reach its lowest point? __________ years after purchase

Quiz 3: Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

The point with coordinates x = -1 and y = 19 lies in the first quadrant.

The ordered pair (3, -4)satisfies the equation y = −-− 3 x + 5.

Complete the solution of equation. y=17x−3,(7,?) y = \frac { 1 } { 7 } x - 3 , \quad ( 7 , ? ) y=71​x−3,(7,?)

The charges for renting a CD are shown in the graph. Find the charge if the CD is kept for 7 days.

A student plotted three points that belong to the graph of a certain equation. Is this equation linear or nonlinear?

Refer to the line graph. At what times (A, B, C or D) do you find the following conditions: runner 1 running and runner 2 running?

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. (−14) ,(−4,1) ,(−5,0) ,(−6,−1) ( - 14 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 ) (−14) ,(−4,1) ,(−5,0) ,(−6,−1)

To plot the point with coordinates (38,-83) we:

Refer to the line graph. In approximately what year did miners begin to earn more than construction workers?

The graph below shows the value y (in thousands of dollars)of a car that is x years old. Is it true that the value of a car that is 3 years old is $6,000?

Complete the solution of equation. y=4x−3,(2,?) y = 4 x - 3 , \quad ( 2 , ? ) y=4x−3,(2,?)

The graph below gives the heart rate of a woman before, during and after an aerobic workout. Is it true that her heart rate 40 minutes after beginning her workout was 150?

Complete the solution of equation. y=−5x+3,(−2,?) y = - 5 x + 3 , \quad ( - 2 , ? ) y=−5x+3,(−2,?)

To correct her swing, a golfer is videotaped and then has her image displayed on a computer monitor so that it can be analyzed by a golf pro. Refer to the illustration to find the yyy -coordinate of the highlighted point where the xxx -coordinate is -5. __________ units

The graph shows the relationship between the percent P of those surveyed who rated their senator's job performance as satisfactory or better and the time t she had been in office. When did her job performance rating reach a maximum? __________ months after election

The charges for renting a video are shown in the graph. Find the charge if the video is kept for 6 days.

The graph shown gives the first-class postage rates in the year 1999 for mailing items weighing up to 5 ounces. According to the graph, which of the statements is incorrect? Weight (oz) and Postage Rate (cents)

The graph below shows how the path of a stream of water changes when the hose is held at two different angles. The stream shot up higher at the 80∘80 ^ { \circ }80∘ angle.

The graph, given below, shows the relationship between the market value v of a house and the time t since it was purchased. When did the value of the house reach its lowest point? __________ years after purchase

The ordered pair (3, -4)satisfies the equation y = $-$ 3 x + 5.

Complete the solution of equation. $y = \frac { 1 } { 7 } x - 3 , \quad ( 7 , ? )$

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( - 14 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 )$

Complete the solution of equation. $y = 4 x - 3 , \quad ( 2 , ? )$

Complete the solution of equation. $y = - 5 x + 3 , \quad ( - 2 , ? )$

To correct her swing, a golfer is videotaped and then has her image displayed on a computer monitor so that it can be analyzed by a golf pro. Refer to the illustration to find the $y$ -coordinate of the highlighted point where the $x$ -coordinate is -5. __________ units