Deck 3: Graphing Linear Equations

Question 1

Decide whether or not the ordered pair is a solution of the equation.

- $(5,5), 2 x+y=15$

Answer 1

True

Question 2

Decide whether or not the ordered pair is a solution of the equation.

- $(2,2), 5 x+2 y=14$

Answer 2

True

Question 3

Decide whether or not the ordered pair is a solution of the equation.

- $(2,5), 4 x-5 y=33$

Answer 3

False

Question 4

Decide whether or not the ordered pair is a solution of the equation.

- $(4,2), 2 x+11 y=30$

Question 5

Decide whether or not the ordered pair is a solution of the equation.

- $(1,5), 12 x-14 y=-58$

Question 6

Decide whether or not the ordered pair is a solution of the equation.

- $(-7,0),-6 x+y=-42$

Question 7

Decide whether or not the ordered pair is a solution of the equation.

- $(0,5), 5 x-4 y=20$

Question 8

Plot the points on the rectangular coordinate plane.

- $(5,6),(-2,5)$

A)


B)


C)


D)

Question 9

Plot the points on the rectangular coordinate plane.

- $(3,-4),(-5,2)$

A)


B)


C)


D)

Question 10

Plot the points on the rectangular coordinate plane.

- $(-4,-3),(-3,4)$

A)

B)

C)

D)

Question 11

Plot the points on the rectangular coordinate plane.

- $(1,1),(4,-3)$

A)

B)

C)

D)

Question 12

Plot the points on the rectangular coordinate plane.

- $(5,4),(-6,-2)$

A)

B)

C)

D)

Question 13

Plot the points on the rectangular coordinate plane.

- $(5,0),(0,4)$

A)

B)

C)

D)

Question 14

Plot the points on the rectangular coordinate plane.

- $(0,1),(6,0)$

A)

B)

C)

D)

Question 15

Plot the points on the rectangular coordinate plane.

- $\left(-\frac{3}{2},-5\right),(-5,2)$

A)

B)

C)

D)

Question 16

A) $\mathrm{A}(6,28)$ ; $\mathrm{B}(1,-6)$
B) $\mathrm{A}(6,6)$ ; $\mathrm{B}(1,-6)$
C) $\mathrm{A}(6,1) ; \mathrm{B}(6,1)$
D) $\mathrm{A}(6,6)$ ; $\mathrm{B}(-6,1)$

Question 17

A) $C(5,6)$ ; $D(-5,2)$
B) $C(-5,5)$ ; $\mathrm{D}(2,-5)$
C) $C(-5,5)$ ; $D(-5,2)$
D) $C(-5,-5)$ ; $D(5,-5)$

Question 18

A) $\mathrm{E}(-4,5)$ ; $\mathrm{G}(-5,-6)$
B) $\mathrm{E}(-4,-6)$ ; $\mathrm{G}(5,-6)$
C) $\mathrm{E}(5,8)$ ; $\mathrm{G}(-6,-5)$
D) $\mathrm{E}(-4,5)$ ; $\mathrm{G}(-6,-5)$

Question 19

A) $\mathrm{G}(-3,26)$ ; $\mathrm{H}(7,-2)$
B) $\mathrm{G}(5,-3)$ ; $\mathrm{H}(7,-2)$
C) $\mathrm{G}(5,7)$ ; $\mathrm{H}(-3,7)$
D) $\mathrm{G}(5,-3)$ ; $\mathrm{H}(-2,7)$

Question 20

A) $\mathrm{A}(-6,6)$ ; $\mathrm{B}(3,-6)$
B) $\mathrm{A}(-6,0)$ ; $\mathrm{B}(3,-6)$
C) $\mathrm{A}(6,0)$ ; $\mathrm{B}(3,-6)$
D) $\mathrm{A}(-6,0)$ ; $\mathrm{B}(-3,-6)$

