Question 1

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$y + 4 = 0$$ ?

Accepted Answer

A)    ?m = 0
Y-intercept: (0,4) 
B)    ?m = 0
Y-intercept: (0,-4) 
C)    ?m is undefined.There is no y-intercept. 
D)    ?m = 0
Y-intercept: (0,-4) 
E)    ? ?m = 0
There is no y-intercept. 
A)    ?m = 0
Y-intercept: (0,4) 
B)    ?m = 0
Y-intercept: (0,-4) 
C)    ?m is undefined.There is no y-intercept. 
D)    ?m = 0
Y-intercept: (0,-4) 
E)    ? ?m = 0
There is no y-intercept.

Question 2

Find the slope of the line determined by the equation.? $9 x + 10 y = 11$ ?

Accepted Answer

A)  $m = - 9$ 
B)  $m = 9$ 
C)  $m = - \frac { 9 } { 10 }$ 
D)  $m = \frac { 11 } { 10 }$ 
E)  $m = - 10$ 
A)  $m = - 9$ 
B)  $m = 9$ 
C)  $m = - \frac { 9 } { 10 }$ 
D)  $m = \frac { 11 } { 10 }$ 
E)  $m = - 10$

Question 3

A microchip manufacturer pays its assembly line workers $12.25 per hour.In addition,workers receive a piecework rate of $0.3 per unit produced.Select a linear equation for the hourly wage W in terms of the number of units x produced per hour. ?

Accepted Answer

A)  $W = 0.3 x + 12.25$ 
B)  $W = 0.3 x - 12.25$ 
C)  $W = 12.25 x + 0.3$ 
D)  $W = 12.25 x - 0.3$ 
E)  $W = 12.55 x$ 
A)  $W = 0.3 x + 12.25$ 
B)  $W = 0.3 x - 12.25$ 
C)  $W = 12.25 x + 0.3$ 
D)  $W = 12.25 x - 0.3$ 
E)  $W = 12.55 x$

Question 4

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x,the number of miles driven. ?

Accepted Answer

A)  $C = 0.53 + 160 x$ 
B)  $C = 0.53 x + 160$ 
C)  $C = - 0.53 x - 160$ 
D)  $C = 0.53 x - 160$ 
E)  $C = - 0.53 x + 160$ 
A)  $C = 0.53 + 160 x$ 
B)  $C = 0.53 x + 160$ 
C)  $C = - 0.53 x - 160$ 
D)  $C = 0.53 x - 160$ 
E)  $C = - 0.53 x + 160$

Question 5

Estimate the slope of the line.​   ​

Accepted Answer

A) 5.5 
B) 3.5 
C) 4.5 
D) 6.5 
E) Undefined 
A) 5.5 
B) 3.5 
C) 4.5 
D) 6.5 
E) Undefined

Question 6

Find the slope of the line through P(-8,-5)and Q(2,35).

Accepted Answer

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

Question 7

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.? $$\mathrm { P } ( 6,4 ) , \mathrm { Q } ( - 6 , - 6 )$$ ?

Accepted Answer

A) y = $\frac { 5 } { 6 }$ x+1   
B) y = $\frac { 5 } { 6 }$ x-6   
C) y = $\frac { 6 } { 5 }$ x-2   
D) y = $\frac { 5 } { 6 }$ x-1   
E) y = - $\frac { 5 } { 6 }$ x-2   
A) y = $\frac { 5 } { 6 }$ x+1   
B) y = $\frac { 5 } { 6 }$ x-6   
C) y = $\frac { 6 } { 5 }$ x-2   
D) y = $\frac { 5 } { 6 }$ x-1   
E) y = - $\frac { 5 } { 6 }$ x-2

Question 8

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$3 y + 6 = 0$$ ?

Accepted Answer

A)    ?m = 0
Y-intercept: (0,-2) 
B)    ?m = 0
There is no y-intercept. 
C)    m = -6
Y-intercept: (0,3) 
D)    ?m = -3
Y-intercept: (0,6) 
E) ?   ?m is undefined.y-intercept: (0,-2) 
A)    ?m = 0
Y-intercept: (0,-2) 
B)    ?m = 0
There is no y-intercept. 
C)    m = -6
Y-intercept: (0,3) 
D)    ?m = -3
Y-intercept: (0,6) 
E) ?   ?m is undefined.y-intercept: (0,-2)

Question 9

Write the equation of the line that passes through the point P(0,0)and is parallel to the line y = 8x - 7. ​

Accepted Answer

A) x = 8y 
B) y = 7x +8 
C) y = -7x 
D) y = 8x 
E) y = 7x 
A) x = 8y 
B) y = 7x +8 
C) y = -7x 
D) y = 8x 
E) y = 7x

Question 10

Find the y-intercept of the line determined by the equation.? $$- 7 x + 4 y = 3$$ ?

