Question 1

Graph the equation using the intercept method. Label the intercepts on the graph. $2 x + 3 y = 6$

Accepted Answer

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

Question 2

Determine whether the given ordered pair is a solution of $y = - 5 x - 3$ . (-1,8)

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 3

Graph the equation. $x = - 4$

Accepted Answer

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

Question 4

Use the point-slope form to write an equation of the line with the given properties. slope 3 ; passes through (0,5) __________ Write the equation in slope-intercept form. __________

Accepted Answer

The answer of Use the point-slope form to write an...

Question 5

Give the coordinates of the point G .

Accepted Answer

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

Question 6

The set of all second components of the ordered pairs is called the _________ of the function.

Accepted Answer

The answer of The set of all second components of...

Question 7

Use the slope-intercept form to write an equation of the line with the given properties. slope -6 ; passes through (5,0)

Accepted Answer

A)  $y = 6 x - 30$ 
B)  $y = - 6 x - 30$ 
C)  $y = - 6 ( x + 5 )$ 
D)  $y = - 6 x + 30$ 
E)  $y = 6 x + 30$ 
A)  $y = 6 x - 30$ 
B)  $y = - 6 x - 30$ 
C)  $y = - 6 ( x + 5 )$ 
D)  $y = - 6 x + 30$ 
E)  $y = 6 x + 30$

Question 8

Find the slope of the line that passes through the points $\left( - \frac { 3 } { 2 } , \frac { 2 } { 3 } \right) \text { and } \left( \frac { 1 } { 2 } , \frac { 20 } { 3 } \right)$

Accepted Answer

The answer of Find the slope of the line that...

Question 9

Find the midpoint of the line segment with endpoints (-1,2)and (-3,6) .

Accepted Answer

A)  (2,-4) 
B)  (1,1) 
C)  (-4,8) 
D)  (-2,4) 
A)  (2,-4) 
B)  (1,1) 
C)  (-4,8) 
D)  (-2,4)

Question 10

Determine whether the equation defines y to be a function of x . $y ^ { 2 } = 5 + 7 x$

Accepted Answer

The answer of Determine whether the equation defines y to...

Question 11

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( 0,0 ) ; y = 5 x - 9$

Accepted Answer

The answer of Find an equation of the line that...

Question 12

Tiger Woods came back in the final 18 holes of the 2000 AT T Pebble Beach National Pro-Am golf tournament to overtake the leader, Matt Gogel. Refer to the graph below. (In golf, the player with the score that is the farthest under par is the winner.) 
 
 At the beginning of the final round, by how many strokes did Gogel lead Woods?
 __________ strokes What was the largest lead that Gogel had over Woods in the final round?
 __________ strokes On what hole did Woods tie up the match?
 __________ th On what hole did Woods take the lead?
 __________ th

Accepted Answer

The answer of Tiger Woods came back in the final...

Question 13

The price of computers has been dropping for the past ten years. If a desktop PC cost $5,700 ten years ago, and the same computing power cost $410 two years ago, find the rate of decrease per year. (Assume a straight-line model.)

Accepted Answer

A)  $685.25 
B)  $661.25 
C)  $611.25 
D)  $651.25 
E)  $765.25 
A)  $685.25 
B)  $661.25 
C)  $611.25 
D)  $651.25 
E)  $765.25

Question 14

Which of the following pairs of lines are perpendicular?

Accepted Answer

A)  $y = \frac { 1 } { 5 } x - 5$ ; $y = 5 x - 7$ 
B)  $y = \frac { 1 } { 5 } x - 5$ ; $y = \frac { 1 } { 5 } x + 6$ 
C)  $y = \frac { 1 } { 5 } x - 5$ ; $y = - 5 x + 7$ 
D)  $y = \frac { 1 } { 5 } x - 5$ ; $y = - \frac { 1 } { 5 } x + 6$ 
A)  $y = \frac { 1 } { 5 } x - 5$ ; $y = 5 x - 7$ 
B)  $y = \frac { 1 } { 5 } x - 5$ ; $y = \frac { 1 } { 5 } x + 6$ 
C)  $y = \frac { 1 } { 5 } x - 5$ ; $y = - 5 x + 7$ 
D)  $y = \frac { 1 } { 5 } x - 5$ ; $y = - \frac { 1 } { 5 } x + 6$

Question 15

Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( - 2,2 ) \text { and } ( 2,3 )$ A line passing through $( 5 , - 6 ) \text { and } ( 3,2 )$

Accepted Answer

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

Question 16

Find the slope of the line that passes through the points (-6,9) and (3,8) .