Question 21

A) $\mathrm{A}(4,1)$ ; $\mathrm{B}(0,-6)$
B) $\mathrm{A}(-4,1)$ ; $\mathrm{B}(0,6)$
C) $\mathrm{A}(4,1)$ ; $\mathrm{B}(0,6)$
D) $\mathrm{A}(4,-1)$ ; $\mathrm{B}(1,-6)$

Question 22

A) $\mathrm{C}(-35,-25)$ ; $\mathrm{D}(-10,-40)$
B) $\mathrm{C}(-25,-35)$ ; $\mathrm{D}(-40,-10)$
C) $\mathrm{C}(-35,25)$ ; $\mathrm{D}(-10,40)$
D) $C(25,-35)$ ; $D(40,-10)$

Question 23

A) $\mathrm{C}\left(2,-\frac{1}{2}\right) ; \mathrm{D}\left(-1,-\frac{7}{2}\right)$
B) $\mathrm{C}\left(-\frac{1}{2}, 2\right)$ ; $\mathrm{D}\left(-\frac{7}{2},-1\right)$
C) $\mathrm{C}\left(2, \frac{1}{2}\right) ; \mathrm{D}\left(-1, \frac{7}{2}\right)$
D) $\mathrm{C}\left(\frac{1}{2}, 2\right) ; \mathrm{D}\left(\frac{7}{2},-1\right)$

Question 24

Determine which quadrant (I, II, III, or IV) the point is located in.

- $(17,20)$

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

Question 25

Determine which quadrant (I, II, III, or IV) the point is located in.

- $(-18,2)$

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

Question 26

Determine which quadrant (I, II, III, or IV) the point is located in.

- $(-4,-13)$

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

Question 27

Determine which quadrant (I, II, III, or IV) the point is located in.

- $(9,-16)$

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

Question 28

Determine which quadrant (I, II, III, or IV) the point is located in.

- $\left(-\frac{1}{2}, \frac{1}{3}\right)$

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

Question 29

Determine which quadrant (I, II, III, or IV) the point is located in.

- $(400,-200)$

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

Question 30

Plot the ordered pairs associated with the given data. (Let the first row be $x$ and the second row be $y$ .)

-Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied.
$\begin{array}{l|ccccc}\text { Time }(\mathrm{sec}) & 2 & 4 & 6 & 8 & 10 \\\hline \text { Speed }(\text { mph }) & 47 & 32 & 22 & 12 & 7 \\\hline\end{array}$

A)

B)
C)
D)

Question 31

Plot the ordered pairs associated with the given data. (Let the first row be $x$ and the second row be $y$ .)

-The table below shows the number of bacteria cells (in 1000s) counted $x$ minutes after the start of an experiment.
$\begin{array}{l|ccccc}\text { Time }(\mathrm{min}) & 15 & 20 & 25 & 30 & 35 \\\hline \text { Cells }(1000 s) & 6 & 10 & 18 & 28 & 52 \\\hline\end{array}$

A)

B)

C)

D)

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation.

Question 32

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $4 x+y=-9,(0$ ,____)

A) -3
B) -36
C) -13
D) -9

Question 33

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $9 x+y=-48$ , (____,-48)

A) 0
B) 9
C) -6
D) -432

Question 34

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $8 x+4 y=4$ , (1,___)

A) 3
B) 1
C) -1
D) 0

Question 35

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $-2 x+8 y=-8$ , (______ ,-1)

A) 8
B) $-\frac{5}{4}$
C) 0
D) $\frac{5}{4}$

Question 36

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $4 x-6 y=-32,(-5$ ,____)

A) 2
B) - 12
C) 12
D) - 2

Question 37

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $-4 x-5 y=-45,(5$ ,____)

A) 25
B) 5
C) -5
D) -25

Question 38

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $2 x+\frac{1}{7} y=-3$ , ( _____,-7)

A) 2
B) - 1
C) -2
D) 1

Question 39

Using the given coordinate, find the other coordinate that makes the ordered pair a solution of the equation

- $\frac{1}{5} x+3 y=9,(-15$ ,____)

A) -12
B) $\frac{3}{4}$
C) 4
D) 12

Question 40

Complete the table with ordered pairs that are solutions.