Accepted Answer

A)  $\left( 0 , \frac { 7 } { 4 } \right)$ 
B)  $\left( 0 , \frac { 3 } { 4 } \right)$ 
C)  $\left( 0 , - \frac { 3 } { 4 } \right)$ 
D)  $\left( - \frac { 7 } { 4 } , 0 \right)$ 
E)  $\left( 0 , - \frac { 7 } { 4 } \right)$ 
A)  $\left( 0 , \frac { 7 } { 4 } \right)$ 
B)  $\left( 0 , \frac { 3 } { 4 } \right)$ 
C)  $\left( 0 , - \frac { 3 } { 4 } \right)$ 
D)  $\left( - \frac { 7 } { 4 } , 0 \right)$ 
E)  $\left( 0 , - \frac { 7 } { 4 } \right)$

Question 11

The graph shows the sales (in billions of dollars)for Apple Inc.for the years 2001 through 2007.​   Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places. ​

Accepted Answer

A) -5.07 
B) 2.07 
C) 7.07 
D) 3.07 
E) -2.07 
A) -5.07 
B) 2.07 
C) 7.07 
D) 3.07 
E) -2.07

Question 12

Carl's Tractor Service purchases a used brush mower for $1445.The machine has a useful life of 5 years after which time another one will have to be purchased.Assume depreciation of the machine is linear.Write a linear equation giving the value V of the used brush mower during the 5 years it will be in use.

Accepted Answer

A)  $V = - \frac { 1 } { 289 } t - 1445$ 
B)  $V = 289 t - 1445$ 
C)  $V = - \frac { 1 } { 289 } t + 5$ 
D)  $V = \frac { 1 } { 289 } t + 5$ 
E)  $V = - 289 t + 1445$ ? 
A)  $V = - \frac { 1 } { 289 } t - 1445$ 
B)  $V = 289 t - 1445$ 
C)  $V = - \frac { 1 } { 289 } t + 5$ 
D)  $V = \frac { 1 } { 289 } t + 5$ 
E)  $V = - 289 t + 1445$ ?

Question 13

Write the equation of the line that passes through the point P (0,0)and is perpendicular to the line y = - 2x + 10. ?

Accepted Answer

A)  $y = \frac { 1 } { 2 } x$ 
B)  $y = - \frac { 1 } { 10 } x$ 
C)  $y = - 10 x$ 
D)  $y = 2 x$ 
E)  $y = - \frac { 1 } { 2 } x + 10$ 
A)  $y = \frac { 1 } { 2 } x$ 
B)  $y = - \frac { 1 } { 10 } x$ 
C)  $y = - 10 x$ 
D)  $y = 2 x$ 
E)  $y = - \frac { 1 } { 2 } x + 10$

Question 14

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. ​
The line has a slope of m = 500.
​

Accepted Answer

A) Revenues increasing 500 units/day 
B) No change in revenues 
C) Revenues decreasing 500 units/day 
D) None of the above 
A) Revenues increasing 500 units/day 
B) No change in revenues 
C) Revenues decreasing 500 units/day 
D) None of the above

Question 15

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select the correct answer for the line. ?
P(3,-7),m is undefined.
?

Accepted Answer

A)  $$x = 3 y - 7$$   
B)  $$y = 3$$   ? 
C)  $$x = - 7$$   
D)  $$x = 3$$   ? 
E)  $$y = 3 x - 7$$   
A)  $$x = 3 y - 7$$   
B)  $$y = 3$$   ? 
C)  $$x = - 7$$   
D)  $$x = 3$$   ? 
E)  $$y = 3 x - 7$$

Question 16

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-4,9) line: 6x - 30y = 6

Accepted Answer

A) ? $y = - \frac { 1 } { 6 } x + \frac { 1 } { 3 }$ 
B) ? $y = - 5 x - \frac { 4 } { 5 }$ 
C) ? $y = - 5 x - 11$ 
D) ? $y = 6 x - 15$ 
E) ? $y = \frac { 1 } { 5 } x + \frac { 4 } { 5 }$ 
A) ? $y = - \frac { 1 } { 6 } x + \frac { 1 } { 3 }$ 
B) ? $y = - 5 x - \frac { 4 } { 5 }$ 
C) ? $y = - 5 x - 11$ 
D) ? $y = 6 x - 15$ 
E) ? $y = \frac { 1 } { 5 } x + \frac { 4 } { 5 }$

Question 17

A sub shop purchases a used pizza oven for $885.After 5 years,the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use. ?

Accepted Answer

A)  $V = - 177 + 885 t$ 
B)  $V = - 177 t - 885$ 
C)  $V = 177 t - 885$ 
D)  $V = 177 t + 885$ 
E)  $V = - 177 t + 885$ ? 
A)  $V = - 177 + 885 t$ 
B)  $V = - 177 t - 885$ 
C)  $V = 177 t - 885$ 
D)  $V = 177 t + 885$ 
E)  $V = - 177 t + 885$ ?

