Question 1

Choose the ordered pair which is a solution of the inequality.
- 2x+3y<52 \mathrm{x}+3 \mathrm{y}<52x+3y<5 
 (12,12) ,(3,2) ,(1,1) ,(2,2) \left(\frac{1}{2}, \frac{1}{2}\right) ,(3,2) ,(1,1) ,(2,2) (21​,21​) ,(3,2) ,(1,1) ,(2,2)

Accepted Answer

A)    (3,2) (3,2) (3,2)  
B)    (1,1) (1,1) (1,1)  
C)    (2,2) (2,2) (2,2)  
D)    (12,12) \left(\frac{1}{2}, \frac{1}{2}\right) (21​,21​)

Question 2

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
- (6,−3) ,m=−4(6,-3) , \mathrm{m}=-4(6,−3) ,m=−4

Accepted Answer

A)    y=−4x+22y=-4 x+22y=−4x+22 
B)    y=4x+20y=4 x+20y=4x+20 
C)    y=−4x+19y=-4 x+19y=−4x+19 
D)    y=−4x+21y=-4 x+21y=−4x+21

Question 3

Find the coordinates of the  yyy -intercept for the given equation.
- 6y+4x=−16 y+4 x=-16y+4x=−1

Accepted Answer

A)    (−1,0) (-1,0) (−1,0)  
B)    (0,−1) (0,-1) (0,−1)  
C)    (0,−16) \left(0,-\frac{1}{6}\right) (0,−61​)  
D)    (−16,0) \left(-\frac{1}{6}, 0\right) (−61​,0)

Question 4

Determine whether the given ordered pair is a solution of the equation.
-$x-y=64 ;(8,6)$

Accepted Answer

A) True 
 B)False

Question 5

Choose the ordered pair which is a solution of the inequality.
- 0">x+y>0x+y>0x+y>0 
 (1,0) ,(0,0) ,(−1,1) ,(1,−1) (1,0) ,(0,0) ,(-1,1) ,(1,-1) (1,0) ,(0,0) ,(−1,1) ,(1,−1)

Accepted Answer

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

Question 6

Find an equation of the line with the given slope and  yyy -intercept.
-Slope  =−4.7,y=-4.7, \mathrm{y}=−4.7,y  - intercept  =(0,5.05) =(0,5.05) =(0,5.05)

Accepted Answer

A)    y=−4.7x+5.05y=-4.7 x+5.05y=−4.7x+5.05 
B)    y=5.05x+4.7y=5.05 x+4.7y=5.05x+4.7 
C)    y=4.7x+5.05y=4.7 x+5.05y=4.7x+5.05 
D)    y=5.05x−4.7y=5.05 x-4.7y=5.05x−4.7

Question 7

Find the slope of the line going through the pair of points.
- (5,1) ,(6,3) (5,1) ,(6,3) (5,1) ,(6,3)

Accepted Answer

A)    12\frac{1}{2}21​ 
B)   2
C)    34\frac{3}{4}43​ 
D)    43\frac{4}{3}34​

Question 8

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
- (4,0) ,m=−10(4,0) , m=-10(4,0) ,m=−10

Accepted Answer

A)    y=4x−10y=4 x-10y=4x−10 
B)    y=−4x−10y=-4 x-10y=−4x−10 
C)    y=10x+4y=10 x+4y=10x+4 
D)    y=−10x+40y=-10 x+40y=−10x+40

Question 9

Graph the line containing the given pair of points and find the slope.
- (−7,−5) (−8,9) (-7,-5) (-8,9) (−7,−5) (−8,9)

Accepted Answer

A)   14
B)   -14
C)    114\frac{1}{14}141​ 
D)    −114-\frac{1}{14}−141​

Question 10

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
- 3x−6y=−113 \mathrm{x}-6 \mathrm{y}=-113x−6y=−11 
 36x+9y=−1136 x+9 y=-1136x+9y=−11

Accepted Answer

A)   Parallel
B)   Neither
C)   Perpendicular

Question 11

Graph the line containing the given pair of points and find the slope.
- (3,3) (−4,3) (3,3) (-4,3) (3,3) (−4,3)

Accepted Answer

A)   1
B)   0
C)   1
D)   0

Question 12

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-$2 x+y=6 ;(3,0),(4,-2)$

Accepted Answer

Show that

is a solution:

...