- $4 x+y=22$
$\begin{array}{r|r}\mathrm{x} & \mathrm{y} \\\hline-6 & \\0 & \\1 &\end{array}$

A)
$\begin{array}{r|c}\mathrm{x} & \mathrm{y} \\\hline-6 & -6 \\0 & -22 \\1 & -26\end{array}$
B)
$\begin{array}{r|r}x & y \\\hline-6 & 2 \\0 & -22 \\1 & -26\end{array}$
C)
$\begin{array}{r|r}x & y \\\hline-6 & 2 \\0 & -26 \\1 & -26\end{array}$
D)
$\begin{array}{r|r} x & y \\\hline-6 & 2 \\0 & 0 \\1 & -26\end{array}$

Question 41

Complete the table with ordered pairs that are solutions.

- $y=-x+6$
$\begin{array}{l|l}\mathrm{x} & \mathrm{y} \\\hline 4 & \\6 & \\0 &\end{array}$

A)
$\begin{array}{l|l}x & y \\\hline 4 & 2 \\6 & 2 \\0 & 6\end{array}$
B)
$\begin{array}{c|c}\mathrm{x} & \mathrm{y} \\\hline 4 & 2 \\6 & 0 \\0 & 6\end{array}$
C)
$\begin{array}{l|l}x & y \\\hline 4 & 4 \\6 & 6 \\0 & 0\end{array}$
D)
$\begin{array}{l|l}x & y \\\hline 4 & 8 \\6 & 0 \\0 & 6\end{array}$

Question 42

Complete the table with ordered pairs that are solutions.

- $6 x+y=-52$ $\begin{array}{c|c}\mathrm{x} & \mathrm{y} \\\hline-9 & \\& -52 \\1 &\end{array}$

A)
$\begin{array}{r|r}x & y \\\hline-9 & -9 \\0 & -52 \\1 & -58\end{array}$
B)
$\begin{array}{r|r}x & y \\\hline-9 & 2 \\-52 & 0 \\1 & -58\end{array}$
C)
$\begin{array}{r|r}x & y \\\hline-9 & 2 \\0 & -56 \\1 & -58\end{array}$
D)
$\begin{array}{r|r}x & y \\\hline-9 & 2 \\0 & -52 \\1 & -58\end{array}$

Question 43

Complete the table with ordered pairs that are solutions.

- $x-2 y=4$
$\begin{array}{l|l}\mathrm{x} & \mathrm{y} \\\hline 0 & \\& 0 \\2 &\end{array}$

A)
$\begin{array}{c|c}x & y \\\hline 0 & -2 \\-4 & 0 \\2 & 2\end{array}$
B)
$\begin{array}{c|c}x & y \\\hline 0 & -2 \\4 & 0 \\2 & -1\end{array}$
C)
$\begin{array}{c|c}x & y \\\hline-2 & 0 \\4 & 0 \\2 & 2\end{array}$
D)
$\begin{array}{c|c}x & y \\\hline 0 & 2 \\4 & 0 \\2 & 1\end{array}$

Question 44

Complete the table with ordered pairs that are solutions.

- $y=4 x-7$
$\begin{array}{l|l}\mathrm{x} & \mathrm{y} \\\hline 0 & \\2 & \\4 &\end{array}$

A)
$\begin{array}{c|c}\mathrm{x} & \mathrm{y} \\\hline 0 & 7 \\2 & 1 \\4 & 9\end{array}$
B)
$\begin{array}{r|r}x & y \\\hline 0 & 7 \\2 & 15 \\4 & 23\end{array}$
C)
$\begin{array}{l|l}x & y \\\hline 0 & -7 \\2 & 15 \\4 & 23\end{array}$
D)
$\begin{array}{c|r}x & y \\\hline 0 & -7 \\2 & 1 \\4 & 9\end{array}$

Question 45

Complete the table with ordered pairs that are solutions.