Accepted Answer

A)  -9 
B)  $- \frac { 1 } { 9 }$ 
C)  $- \frac { 17 } { 3 }$ 
D)  $\frac { 1 } { 9 }$ 
A)  -9 
B)  $- \frac { 1 } { 9 }$ 
C)  $- \frac { 17 } { 3 }$ 
D)  $\frac { 1 } { 9 }$

Question 17

Graph $f ( x ) = - 5$ .

Accepted Answer

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

Question 18

Let $f ( x ) = \frac { 4 } { 5 } x - 1$ . For what value of x is $f ( x ) = 2$ ?

Accepted Answer

A)  $x = \frac { 15 } { 4 }$ 
B)  $x = \frac { 3 } { 5 }$ 
C)  $x = \frac { 12 } { 5 }$ 
D)  $x = \frac { 5 } { 4 }$ 
A)  $x = \frac { 15 } { 4 }$ 
B)  $x = \frac { 3 } { 5 }$ 
C)  $x = \frac { 12 } { 5 }$ 
D)  $x = \frac { 5 } { 4 }$

Question 19

Sketch the graph of the associated function, $g ( x ) = x ^ { 2 }$ then draw the graph of the function f using a translation and/or a reflection. $f ( x ) = x ^ { 2 } - 6$

Accepted Answer

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

Question 20

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $7 x + 6 y = 9,6 x - 7 y = 6$

Accepted Answer

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

Graph the equation using the intercept method. Label the intercepts on the graph. $2 x + 3 y = 6$

Determine whether the given ordered pair is a solution of $y = - 5 x - 3$ . (-1,8)

Graph the equation. $x = - 4$

Use the point-slope form to write an equation of the line with the given properties. slope 3 ; passes through (0,5) Write the equation in slope-intercept form.

Give the coordinates of the point G .

The set of all second components of the ordered pairs is called the _________ of the function.

Use the slope-intercept form to write an equation of the line with the given properties. slope -6 ; passes through (5,0)

Find the slope of the line that passes through the points $\left( - \frac { 3 } { 2 } , \frac { 2 } { 3 } \right) \text { and } \left( \frac { 1 } { 2 } , \frac { 20 } { 3 } \right)$

Find the midpoint of the line segment with endpoints (-1,2)and (-3,6) .

Determine whether the equation defines y to be a function of x . $y ^ { 2 } = 5 + 7 x$

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( 0,0 ) ; y = 5 x - 9$

The price of computers has been dropping for the past ten years. If a desktop PC cost $5,700 ten years ago, and the same computing power cost $410 two years ago, find the rate of decrease per year. (Assume a straight-line model.)

Which of the following pairs of lines are perpendicular?

Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( - 2,2 ) \text { and } ( 2,3 )$ A line passing through $( 5 , - 6 ) \text { and } ( 3,2 )$

Find the slope of the line that passes through the points (-6,9) and (3,8) .

Graph $f ( x ) = - 5$ .

Let $f ( x ) = \frac { 4 } { 5 } x - 1$ . For what value of x is $f ( x ) = 2$ ?

