Deck 2: Graphs, Equations of Lines, and Functions

Question 1

Find the midpoint of line segment PQ .
$P ( 2,4 ) , Q ( 6 , - 4 )$

A) (-4,0)
B) (4,0)
C) (0,0)
D) (-2,-4)
E) (0,4)

Answer 1

(4,0)

Question 2

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

A) surfacing
B) diving

Answer 2

diving

Question 3

Give the coordinates of the point .

A)
B)
C)
D)
E)

Answer 3

Question 4

The point (0, 0) is the __________.

A) origin
B) midpoint
C) rectangular coordinate system
D) endpoint
E) quadrant

Question 5

Plot the point on the rectangular coordinate system. $( - 2.5 , - 2 )$

A)
The point lies in quadrant III.
B) The point lies in quadrant I.
C)
The point lies in quadrant II.
D)
The point lies in quadrant II.
E) The point lies in quadrant III.

Question 6

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

A) midpoint
B) quadrant
C) endpoint
D) origin
E) rectangular coordinate system

Question 7

Find the midpoint of line segment PQ . $P ( - 4 , - 2 ) , Q ( 3,6 )$

A) $\left( \frac { 1 } { 2 } , - 2 \right)$
B) $\left( \frac { 1 } { 3 } , 2 \right)$
C) $\left( 2 , - \frac { 1 } { 2 } \right)$
D) (-4,2)
E) $\left( - \frac { 1 } { 2 } , 2 \right)$

Question 8

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. $( 4 , - 3 )$

A) The point lies in quadrant IV.
B) The point lies in quadrant III.
C) The point lies in quadrant III.
D) The point lies in quadrant IV.
E) The point lies in quadrant III.

Question 9

Give the coordinates of the point .

A)
B)
C)
D)
E)

Question 10

In which quadrant do points with a positive x -coordinate and a negative y -coordinate lie?

A) III
B) I
C) II
D) IV

Question 11

If a line segment joins points P and Q , points P and Q are called __________ of the segment.

A) origins
B) quadrants
C) endpoints
D) midpoints
E) coordinates

Question 12

The graph in the following illustration shows the depths of a submarine at certain times. Where is the sub 2 hours after launch?

A) -500 ft
B) 1000ft
C) 500ft
D) -1000ft
E) $\text { on the surface }$

Question 13

The x - and y -axes divide the coordinate plane into four regions called __________.

A) midpoints
B) coordinates
C) origins
D) endpoints
E) quadrants

Question 14

The graph in the following illustration shows the depths of a submarine at certain times. How large an ascent does the sub begin to make 7 hours after launch? __________ feet

A)
B)
C)
D)
E)

Question 15

In which quadrant do points with a negative x -coordinate and a positive y -coordinate lie?

A) I
B) III
C) IV
D) II

Question 16

Find the midpoint of line segment PQ . $P ( - 2 , - 4 ) , Q ( - 10,7 )$

A) (-6,1.5)
B) (-1.5,-1.5)
C) (10,7)
D) (6,1.5)
E) (1.5,-6)

Question 17

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. $( - 3,2 )$

A) The point lies in quadrant III.
B) The point lies in quadrant III.
C) The point lies in quadrant III.
D)
The point lies in quadrant II.
E) The point lies in quadrant II.

Question 18

The graph in the following illustration shows the depths of a submarine at certain times. For how long does the submarine travel at a depth of 1,000 feet? __________ hours

A)
B)
C)
D)
E)

Question 19

Give the coordinates of the point .

A)
B)
C)
D)
E)

Question 20

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. $( 3.5 , - 3 )$

A) The point lies in quadrant II.
B) The point lies in quadrant III.
C)
The point lies in quadrant III.
D)
The point lies in quadrant IV.
E) The point lies in quadrant II.

Question 21

The point is located

A) two units to the right of the origin and then up five units.
B) five units to the left of the origin and then down two units.
C) two units to the left of the origin and then up five units.
D) two units to the right of the origin and then down five units.

Question 22

Find the midpoint of the line segment with endpoints and .

A)
B)
C)
D)

Question 23

The graph in the following illustration shows the depths of a submarine at certain times. How large an ascent does the sub begin to make 6 hours after launch?
__________ feet

Question 24

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Question 25

The point (0, 0) is the __________.

Question 26

If is the midpoint of segment PQ and the coordinates of P are , find the coordinates of Q .

A)
B)
C)
D)
E)

Question 27

Plot on a rectangular coordinate system and name the quadrant or axis in which it lies.