- $y=\frac{1}{4} x-2$
$\begin{array}{r|r}x & y \\\hline-4 & \\0 & \\8 &\end{array}$

A)
$\begin{array}{r|l}\mathrm{x} & \mathrm{y} \\\hline-4 & 1 \\0 & 2 \\8 & 0\end{array}$
B)
$\begin{array}{r|r}\mathrm{x} & \mathrm{y} \\\hline-4 & -3 \\0 & -2 \\8 & 0\end{array}$
C)
$\begin{array}{r|r}x & y \\\hline-4 & 4 \\0 & 2 \\8 & 4\end{array}$
D)
$\begin{array}{r|r}\mathrm{x} & \mathrm{y} \\\hline-4 & -1 \\0 & -2 \\8 & 4\end{array}$

Question 46

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $y=2 x+4$

A)

B)

C)

D)

Question 47

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $y=4 x-3$

A)

B)

C)

D)

Question 48

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $y=-3 x$

A)

B)

C)

D)

Question 49

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $y=\frac{1}{5} x$

A)

B)

C)

D)

Question 50

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $y=\frac{5}{3} x-2$

A)

B)

C)

D)

Question 51

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $y=-\frac{2}{3} x-3$

A)

B)

C)

D)

Question 52

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $2 x-y=2$

A)

B)

C)

D)

Question 53

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $4 \mathrm{y}-24 \mathrm{x}=24$

A)

B)

C)

D)

Question 54

Find three ordered pairs that are solutions of the given linear equation, and use them to graph the equation.

- $-7 x+y=0$

A)

B)

C)

D)

Question 55

Find the $x$ - and $y$ -intercepts from the graph. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

-

A) $(0,-1),(-7,0)$
B) $(-7,-1),(0,0)$
C) $(0,0),(-1,-7)$
D) $(0,-7),(-1,0)$

Question 56

Find the $x$ - and $y$ -intercepts from the graph. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

-

A) $(0,0),(-6,-3)$
B) $(0,-3),(-6,0)$
C) $(0,-6),(-3,0)$
D) $(-3,-6),(0,0)$

Question 57

Find the $x$ - and $y$ -intercepts from the graph. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

-

A) $(0,1),(-3,0)$
B) $(0,-3),(1,0)$
C) $(0,0),(-3,1)$
D) $(1,-3),(0,0)$

Question 58

Find the $x$ - and $y$ -intercepts from the graph. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

-

A) $(-8,0)$ , No y- intercept
B) (0, - 8), No y-intercept
C) No $x$ -intercept, $(0,-8)$
D) No $x$ - intercept, $(-8,0)$

Question 59

Find the $x$ - and $y$ -intercepts from the graph. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

-

A) No $x$ -intercept, $(0,7)$
B) No $x$ -intercept, $(7,0)$
C) $(0,7)$ , No y-intercept
D) $(7,0)$ , No y-intercept

Question 60

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

-x-y=-19

A) $(-19,0),(0,19)$
B) $(19,0),(0,-19)$
C) $(19,0),(0,19)$
D) $(-19,0),(0,-19)$

Question 61

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $6 x+7 y=42$

A) $(-7,0),(0,-6)$
B) $(7,0),(0,-6)$
C) $(7,0),(0,6)$
D) $(6,0),(0,7)$

Question 62

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $5 x-7 y=9$

A) $\left(-\frac{9}{7}, 0\right),\left(0, \frac{9}{5}\right)$
B) $\left(\frac{9}{5}, 0\right),\left(0, \frac{9}{7}\right)$
C) $(4,0),(0,16)$
D) $\left(\frac{9}{5}, 0\right),\left(0,-\frac{9}{7}\right)$

