Question 1

Find the y- and x-intercepts for the equation. Then graph the equation.
--4x - 12y = 12

Accepted Answer

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

Question 2

Write the sentence as a linear equation in two variables. Then graph the equation.
-The y-variable is 2 less than 7 times the x-variable.

Accepted Answer

A)  $y = 7 x - 2$
  
B)  $y = 2 - 7 x$
  
C)  $y = 2 x - 7$
  
D)  $y = 7 ( x - 2 )$
  
A)  $y = 7 x - 2$
  
B)  $y = 2 - 7 x$
  
C)  $y = 2 x - 7$
  
D)  $y = 7 ( x - 2 )$

Question 3

Find the slope of the line passing through the pair of points or state that the slope is undefined.
-$( - 8,7 )$ and $( 3,4 )$

Accepted Answer

A)  $\frac { 3 } { 11 }$ 
B)  $- \frac { 3 } { 11 }$ 
C)  $- \frac { 11 } { 5 }$ 
D)  $- \frac { 11 } { 3 }$ 
A)  $\frac { 3 } { 11 }$ 
B)  $- \frac { 3 } { 11 }$ 
C)  $- \frac { 11 } { 5 }$ 
D)  $- \frac { 11 } { 3 }$

Question 4

Determine whether the lines through each pair of points are parallel.
-(-8, -4) and (-6, -4); (10, 2) and (11, 2)

Accepted Answer

A)  not parallel 
B)  parallel 
A)  not parallel 
B)  parallel

Question 5

Find a solution to the equation using the value given for x.
-y = -5x - 2; x = 6

Accepted Answer

A)  (6, -28) 
B)  (6, -32) 
C)  (6, -7) 
D)  (6, -42) 
A)  (6, -28) 
B)  (6, -32) 
C)  (6, -7) 
D)  (6, -42)

Question 6

Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
-(-8, -4) and (-16, -22); (2, 7) and (6, -2)

Accepted Answer

A)  perpendicular 
B)  parallel 
C)  neither 
A)  perpendicular 
B)  parallel 
C)  neither

Question 7

Graph the equation.
-x + 5 = 0

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 8

Indicate in which quadrant the point lies.
-(-11, -10)

Accepted Answer

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

Question 9

Determine whether the ordered pair is a solution of the given equation.
-(-1, -3) x - y = 4

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 10

Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
-(6, -6) and (22, -8); (-4, -3) and (4, -4)

Accepted Answer

A)  neither 
B)  parallel 
C)  perpendicular 
A)  neither 
B)  parallel 
C)  perpendicular

Question 11

Find the slope of the line passing through the pair of points or state that the slope is undefined.
-$( 6,3 )$ and $( 7,5 )$

Accepted Answer

A)  2 
B)  $- 2$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 8 } { 13 }$ 
A)  2 
B)  $- 2$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 8 } { 13 }$

Question 12

Plot the given point in a rectangular coordinate system.
-$(0,5)$

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 13

Solve the problem.
-A customer at a store bought 4 bottles of juice and 7 fruit pies for a total cost of $81.50. If x represents the cost of a bottle of juice and y represents the cost of one fruit pie, write an equation in two variables that reflects the
Given conditions.

Accepted Answer

A)  (4 + x) + (7 + y) = 81.50 
B)  (4 + x)(7 + y) = 81.50 
C)  4x + 7y = 81.50 
D)  7x + 4y = 81.50 
A)  (4 + x) + (7 + y) = 81.50 
B)  (4 + x)(7 + y) = 81.50 
C)  4x + 7y = 81.50 
D)  7x + 4y = 81.50

Question 14

Find the slope of the line passing through the pair of points or state that the slope is undefined.
-(1, 3) and (1, -9)

Accepted Answer

A)  - 3 
B)  0 
C)  undefined 
D)  6 
A)  - 3 
B)  0 
C)  undefined 
D)  6

Question 15

Find a solution to the equation using the value given for x.
-y = 4x; x = 3.

