Deck 10: Graphing Equations and Inequalities

Question 1

Name the quadrant or axis in which the point lies.
(-19, 11)

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

Answer 1

quadrant II

Question 2

Determine the coordinates of the indicated point on the graph.
D

A)(4, -3)
B)(-3, 4)
C)(5, 3)
D)(3, 5)

Answer 2

(3, 5)

Question 3

Determine the coordinates of the indicated point on the graph.
G

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

Answer 3

(-3, 0)

Question 4

Determine the coordinates of the indicated point on the graph.
B

A)(4, -3)
B)(-3, 4)
C)(4, 3)
D)(3, 4)

Question 5

Determine the coordinates of the indicated point on the graph.
C

A)(2, 1)
B)(0, 2)
C)(1, 2)
D)(2, 0)

Question 6

Plot the ordered pair.
(5, 6)

A)
B)
C)
D)

Question 7

Name the quadrant or axis in which the point lies.
(3, 0)

A)quadrant I
B)quadrant II
C)x-axis
D)y-axis

Question 8

Name the quadrant or axis in which the point lies.
(0, 13)

A)quadrant I
B)quadrant II
C)x-axis
D)y-axis

Question 9

Plot the ordered pair.
(-1, 5)

A)
B)
C)
D)

Question 10

Determine the coordinates of the indicated point on the graph.
E

A)(4, 2)
B)(3, -4)
C)(4, 3)
D)(3, 4)

Question 11

Name the quadrant or axis in which the point lies.
(0, -10)

A)quadrant II
B)quadrant III
C)x-axis
D)y-axis

Question 12

Name the quadrant or axis in which the point lies.
(6, -5)

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

Question 13

Plot the ordered pair.
(4, -3)

A)
B)
C)
D)

Question 14

Name the quadrant or axis in which the point lies.
(-2, -11)

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

Question 15

Plot the ordered pair.
(-2, -5)

A)
B)
C)
D)

Question 16

Name the quadrant or axis in which the point lies.
(2, 8)

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

Question 17

Name the quadrant or axis in which the point lies.
(-3, 0)

A)quadrant III
B)quadrant IV
C)x-axis
D)y-axis

Question 18

Plot the ordered pair.
(5, 0)

A)
B)
C)
D)

Question 19

Plot the ordered pair.
(0, -3)

A)
B)
C)
D)

Question 20

Determine the coordinates of the indicated point on the graph.
I

A)(-5, -4)
B)(-5, 4)
C)(-4, 5)
D)(-4, -5)

Question 21

Complete the ordered pairs so that they are solutions of the given linear equation.
3x + y = -22; (-8, ), (0, ), (1, )

A)(-8, -8)(0, -22)(1, -25)
B)(-8, 2)(0, -22)(1, -25)
C)(-8, 2)(0, -26)(1, -25)
D)(-8, 2)(0, 0)(1, -25)

Question 22

Solve.

-The table shows the number of cans of soda sold at a campus stand on five days with different high temperatures for the day. Write each paired data as an order pair of the form (temperature, cans). Then create a scatter diagram of the ordered pairs. $$\begin{array}{l}\text { Cans of Soda Sold Based on Temperature }\\\begin{array} { | c | c | } \hline \begin{array} { c } \text { High Temperature } \\\text { (in degrees Fahrenheit) }\end{array} & \begin{array} { c } \text { Number of } \\\text { Cans Sold }\end{array} \\\hline 70 & 325 \\\hline 75 & 350 \\\hline 80 & 440 \\\hline 85 & 470 \\\hline 90 & 575 \\\hline\end{array}\end{array}$$

Question 23

Complete the ordered pairs so that they are solutions of the given linear equation.

-y = $\frac { 1 } { 2 }$ xx - 4; (6, ), ( ,-5)

A)(4, -5), (-2, -5)
B)(6, -5), (0, 0)
C)(6, -1), (4, -5)
D)(6, -1), (-2, -5)

Question 24

Complete the ordered pairs so that they are solutions of the given linear equation.
x + y = 7 ( , 8), ( , 0), ( , 7)

A)(-1, -3), (7, 8), (0, 7)
B)(-1, -3), (7, 0), (0, 7)
C)(-1, 8), (0, 0), (0, 0)
D)(-1, 8), (7, 0), (0, 7)

Question 25

Complete the table of ordered pairs for the given equation. Then plot the ordered pair solutions.

