Question 1

Find the slope of the line, or state that the slope is undefined.
-

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)  $- 4$ 
C)  4 
D)  $\frac { 1 } { 4 }$ 
A)  $- \frac { 1 } { 4 }$ 
B)  $- 4$ 
C)  4 
D)  $\frac { 1 } { 4 }$

Question 2

Plot the given point in a rectangular coordinate system.
-$\left( 0 , - \frac { 11 } { 2 } \right)$

Accepted Answer

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

Question 3

Give the ordered pairs that correspond to the points labeled in the figure.
-

Accepted Answer

A)  G = (2, 4), H = (-7, 2) 
B)  G = (4, 20), H = (2, -7) 
C)  G = (2, 4), H = (2, -7) 
D)  G = (2, 2), H = (4, 2) 
A)  G = (2, 4), H = (-7, 2) 
B)  G = (4, 20), H = (2, -7) 
C)  G = (2, 4), H = (2, -7) 
D)  G = (2, 2), H = (4, 2)

Question 4

Determine whether the lines through each pair of points are perpendicular.
-(-4, 0) and (-20, 12); (4, 4) and (-4, 10)

Accepted Answer

A)  not perpendicular 
B)  perpendicular 
A)  not perpendicular 
B)  perpendicular

Question 5

Graph the linear equation in two variables.
-$y=-x+3$

Accepted Answer

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

Question 6

Find the slope of the line passing through the pair of points or state that the slope is undefined.
-$( 8 , - 4 )$ and $( - 5 , - 4 )$

Accepted Answer

A)  undefined 
B)  $\frac { 8 } { 13 }$ 
C)  $- \frac { 8 } { 3 }$ 
D)  0 
A)  undefined 
B)  $\frac { 8 } { 13 }$ 
C)  $- \frac { 8 } { 3 }$ 
D)  0

Question 7

Solve the problem.
-The linear equation in two variables y = 0.10x + 200 models the total weekly cost, y, in dollars, for renting a car and driving it x miles. The equation indicates that the rental company charges a fixed amount of $200 for the
Week plus a cost of $0.10 for each mile the car is driven. Find a solution of y = 0.10x + 200 using 220 for x.

Accepted Answer

A)  (220, 2200) 
B)  (220, 222) 
C)  (220, 197) 
D)  (220, 182) 
A)  (220, 2200) 
B)  (220, 222) 
C)  (220, 197) 
D)  (220, 182)

Question 8

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

Accepted Answer

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

Question 9

Indicate in which quadrant the point lies.
-(9, 12)

Accepted Answer

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

Question 10

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 = -5; y-intercept = 0 
B)  no x-intercept; y-intercept = -5 
C)  x-intercept = -5; y-intercept = 5 
D)  x-intercept = -5; no y-intercept 
A)  x-intercept = -5; y-intercept = 0 
B)  no x-intercept; y-intercept = -5 
C)  x-intercept = -5; y-intercept = 5 
D)  x-intercept = -5; no y-intercept

Question 11

Find a solution to the equation using the value given for x.
-y = -4x; x = 6.

Accepted Answer

A)  (6, 10) 
B)  (6, -24) 
C)  (6, -18) 
D)  (6, 2) 
A)  (6, 10) 
B)  (6, -24) 
C)  (6, -18) 
D)  (6, 2)

Question 12

Graph using a graphing utility and identify the x- and y-intercepts from the graph. Use the indicated graphing window
dimensions.
-2x + 5y = 30 (window size [0, 15, 1] by [-10, 10, 1])

Accepted Answer

A)  No $x$-intercept; $y$-intercept $= 6$
 \ 
B) (x \text {-intercept }=15 ; y \text {-intercept }=-6\)
  
C)  $x$-intercept $= 15 ; y$-intercept $= 6$
  
D)  $x$-intercept $= 4 ; y$-intercept $= 15$
  
A)  No $x$-intercept; $y$-intercept $= 6$
 \ 
B) (x \text {-intercept }=15 ; y \text {-intercept }=-6\)
  
C)  $x$-intercept $= 15 ; y$-intercept $= 6$
  
D)  $x$-intercept $= 4 ; y$-intercept $= 15$

Question 13

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

Accepted Answer

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

Question 14

Solve the problem.
-A projectile is fired from the top of a building 200 feet high. The graph shows the height of the projectile, in feet, above the ground, in terms of its distance, in feet, from the base of the building.   What is the maximum height of the projectile? What is the distance of the projectile from the base of the building when it
Reaches its maximum height?