Sketch the graph of the associated function, $g ( x ) = x ^ { 2 }$ then draw the graph of the function f using a translation and/or a reflection. $f ( x ) = x ^ { 2 } - 6$

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $7 x + 6 y = 9,6 x - 7 y = 6$

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 2: Graphs, Equations of Lines, and Functions

Graph the equation using the intercept method. Label the intercepts on the graph. 2x+3y=62 x + 3 y = 62x+3y=6

Determine whether the given ordered pair is a solution of y=−5x−3y = - 5 x - 3y=−5x−3 . (-1,8)

Graph the equation. x=−4x = - 4x=−4

Use the point-slope form to write an equation of the line with the given properties. slope 3 ; passes through (0,5) __________ Write the equation in slope-intercept form. __________

Give the coordinates of the point G .

The set of all second components of the ordered pairs is called the _________ of the function.

Use the slope-intercept form to write an equation of the line with the given properties. slope -6 ; passes through (5,0)

Find the slope of the line that passes through the points (−32,23) and (12,203)\left( - \frac { 3 } { 2 } , \frac { 2 } { 3 } \right) \text { and } \left( \frac { 1 } { 2 } , \frac { 20 } { 3 } \right)(−23​,32​) and (21​,320​)

Find the midpoint of the line segment with endpoints (-1,2)and (-3,6) .

Determine whether the equation defines y to be a function of x . y2=5+7xy ^ { 2 } = 5 + 7 xy2=5+7x

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. (0,0);y=5x−9( 0,0 ) ; y = 5 x - 9(0,0);y=5x−9

The price of computers has been dropping for the past ten years. If a desktop PC cost $5,700 ten years ago, and the same computing power cost $410 two years ago, find the rate of decrease per year. (Assume a straight-line model.)

Which of the following pairs of lines are perpendicular?

Determine whether the lines are parallel, perpendicular, or neither. A line passing through (−2,2) and (2,3)( - 2,2 ) \text { and } ( 2,3 )(−2,2) and (2,3) A line passing through (5,−6) and (3,2)( 5 , - 6 ) \text { and } ( 3,2 )(5,−6) and (3,2)

Find the slope of the line that passes through the points (-6,9) and (3,8) .

Graph f(x)=−5f ( x ) = - 5f(x)=−5 .

Let f(x)=45x−1f ( x ) = \frac { 4 } { 5 } x - 1f(x)=54​x−1 . For what value of x is f(x)=2f ( x ) = 2f(x)=2 ?

Sketch the graph of the associated function, g(x)=x2g ( x ) = x ^ { 2 }g(x)=x2 then draw the graph of the function f using a translation and/or a reflection. f(x)=x2−6f ( x ) = x ^ { 2 } - 6f(x)=x2−6

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. 7x+6y=9,6x−7y=67 x + 6 y = 9,6 x - 7 y = 67x+6y=9,6x−7y=6

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Graph the equation using the intercept method. Label the intercepts on the graph. $2 x + 3 y = 6$

Determine whether the given ordered pair is a solution of $y = - 5 x - 3$ . (-1,8)

Graph the equation. $x = - 4$

Use the point-slope form to write an equation of the line with the given properties. slope 3 ; passes through (0,5) Write the equation in slope-intercept form.

Find the slope of the line that passes through the points $\left( - \frac { 3 } { 2 } , \frac { 2 } { 3 } \right) \text { and } \left( \frac { 1 } { 2 } , \frac { 20 } { 3 } \right)$

Determine whether the equation defines y to be a function of x . $y ^ { 2 } = 5 + 7 x$

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( 0,0 ) ; y = 5 x - 9$

Determine whether the lines are parallel, perpendicular, or neither. A line passing through $( - 2,2 ) \text { and } ( 2,3 )$ A line passing through $( 5 , - 6 ) \text { and } ( 3,2 )$

Graph $f ( x ) = - 5$ .

Let $f ( x ) = \frac { 4 } { 5 } x - 1$ . For what value of x is $f ( x ) = 2$ ?

Sketch the graph of the associated function, $g ( x ) = x ^ { 2 }$ then draw the graph of the function f using a translation and/or a reflection. $f ( x ) = x ^ { 2 } - 6$

Determine whether the graphs of the pair of equations are parallel, perpendicular, or neither. $7 x + 6 y = 9,6 x - 7 y = 6$