Question 18

Find the slope of the line passing through the pair of points. ?
P (-9,14);Q (-18,-2)
?

Accepted Answer

A) m = $\frac { 16 } { 9 }$ 
B) m = - $\frac { 9 } { 16 }$ 
C) m = - $\frac { 16 } { 9 }$ 
D) m = $\frac { 9 } { 16 }$ 
E) none of these 
A) m = $\frac { 16 } { 9 }$ 
B) m = - $\frac { 9 } { 16 }$ 
C) m = - $\frac { 16 } { 9 }$ 
D) m = $\frac { 9 } { 16 }$ 
E) none of these

Question 19

The graph shows the average salaries for senior high school principals from 1996 through 2008.​   ​ Find the slope of the line segment connecting the points for the years 1998 and 2002.
​

Accepted Answer

A) -2394 
B) 2391 
C) -2391 
D) 2396 
E) 2392 
A) -2394 
B) 2391 
C) -2391 
D) 2396 
E) 2392

Question 20

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$y = 8 x + 1$$ ?

Accepted Answer

A) ?   m = -8
Y-intercept: (0,1) 
B) ?   m = -1
Y-intercept: (0,1) 
C) ?   m is undefined.y-intercept: (0,1) 
D) ?   m = 1
Y-intercept: (0,1) 
E)    ? m = 8
Y-intercept: (0,1) 
A) ?   m = -8
Y-intercept: (0,1) 
B) ?   m = -1
Y-intercept: (0,1) 
C) ?   m is undefined.y-intercept: (0,1) 
D) ?   m = 1
Y-intercept: (0,1) 
E)    ? m = 8
Y-intercept: (0,1)

Exam 3: Linear Equations in Two Variables

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? y+4=0y + 4 = 0y+4=0 ?

Find the slope of the line determined by the equation.? 9x+10y=119 x + 10 y = 119x+10y=11 ?

A microchip manufacturer pays its assembly line workers $12.25 per hour.In addition,workers receive a piecework rate of $0.3 per unit produced.Select a linear equation for the hourly wage W in terms of the number of units x produced per hour. ?

A sales representative of a company using a personal car receives $160 per day for lodging and meals plus $0.53 per mile driven.Select a linear equation giving the daily cost C to the company in terms of x,the number of miles driven. ?

Estimate the slope of the line.​ ​

Find the slope of the line through P(-8,-5)and Q(2,35).

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.? P(6,4),Q(−6,−6)\mathrm { P } ( 6,4 ) , \mathrm { Q } ( - 6 , - 6 )P(6,4),Q(−6,−6) ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? 3y+6=03 y + 6 = 03y+6=0 ?

Write the equation of the line that passes through the point P(0,0)and is parallel to the line y = 8x - 7. ​

Find the y-intercept of the line determined by the equation.? −7x+4y=3- 7 x + 4 y = 3−7x+4y=3 ?

The graph shows the sales (in billions of dollars)for Apple Inc.for the years 2001 through 2007.​ Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places. ​

Write the equation of the line that passes through the point P (0,0)and is perpendicular to the line y = - 2x + 10. ?

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. ​ The line has a slope of m = 500. ​

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select the correct answer for the line. ? P(3,-7),m is undefined. ?

Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-4,9) line: 6x - 30y = 6

A sub shop purchases a used pizza oven for $885.After 5 years,the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use. ?

Find the slope of the line passing through the pair of points. ? P (-9,14);Q (-18,-2) ?

The graph shows the average salaries for senior high school principals from 1996 through 2008.​ ​ Find the slope of the line segment connecting the points for the years 1998 and 2002. ​

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? y=8x+1y = 8 x + 1y=8x+1 ?

Rectangular Coordinates

Graphs of Equations

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Ellipses

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $y + 4 = 0$ ?

Find the slope of the line determined by the equation.? $9 x + 10 y = 11$ ?

Estimate the slope of the line.

Find the slope-intercept form of the equation of the line passing through the points.Select the correct answer for the line.? $\mathrm { P } ( 6,4 ) , \mathrm { Q } ( - 6 , - 6 )$ ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $3 y + 6 = 0$ ?

Write the equation of the line that passes through the point P(0,0)and is parallel to the line y = 8x - 7.

Find the y-intercept of the line determined by the equation.? $- 7 x + 4 y = 3$ ?

The graph shows the sales (in billions of dollars)for Apple Inc.for the years 2001 through 2007. Find the slope of the line segment connecting the points for the years 2003 and 2004.Round the answer to two decimal places.

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. The line has a slope of m = 500.

The graph shows the average salaries for senior high school principals from 1996 through 2008. Find the slope of the line segment connecting the points for the years 1998 and 2002.

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $y = 8 x + 1$ ?