Accepted Answer

A)  1635 feet; 676 feet 
B)  396 feet; 676 feet 
C)  676 feet; 396 feet 
D)  396 feet; 1635 feet 
A)  1635 feet; 676 feet 
B)  396 feet; 676 feet 
C)  676 feet; 396 feet 
D)  396 feet; 1635 feet

Question 15

Graph the linear equation in two variables.
-$y=-3 x-3$

Accepted Answer

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

Question 16

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem.  
-4x - 20y = 20

Accepted Answer

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

Question 17

Graph the equation.
-12y = 36

Accepted Answer

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

Question 18

Solve the problem.
-The linear equation in two variables y = 1100x + 2660 models the altitude above sea level, y, in feet, of an airplane x minutes after taking off from a high plateau. The equation indicates that the airplane's altitude is
Initially 2660 feet above sea level and increases 1100 feet each minute. Find a solution of y = 1100x + 2660 using
4 for x.

Accepted Answer

A)  (4, 7060) 
B)  (4, 7160) 
C)  (4, 4400) 
D)  (4, 6960) 
A)  (4, 7060) 
B)  (4, 7160) 
C)  (4, 4400) 
D)  (4, 6960)

Question 19

Graph the equation.
-6x = -30

Accepted Answer

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

Question 20

Plot the given point in a rectangular coordinate system.
-$(-4,3)$

Accepted Answer

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

Find the slope of the line, or state that the slope is undefined. -

Plot the given point in a rectangular coordinate system. - $\left( 0 , - \frac { 11 } { 2 } \right)$ $Plot the given point in a rectangular coordinate system. - \left( 0 , - \frac { 11 } { 2 } \right)$

Give the ordered pairs that correspond to the points labeled in the figure. -

Determine whether the lines through each pair of points are perpendicular. -(-4, 0) and (-20, 12); (4, 4) and (-4, 10)

Graph the linear equation in two variables. - $y=-x+3$

Find the slope of the line passing through the pair of points or state that the slope is undefined. - $( 8 , - 4 )$ and $( - 5 , - 4 )$

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

Indicate in which quadrant the point lies. -(9, 12)

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 = -4x; x = 6.

Graph using a graphing utility and identify the x- and y-intercepts from the graph. Use the indicated graphing window dimensions. -2x + 5y = 30 (window size [0, 15, 1] by [-10, 10, 1])

Determine whether the ordered pair is a solution of the given equation. -(6, 1) x - y = 5

Graph the linear equation in two variables. - $y=-3 x-3$

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem. -4x - 20y = 20

Graph the equation. -12y = 36

Graph the equation. -6x = -30

Plot the given point in a rectangular coordinate system. - $(-4,3)$

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

Filters

Exam 3: Linear Equations in Two Variables

Find the slope of the line, or state that the slope is undefined. -

Plot the given point in a rectangular coordinate system. - (0,−112)\left( 0 , - \frac { 11 } { 2 } \right)(0,−211​)

Give the ordered pairs that correspond to the points labeled in the figure. -

Determine whether the lines through each pair of points are perpendicular. -(-4, 0) and (-20, 12); (4, 4) and (-4, 10)

Graph the linear equation in two variables. - y=−x+3y=-x+3y=−x+3

Find the slope of the line passing through the pair of points or state that the slope is undefined. - (8,−4)( 8 , - 4 )(8,−4) and (−5,−4)( - 5 , - 4 )(−5,−4)

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

Indicate in which quadrant the point lies. -(9, 12)

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 = -4x; x = 6.

Graph using a graphing utility and identify the x- and y-intercepts from the graph. Use the indicated graphing window dimensions. -2x + 5y = 30 (window size [0, 15, 1] by [-10, 10, 1])

Determine whether the ordered pair is a solution of the given equation. -(6, 1) x - y = 5

Graph the linear equation in two variables. - y=−3x−3y=-3 x-3y=−3x−3

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem. -4x - 20y = 20

Graph the equation. -12y = 36

Graph the equation. -6x = -30

Plot the given point in a rectangular coordinate system. - (−4,3)(-4,3)(−4,3)

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

Filters

Plot the given point in a rectangular coordinate system. - $\left( 0 , - \frac { 11 } { 2 } \right)$ $Plot the given point in a rectangular coordinate system. - \left( 0 , - \frac { 11 } { 2 } \right)$

Graph the linear equation in two variables. - $y=-x+3$

Find the slope of the line passing through the pair of points or state that the slope is undefined. - $( 8 , - 4 )$ and $( - 5 , - 4 )$

Graph the linear equation in two variables. - $y=-3 x-3$

Plot the given point in a rectangular coordinate system. - $(-4,3)$