-3x + 2y = 6 $\begin{array}{c|c}x & y \\\hline 0 & \\& 0 \\1 \\& -3\end{array}$

A) $\begin{array}{r|r}x & y \\\hline 0 & 3 \\2 & 0 \\1 & -1.5 \\4 & -3\end{array}$

B) $\begin{array}{r|r}x & y \\\hline 0 & -3 \\2 & 0 \\1 & 1.5 \\4 & 3\end{array}$

C) $\begin{array} { r | r } x & y \\\hline 3 & 3 \\2 & 0 \\1 & 1.5 \\2 & - 3\end{array}$

D) $\begin{array}{r|r}x & y \\\hline 0 & 3 \\2 & 0 \\1 & 1.5 \\4 & -3\end{array}$

Question 26

Determine the coordinates of the indicated point on the graph.

-L

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

Question 27

Complete the ordered pairs so that they are solutions of the given linear equation.
y = -x + 7; (4, ), (7, ), (0, )

A)(4, 12)(7, 0)(0, 7)
B)(4, 4)(7, 7)(0, 0)
C)(4, 3)(7, 1)(0, 7)
D)(4, 3)(7, 0)(0, 7)

Question 28

Complete the ordered pairs so that they are solutions of the given linear equation.
x + y = 7 (4, ), (7, ), (0, )

A)(4, 3), (7, 1), (0, 7)
B)(4, 12), (7, 0), (0, 7)
C)(4, 4), (7, 7), (0, 0)
D)(4, 3), (7, 0), (0, 7)

Question 29

Solve.
The cost in dollars of manufacturing x lawn mowers is given by y = 200x + 7000.
a. Complete the following table and graph the results. b. Find the number of lawn mowers that can be manufactured for $26,600

Question 30

Determine the coordinates of the indicated point on the graph.

-M

A) $\left( 1 \frac { 1 } { 2 } , 5 \right)$
B) $\left( \frac { 1 } { 2 } , 4 \right)$
C) $\left( 4 , \frac { 1 } { 2 } \right)$
D) $\left( 5,1 \frac { 1 } { 2 } \right)$

Question 31

Solve.
The table shows the number of cookies sold at a bake sale according to their diameter in inches. Write the ordered pair
data as an ordered pair of the form (diameter, number sold). Then create a scatter diagram of the ordered pairs..

Question 32

Complete the table of ordered pairs for the given equation. Then plot the ordered pair solutions.

-6x + 2y = 12 $\begin{array}{c|c}x & y \\\hline 0 & \\& 0 \\1\\& -6\end{array}$

A) $\begin{array} { r | r } \mathrm { x } & \mathrm { y } \\\hline 0 & 6 \\2 & 0 \\1 & - 3 \\4 & - 6\end{array}$

B) $\begin{array}{r|r}x & y \\\hline 0 & 6 \\2 & 0 \\1 & 3 \\4 & -6\end{array}$

C) $\begin{array}{r|r}x &{y} \\\hline 3 & 6 \\2 & 0 \\1 & 3 \\2 & -6\end{array}$

D) $\begin{array}{r|r}x & y \\\hline 0 & 6 \\2 & 0 \\1 & 3 \\4 & -6\end{array}$

Question 33

Complete the ordered pairs so that they are solutions of the given linear equation.
8x + y = -47 (-7, ), (0, ), (1, )

A)(-7, -65), (0, -47), (1, -55)
B)(-7, -103), (0, -47), (1, -55)
C)(-7, 9), (0, -47), (1, -55)
D)(-7, 9), (0, 47), (1, -55)

Question 34

Solve.
Bruce can clear a weekly profit from his house cleaning business according to the formula y = 10.25 x - 71.75,
where y is the profit in dollars and x is the number of hours on the job.
a. Complete the following table and graph the results. b. Find the number of hours Bruce must work to achieve a profit of $225.50

Question 35

Complete the ordered pairs so that they are solutions of the given linear equation.
2x + y = -1 ( , 5), ( , 1),( , -1)

A)(-3, -3), (-1, 1), (0, -1)
B)(-3, 5), (-1, 1),(0, -1)
C)(-3, 5), (-1, -1), (0, -1)
D)(-3, 5), (-1, -1), (0, 1)