A) y -axis
B) x -axis
C) y -axis
D) x -axis

Question 28

In which quadrant is the point located?

A) Quadrant IV
B) Quadrant I
C) Quadrant III
D) Quadrant II

Question 29

The x - and y -axes divide the coordinate plane into four regions called __________.

Question 30

Plot on a rectangular coordinate system and name the quadrant or axis in which the point lies.

A) x -axis
B) y -axis
C) x -axis
D) y -axis

Question 31

In which quadrant is the point located?

A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV

Question 32

U.S. POSTAGE The graph shown below gives the first-class postage rates in 2007 for mailing letters weighing up to 5 ounces. In the graph, the parallel lines crossing the vertical axis are a symbol which indicates a break in the labeling of the axis. The break enables us to omit a large portion of the grid that would not be used. Find the cost of postage to mail a 1-oz letter. __________ cents

Question 33

Tiger Woods came back in the final 18 holes of the 2000 AT T Pebble Beach National Pro-Am golf tournament to overtake the leader, Matt Gogel. Refer to the graph below. (In golf, the player with the score that is the farthest under par is the winner.) At the beginning of the final round, by how many strokes did Gogel lead Woods?

A) 7 strokes
B) 8 strokes
C) 4 strokes
D) 3 strokes
E) 2 strokes

Question 34

If $\left( - \frac { 5 } { 2 } , 5 \right)$ is the midpoint of segment PQ and the coordinates of Q are (3,6) , find the coordinates of P.

A) $\left( \frac { 1 } { 4 } , \frac { 11 } { 2 } \right)$
B) (8,-8)
C) (-8,4)
D) (-8,12)

Question 35

The point is located

A) 4 units to the left of the origin on the x -axis.
B) 4 units to the right of the origin on the x -axis.
C) down 4 units from the origin on the y -axis.
D) up 4 units from the origin on the y -axis.

Question 36

If a line segment joins points P and Q , points P and Q are called __________ of the segment.

Question 37

The graph in the following illustration shows the depths of a submarine at certain times. For how long does the submarine travel at a depth of 1,500 feet?
__________ hours

Question 38

If $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$ is the midpoint of segment PQ and the coordinates of P are (5,1) , find the coordinates of Q .

A) (-10,2)
B) (10,-2)
C) (0,4)
D) none of these

Question 39

U.S. POSTAGE The graph shown below gives the first-class postage rates in 2007 for mailing letters weighing up to 5 ounces. In the graph, the parallel lines crossing the vertical axis are a symbol which indicates a break in the labeling of the axis. The break enables us to omit a large portion of the grid that would not be used. Find the cost of postage to mail a 5-oz letter.

A) 106 cents
B) 37 cents
C) 60 cents
D) 129 cents
E) 83 cents

Question 40

If is the midpoint of segment PQ and the coordinates of P are , find the coordinates of Q.

A)
B)
C)
D)

Question 41

The horizontal number line is called the __________.

Question 42

The vertical number line is called the __________.

Question 43

For the line segment with end points at , six points divide this segment into seven equal parts. Find the coordinates of the point closest to the endpoint .

Question 44

The graph in the following illustration shows the depths of a submarine at certain times. Where is the sub 2 hours after launch?

Question 45

Tiger Woods came back in the final 18 holes of the 2000 AT T Pebble Beach National Pro-Am golf tournament to overtake the leader, Matt Gogel. Refer to the graph below. (In golf, the player with the score that is the farthest under par is the winner.) At the beginning of the final round, by how many strokes did Gogel lead Woods?
__________ strokes What was the largest lead that Gogel had over Woods in the final round?
__________ strokes On what hole did Woods tie up the match?
__________ th On what hole did Woods take the lead?
__________ th

Question 46

The graph in the following illustration shows the depths of a submarine at certain times. What is the sub doing as t increases from 1 to 2?

Question 47

In which quadrant do points with a positive x -coordinate and a negative y -coordinate lie?

Question 48

Ordered pairs of numbers can be graphed on a(n) __________ coordinate system.

Question 49

Consider the linear equation $6 x - 4 y = - 12$ . Find the y -intercept of its graph.

A) (2,0)
B) (0,-3)
C) ( 0, 2 )
D) ( 0, 3 )
E) (-2 , 0 )

Question 50

Find the midpoint of line segment PQ .

Question 51

If is the midpoint of segment PQ and the coordinates of P are , find the coordinates of Q .

Question 52

Give the coordinates of point .

Question 53

Refer to the graph.

What are the intercepts of the line?