Question 13

Graph the linear inequality.
-X+Y

Accepted Answer

A)  
B)  
C)  
D)

Question 14

Find the coordinates of the  yyy -intercept for the given equation.
- y=15x−8y=\frac{1}{5} x-8y=51​x−8

Accepted Answer

A)    (−8,0) (-8,0) (−8,0)  
B)    (0,15) \left(0, \frac{1}{5}\right) (0,51​)  
C)    (0,−8) (0,-8) (0,−8)  
D)    (8,0) (8,0) (8,0)

Question 15

List the quadrant(s)  in which the given point is located.
- (4,19) (4,19) (4,19)

Accepted Answer

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

Question 16

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
- 3x−8y=−193 \mathrm{x}-8 \mathrm{y}=-193x−8y=−19 
 32x+12y=−1932 x+12 y=-1932x+12y=−19

Accepted Answer

A)   Parallel
B)   Neither
C)   Perpendicular

Question 17

Find the slope of the line.
- −5y=−2x−21-5 \mathrm{y}=-2 \mathrm{x}-21−5y=−2x−21

Accepted Answer

A)    25\frac{2}{5}52​ 
B)    −52-\frac{5}{2}−25​ 
C)    52\frac{5}{2}25​ 
D)    −25-\frac{2}{5}−52​

Question 18

Find the coordinates of the  yyy -intercept for the given equation.
- x+y=4x+y=4x+y=4

Accepted Answer

A)    (0,−1) (0,-1) (0,−1)  
B)    (−4,0) (-4,0) (−4,0)  
C)    (0,4) (0,4) (0,4)  
D)    (0,−4) (0,-4) (0,−4)

Question 19

Graph the linear inequality.
- −3x−5y≤15-3 x-5 y \leq 15−3x−5y≤15

Accepted Answer

A)  
B)  
C)  
D)

Question 20

Graph the linear equation.
- y=2x+3y=2 x+3y=2x+3

Accepted Answer

A)   
B)   
C)   
D)

Exam 3: Graphs of Linear Equations

Find the coordinates of the yyy -intercept for the given equation. - 6y+4x=−16 y+4 x=-16y+4x=−1

Correct AnswerverifiedShow Answer

List the quadrant(s) in which the given point is located. - (4,19) (4,19) (4,19)

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Find the slope of the line going through the pair of points. - (5,1) ,(6,3) (5,1) ,(6,3) (5,1) ,(6,3)

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Graph the linear inequality. -X+Y<-4

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Graph the line containing the given pair of points and find the slope. - (−7,−5) (−8,9) (-7,-5) (-8,9) (−7,−5) (−8,9)

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Find an equation of the line with the given slope and yyy -intercept. -Slope =−4.7,y=-4.7, \mathrm{y}=−4.7,y - intercept =(0,5.05) =(0,5.05) =(0,5.05)

Correct AnswerverifiedShow Answer

Find the coordinates of the yyy -intercept for the given equation. - y=15x−8y=\frac{1}{5} x-8y=51​x−8

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Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - 3x−8y=−193 \mathrm{x}-8 \mathrm{y}=-193x−8y=−19 32x+12y=−1932 x+12 y=-1932x+12y=−19

Correct AnswerverifiedShow Answer

Graph the line containing the given pair of points and find the slope. - (3,3) (−4,3) (3,3) (-4,3) (3,3) (−4,3)

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Find the coordinates of the yyy -intercept for the given equation. - x+y=4x+y=4x+y=4

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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (4,0) ,m=−10(4,0) , m=-10(4,0) ,m=−10

Correct AnswerverifiedShow Answer

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - 3x−6y=−113 \mathrm{x}-6 \mathrm{y}=-113x−6y=−11 36x+9y=−1136 x+9 y=-1136x+9y=−11