Question 36

Complete the ordered pairs so that they are solutions of the given linear equation.
8x + y = -31 (-5, ), (0, ), (1, )

A)(-5, 9), (0, 0), (1, -39)
B)(-5, 9), (0, -31), (1, -39)
C)(-5, 9), (0, -49), (1, -39)
D)(-5, -5), (0, -31), (1, -39)

Question 37

Determine the coordinates of the indicated point on the graph.
F

A)(0, 2)
B)(2, 0)
C)(1, 2)
D)(2, 1)

Question 38

Complete the ordered pairs so that they are solutions of the given linear equation.
y = -4x - 24; (-7, ), (-24, ), (0, )

A)(-7, 4)(-24, -24)(0, -24)
B)(-7, 4)(-24, 72)(0, 72)
C)(-7, 4)(-24, 72)(0, -24)
D)(-7, -7)(-24, 72)(0, -24)

Question 39

Solve.
The table shows the average hourly wage for non-managerial office workers in a town in Indiana (in dollars)for the
years shown. Write each paired data as an ordered pair of the form (year, wage). Then create a scatter diagram of the
ordered pairs.

Question 40

Determine the coordinates of the indicated point on the graph.
J

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

Question 41

Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the
points.

- $$\begin{array} { l } y = - 4 x - 3 \\( 0 , \quad ) , ( 1 , \quad ) , ( - 1 , \quad ) \\\end{array}$$

A) $( 0 , - 3 ) , ( 1,1 ) , ( - 1 , - 7 )$

B) $( 0 , - 3 ) , ( 1 , - 7 ) , ( - 1,1 )$

C) $( 0,3 ) , ( 1 , - 1 ) , ( - 1,7 )$

D) $( 0,0 ) , ( 1,3 ) , ( - 1 , - 3 )$

Question 42

Graph the linear equation.
x + 9y = -8

A)
B)
C)
D)

Question 43

Graph the linear equation.

- $$- x + y = - 5$$

A)
B)
C)
D)

Question 44

Graph the linear equation.
y = -5

A)
B)
C)
D)

Question 45

Identify the intercepts.

A)(1, 0), (0, 5)
B)(-1, 0), (0, -5)
C)(-5, 0), (0, 5)
D)(1, 0), (0, -5)

Question 46

Graph the linear equation.
-4x + y = 7

A)
B)
C)
D)

Question 47

Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the
points.

- $y = x + 2$
$( 5 , \quad ) , ( - 3 , \quad ) , ( 0 , \quad )$

A) $( 5 , - 7 ) , ( - 3,1 ) , ( 0 , - 2 )$

B) $( 5 , - 3 ) , ( - 3,5 ) , ( 0,2 )$

C) $( 5,7 ) , ( - 3 , - 1 ) , ( 0,2 )$

D) $( 5,3 ) , ( - 3 , - 5 ) , ( 0 , - 2 )$

Question 48

Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the
points.

- $$\begin{array} { l } 7 \mathrm { x } + 9 \mathrm { y } = 0 \\( - 9 , \quad ) , ( 0 , \quad ) , ( 9 , \quad ) \\\end{array}$$

A) $( - 9,8 ) , ( 0,1 ) , ( 9 , - 6 )$

B) $( - 9 , - 8 ) , ( 0 , - 1 ) , ( 9,6 )$

C) $( - 9 , - 7 ) , ( 0,0 ) , ( 9,7 )$

D) $( - 9,7 ) , ( 0,0 ) , ( 9 , - 7 )$

Question 49

Graph the linear equation.
y = 4x

A)
B)
C)
D)

Question 50

Graph the linear equation.

- $$x - y = 1$$

A)
B)
C)
D)

Question 51

Identify the intercepts.

A)(-6, 0), (0, 6)
B)(2, 0), (0, 6)
C)(-2, 0), (0, 6)
D)(2, 0), (0, -6)

Question 52

Identify the intercepts.

A)(-6, 0), (0, 6)
B)(-1, 0), (0, 6)
C)(-1, 0), (0, -6)
D)(1, 0), (0, 6)

Question 53

Graph the linear equation.
2y + 14x = 10

A)
B)
C)
D)

Question 54

Graph the linear equation.

- $$y = 4 x - 8$$

A)
B)
C)
D)

Question 55

Identify the intercepts.