Question 63

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $-4 x-2 y=8$

A) $(0,-3),(0,-4)$
B) $(-3,0),(-4,0)$
C) $(-2,-4),(-3,8)$
D) $(-2,0),(0,-4)$

Question 64

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $\frac{1}{2} x+y=3$

A) $(0,0),(0,3)$
B) $(6,0),(1,3)$
C) $(6,0),(0,3)$
D) $(3,0),(0,6)$

Question 65

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $-x+\frac{4}{7} y=-4$

A) $(7,0),(0,-4)$
B) $(-4,0),(0,-7)$
C) $(4,0.5),(0,-7)$
D) $(4,0),(0,-7)$

Question 66

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $y=\frac{3}{4} x-24$

A) $(32,0),(0,-24)$
B) $(32,0),(0,24)$
C) $(-32,0),(0,24)$
D) $(24,0),(0,-24)$

Question 67

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $y=2 x$

A) $(2,0),(0,2)$
B) $(2,0),(0,0)$
C) $(0,0),(0,2)$
D) $(0,0),(0,0)$

Question 68

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $x=4$

A) $(4,0)$ , No y-intercept
B) $(-4,0)$ , No y- intercept
C) No $x$ - intercept, No y-intercept
D) No $x$ -intercept, $(0,4)$

Question 69

Find the $x$ - and $y$ - intercepts. If there are no intercepts write "No $x$ -intercept" or "No $y$ -intercept".

- $y=-10$

A) No $x$ - intercept, $(0,-10)$
B) No x-intercept, $(0,10)$
C) $(-10,0)$ , No y- intercept
D) No $x$ -intercept, No y-intercept

Question 70

Find the intercepts, and then graph the line.

- $x-y=1$

A) $(0,-3),(3,0)$

B) $(0,-1),(-1,0)$

C) $(0,-3),(-3,0)$

D) $(0,-1),(1,0)$

Question 71

Find the intercepts, and then graph the line.

- $2 x-y=4$

A) $(0,-2),(4,0)$

B) $(0,-4),(2,0)$

C) $(0,-4),(-4,0)$

D) $(0,-4),(-2,0)$

Question 72

Find the intercepts, and then graph the line.

- $2 x-3 y=18$

A) $(0,-6),(9,0)$

B) $(0,-6),(-9,0)$

C) $(0,6),(9,0)$

D) $(0,-9),(6,0)$

Question 73

Find the intercepts, and then graph the line.

- $-5 x-10 y=10$

A) $(0,1),(2,0)$

B) $(0,-1),(2,0)$

C) $(0,1),(-2,0)$

D) $(0,-1),(-2,0)$

Question 74

Find the intercepts, and then graph the line.

- $-x+2 y=4$

A) $(0,4),(-4,0)$

B) $(0,-2),(-4,0)$

C) $(0,2),(-4,0)$

D) $(0,2),(-2,0)$

Question 75

Find the intercepts, and then graph the line.

- $y=-2 x+4$

A) $(0,4),(-2,0)$


B) $(0,-4),(-2,0)$


C) $(0,-4),(2,0)$


D) $(0,4),(2,0)$

Question 76

Find the intercepts, and then graph the line.

- $y=-8 x$

A) $(0,0)$

B) $(0,0)$

C) $(0,0)$

D) $(0,0)$

Question 77

Find the intercepts, and then graph the line.

- $y=x+3$

A) $(-3,0),(0,3)$

B) $(0,-3),(3,0)$

C) $(0,-3),(-3,0)$

D) $(0,3),(3,0)$

Question 78

Find the intercepts, and then graph the line.

- $y=6$

A) $(-6,0),(6,0)$

B) $(6,0)$

C) $(0,0)$

D) $(0,6)$

Question 79

Find the intercepts, and then graph the line.

- $\mathrm{x}=6$

A) $(0,0)$

B) $(6,0)$
C) $(0,6),(6,0)$
D) $(0,6)$

Question 80

A local phone company charges a connection fee of $\$ 1.51$ plus $\$ 0.41$ per minute for each phone call. If we let $\mathrm{x}$ represent the number of minutes spent on the phone, the equation that gives the cost (y) of each phone call can be represented by $y=0.41 x+1.51$ . Find the $y$ - intercept of this equation, and explain what it signifies.

A) $(0,0.41)$ ; The connection fee for each phone call.
B) $(0,0.41)$ ; The charge per minute for each phone call.
C) $(0,1.51)$ ; The connection fee for each phone call.
D) $(0,1.51)$ ; The charge per minute for each phone call.