Accepted Answer

A)  (3, -1) 
B)  (3, 15) 
C)  (3, 12) 
D)  (3, 7) 
A)  (3, -1) 
B)  (3, 15) 
C)  (3, 12) 
D)  (3, 7)

Question 16

Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
-(10, 5) and (-6, -1); (-9, -6) and (-6, -14)

Accepted Answer

A)  neither 
B)  perpendicular 
C)  parallel 
A)  neither 
B)  perpendicular 
C)  parallel

Question 17

Use the graph to identify the x- and y- intercepts or state that there is no x- or y-intercept.
-

Accepted Answer

A)  x-intercept = -1; y-intercept = -5 
B)  x-intercept = 1; y-intercept = -5 
C)  x-intercept = 1; y-intercept = 5 
D)  x-intercept = -5; y-intercept = 5 
A)  x-intercept = -1; y-intercept = -5 
B)  x-intercept = 1; y-intercept = -5 
C)  x-intercept = 1; y-intercept = 5 
D)  x-intercept = -5; y-intercept = 5

Question 18

Solve the problem.
-The linear equation in two variables y = 124 - 2x models the amount of water, y, in ounces, remaining in a leaky bucket x minutes after the bucket was filled. The equation indicates that the bucket initially contains 124 ounces
Of water and loses 2 ounces each minute. Find a solution of y = 124 - 2x using 4 for x.

Accepted Answer

A)  (4, 8) 
B)  (4, 132) 
C)  (4, 116) 
D)  (4, 122) 
A)  (4, 8) 
B)  (4, 132) 
C)  (4, 116) 
D)  (4, 122)

Question 19

Find a solution to the equation using the value given for x.
-y = -7x - 5; x = 0

Accepted Answer

A)  (0, -12) 
B)  (0, 7) 
C)  (0, -5) 
D)  (0, 0) 
A)  (0, -12) 
B)  (0, 7) 
C)  (0, -5) 
D)  (0, 0)

Question 20

Plot the given point in a rectangular coordinate system.
-$( - 5 , - 6 )$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Find the y- and x-intercepts for the equation. Then graph the equation. --4x - 12y = 12

Write the sentence as a linear equation in two variables. Then graph the equation. -The y-variable is 2 less than 7 times the x-variable.

Find the slope of the line passing through the pair of points or state that the slope is undefined. - $( - 8,7 )$ and $( 3,4 )$

Determine whether the lines through each pair of points are parallel. -(-8, -4) and (-6, -4); (10, 2) and (11, 2)

Find a solution to the equation using the value given for x. -y = -5x - 2; x = 6

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. -(-8, -4) and (-16, -22); (2, 7) and (6, -2)

Graph the equation. -x + 5 = 0

Indicate in which quadrant the point lies. -(-11, -10)

Determine whether the ordered pair is a solution of the given equation. -(-1, -3) x - y = 4

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. -(6, -6) and (22, -8); (-4, -3) and (4, -4)

Find the slope of the line passing through the pair of points or state that the slope is undefined. - $( 6,3 )$ and $( 7,5 )$

Plot the given point in a rectangular coordinate system. - $(0,5)$

Solve the problem. -A customer at a store bought 4 bottles of juice and 7 fruit pies for a total cost of $81.50. If x represents the cost of a bottle of juice and y represents the cost of one fruit pie, write an equation in two variables that reflects the Given conditions.

Find the slope of the line passing through the pair of points or state that the slope is undefined. -(1, 3) and (1, -9)

Find a solution to the equation using the value given for x. -y = 4x; x = 3.

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. -(10, 5) and (-6, -1); (-9, -6) and (-6, -14)

Use the graph to identify the x- and y- intercepts or state that there is no x- or y-intercept. -

Find a solution to the equation using the value given for x. -y = -7x - 5; x = 0

Plot the given point in a rectangular coordinate system. - $( - 5 , - 6 )$

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

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Exam 3: Linear Equations in Two Variables