A)(7, 0), (-7, 0), (0, 2), (0, -2)
B)(7, 0), (-7, 0)
C)(2, 0), (-2, 0), (0, 7), (0, -7)
D)(0, 2), (0, -2)

Question 56

Graph the linear equation.

- $-x+9 y=6$

A)
B)
C)
D)

Question 57

Graph the linear equation.
x = 2y

A)
B)
C)
D)

Question 58

Graph the linear equation.

- $$x + y = 6$$

A)
B)
C)
D)

Question 59

Graph the linear equation.

- $$y = \frac { 1 } { 6 } x + 7$$

A)
B)
C)
D)

Question 60

Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the
points.

-y = 2x + 5 $$( 0 , \quad ) , ( 1 , \quad ) , ( - 1 , )$$

A) $( 0,5 ) , ( 1,7 ) , ( - 1,3 )$
)
B) $( 0,5 ) , ( 1,3 ) , ( - 1,7 )$

C) $( 0,0 ) , ( 1,5 ) , ( - 1 , - 5 )$

D) $( 0 , - 5 ) , ( 1 , - 3 ) , ( - 1 , - 7 )$

Question 61

Decide whether a line with the given slope is upward sloping, downward sloping, horizontal or vertical.
m = 0

A)horizontal
B)vertical
C)downward
D)upward

Question 62

Graph the linear equation by finding and plotting its intercepts.

-15y - 5x = -10

A) $\left( 0 , - \frac { 2 } { 3 } \right) , ( - 2,0 )$

B) $( 0,2 ) , \left( - \frac { 2 } { 3 } , 0 \right)$

C) $\left( - \frac { 2 } { 3 } , 0 \right) , ( 0 , - 2 )$

D) $\left( 0 , - \frac { 2 } { 3 } \right) , ( 2,0 )$

Question 63

Identify the intercepts.

A)(-2, 0), (0, -8)
B)(2, 0), (0, 8)
C)(-2, -2), (8, 8)
D)(-2, 0), (0, 8)

Question 64

State whether the slope of the line is positive, negative, 0, or is undefined.

A)undefined
B)positive
C)negative
D)0

Question 65

Graph the linear equation.

- $x = 2 \frac { 1 } { 2 }$

A)
B)
C)
D)

Question 66

Graph the equation.

- $y = \frac { 5 } { 4 } x - 4$

A)
B)
C)
D)

Question 67

State whether the slope of the line is positive, negative, 0, or is undefined.

A)undefined
B)positive
C)negative
D)0

Question 68

Graph the linear equation.
x - 4 = 0

A)
B)
C)
D)

Question 69

Graph the linear equation by finding and plotting its intercepts.

-6y - 3x + 9 = 0

A) $\left( 0 , \frac { 3 } { 2 } \right) , ( - 3,0 )$

B) $\left( 0 , - \frac { 3 } { 2 } \right) , ( - 3,0 )$

C) $\left( 0 , - \frac { 3 } { 2 } \right) , ( 3,0 )$

D) $\left( 0 , \frac { 3 } { 2 } \right) , ( 3,0 )$

Question 70

Graph the linear equation.
y = -4

A)
B)
C)
D)

Question 71

Decide whether a line with the given slope is upward sloping, downward sloping, horizontal or vertical.

- $m = \frac { 5 } { 3 }$

A)downward
B)horizontal
C)vertical
D)upward

Question 72

State whether the slope of the line is positive, negative, 0, or is undefined.

A)0
B)positive
C)undefined
D)negative

Question 73

Graph the equation.

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

A)
B)
C)
D)

Question 74

Graph the linear equation.

- $y = - 6 \frac { 1 } { 2 }$

A)
B)
C)
D)

Question 75

Graph the linear equation by finding and plotting its intercepts.
x = -4y

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

Question 76

Decide whether a line with the given slope is upward sloping, downward sloping, horizontal or vertical.
m = -2

A)horizontal
B)vertical
C)upward
D)downward

Question 77

State whether the slope of the line is positive, negative, 0, or is undefined.

A)0
B)positive
C)negative
D)undefined

Question 78

Graph the linear equation.
y - 4 = 0

A)
B)
C)
D)

Question 79

Identify the intercepts.

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

Question 80

Graph the linear equation.
x = 3

A)
B)
C)
D)