A) $( 2,0 ) : ( 0,4 )$
B) $( - 2,0 ) : ( 0,4 )$
C) $( 0,2 ) : ( - 4,0 )$
D) $( 0 , - 2 ) : ( 4,0 )$
E) $( - 2,0 ) : ( 0 , - 4 )$

Question 54

If is the midpoint of segment PQ and the coordinates of P are . Find the coordinates of Q in terms of a and b .

Question 55

Consider the linear equation $6 x - 10 y = - 30$ . Find the x -intercept of its graph.

A) (-5,0)
B) (0,3)
C) (0,-3)
D) (5,0)
E) (0,5)

Question 56

Give the coordinates of point .

Question 57

Find the midpoint of line segment PQ .

Question 58

In which quadrant do points with a negative x -coordinate and a positive y -coordinate lie?

Question 59

Give the coordinates of point .

Question 60

Find the midpoint of line segment PQ .

Question 61

Graph the equation. $y = - 4 x + 1$

A)
B)
C)
D)
E)

Question 62

Graph the equation. $y = 4$

A)
B)
C)
D)
E)

Question 63

Graph the equation. $y - 4 = 0$

A)
B)
C)
D)
E)

Question 64

Graph the equation. $y = 2 x$

A)
B)
C)
D)
E)

Question 65

Graph the equation. $x = - 4$

A)
B)
C)
D)
E)

Question 66

Write the equation in $x = a$ form. $- 2 x + 7 = 13$

A) $x = 2$
B) $x = - 3$
C) $x = - 2$
D) $x = 3$
E) $x = - 1$

Question 67

Find the x -intercept for $7 x - 5 = 6 y$ .

A) $\left( - \frac { 6 } { 5 } , 0 \right)$
B) $\left( - \frac { 5 } { 7 } , 0 \right)$
C) $\left( \frac { 5 } { 7 } , 0 \right)$
D) $\left( - \frac { 5 } { 6 } , 0 \right)$

Question 68

Graph the equation using the intercept method. Label the intercepts on the graph. $3 x + 4 y - 8 = 0$

A)
B)
C)
D)
E)

Question 69

The graph of $3 y - 8 = 7$ is

A) the point (0,5) .
B) a vertical line that passes through the point (0,5) .
C) a horizontal line that passes through the point (0,15).
D) a horizontal line that passes through the point (0,5) .

Question 70

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

A) (-1,2)
B) (-4,23)
C) (1,2)
D) (-5,-6)

Question 71

Consider the linear equation $6 x - 4 y = - 12$ . Does its graph pass through ( 4,6) ?

A) no
B) yes

Question 72

Determine whether the given ordered pair is a solution of $y = - 5 x - 3$ . (-1,8)

A) yes
B) no

Question 73

Find the x -intercept and y -intercept for $- 14 x - 2 = 3 y$

A) x -intercept: (-7,0) ; y -intercept: $\left( 0 , - \frac { 3 } { 2 } \right)$
B) x -intercept: $\left( 0 , - \frac { 1 } { 7 } \right)$ ; y -intercept: $\left( - \frac { 2 } { 3 } , 0 \right)$
C) x -intercept: (0,7) ; y -intercept: $\left( \frac { 3 } { 2 } , 0 \right)$
D) x -intercept: $\left( - \frac { 1 } { 7 } , 0 \right)$ ; y -intercept: $\left( 0 , - \frac { 2 } { 3 } \right)$

Question 74

Which of the following ordered pairs is a solution of $y = \frac { 1 } { 4 } x + 5$ ?

A) $\left( 1 , \frac { 5 } { 4 } \right)$
B) (-4,6)
C) $\left( - 1 , \frac { 19 } { 4 } \right)$
D) $\left( - \frac { 1 } { 2 } , \frac { 41 } { 8 } \right)$

Question 75

Determine whether the ordered pair is a solution of the equation. $y = - 2 x - 5$ (3,-11)

A) no
B) yes

Question 76

Graph the equation using the intercept method. Label the intercepts on the graph. $2 y = 4 x - 6$

A)
B)
C)
D)
E)

Question 77

Determine whether the given ordered pair is a solution of $3 x - 5 y = 11$ . (2,-1)

A) yes
B) no

Question 78

Graph the equation using the intercept method. Label the intercepts on the graph. $2 x + 3 y = 6$

A)
B)
C)
D)
E)

Question 79

Determine whether the given ordered pair is a solution of $3 x - 5 y = 11$ . (-4,2)

A) yes
B) no

Question 80

Graph the equation using the intercept method. Label the intercepts on the graph. $2 x - 3 y = 6$

A)
B)
C)
D)
E)