Correct AnswerverifiedShow Answer

Choose the ordered pair which is a solution of the inequality. - x+y>0x+y>0x+y>0 (1,0) ,(0,0) ,(−1,1) ,(1,−1) (1,0) ,(0,0) ,(-1,1) ,(1,-1) (1,0) ,(0,0) ,(−1,1) ,(1,−1)

Correct AnswerverifiedShow Answer

Graph the linear inequality. - −3x−5y≤15-3 x-5 y \leq 15−3x−5y≤15

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Determine whether the given ordered pair is a solution of the equation. - x−y=64;(8,6)x-y=64 ;(8,6)x−y=64;(8,6)

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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (6,−3) ,m=−4(6,-3) , \mathrm{m}=-4(6,−3) ,m=−4

Correct AnswerverifiedShow Answer

Graph the linear equation. - y=2x+3y=2 x+3y=2x+3

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Choose the ordered pair which is a solution of the inequality. - 2x+3y<52 \mathrm{x}+3 \mathrm{y}<52x+3y<5 (12,12) ,(3,2) ,(1,1) ,(2,2) \left(\frac{1}{2}, \frac{1}{2}\right) ,(3,2) ,(1,1) ,(2,2) (21​,21​) ,(3,2) ,(1,1) ,(2,2)

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Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - 2x+y=6;(3,0),(4,−2)2 x+y=6 ;(3,0),(4,-2)2x+y=6;(3,0),(4,−2)

Correct AnswerverifiedShow that is a solution:...View AnswerShow Answer

Find the slope of the line. - −5y=−2x−21-5 \mathrm{y}=-2 \mathrm{x}-21−5y=−2x−21

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Find the coordinates of the $y$ -intercept for the given equation. - $6 y+4 x=-1$

Correct Answer
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List the quadrant(s) in which the given point is located. - $(4,19)$

Correct Answer
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Find the slope of the line going through the pair of points. - $(5,1) ,(6,3)$

Correct Answer
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Correct Answer
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Graph the line containing the given pair of points and find the slope. - $(-7,-5) (-8,9)$ $Graph the line containing the given pair of points and find the slope. - (-7,-5) (-8,9) A) 14 B) -14 C) \frac{1}{14} D) -\frac{1}{14}$

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Find an equation of the line with the given slope and $y$ -intercept. -Slope $=-4.7, \mathrm{y}$ - intercept $=(0,5.05)$

Correct Answer
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Find the coordinates of the $y$ -intercept for the given equation. - $y=\frac{1}{5} x-8$

Correct Answer
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Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $3 \mathrm{x}-8 \mathrm{y}=-19$ $32 x+12 y=-19$

Correct Answer
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Graph the line containing the given pair of points and find the slope. - $(3,3) (-4,3)$

Correct Answer
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Find the coordinates of the $y$ -intercept for the given equation. - $x+y=4$

Correct Answer
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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(4,0) , m=-10$

Correct Answer
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Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $3 \mathrm{x}-6 \mathrm{y}=-11$ $36 x+9 y=-11$

Correct Answer
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Choose the ordered pair which is a solution of the inequality. - $x+y>0$ $(1,0) ,(0,0) ,(-1,1) ,(1,-1)$

Correct Answer
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Graph the linear inequality. - $-3 x-5 y \leq 15$ $Graph the linear inequality. - -3 x-5 y \leq 15 A) B) C) D)$

Correct Answer
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Determine whether the given ordered pair is a solution of the equation. - $x-y=64 ;(8,6)$

Correct Answer
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Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(6,-3) , \mathrm{m}=-4$

Correct Answer
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Graph the linear equation. - $y=2 x+3$

Correct Answer
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Choose the ordered pair which is a solution of the inequality. - $2 \mathrm{x}+3 \mathrm{y}<5$ $\left(\frac{1}{2}, \frac{1}{2}\right) ,(3,2) ,(1,1) ,(2,2)$

Correct Answer
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Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $2 x+y=6 ;(3,0),(4,-2)$

Correct Answer
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Show that is a solution:

...
View Answer

Find the slope of the line. - $-5 \mathrm{y}=-2 \mathrm{x}-21$

Correct Answer
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