Question 1

Use the slope formula to determine the slope of the line containing the two points. Round tothe nearest hundredth.
(-0)5, -1.9) and (-2.9, -5.2)

Accepted Answer

A)  0.73 
B)  1.38 
C)  2.09 
D)  1.64 
A)  0.73 
B)  1.38 
C)  2.09 
D)  1.64

Question 2

The following table describes the temperature (y) inside an oven, in degrees, x minutes after it was turned on. $\begin{array}{c|cccccccccc}
\text { Temp. }(y) & 72 & 133 & 186 & 237 & 285 & 333 & 379 & 425 & 425 & 425 \
\hline \text { Minutes }(x) & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9
\end{array}$

What is the domain of this relation?

Accepted Answer

A)  $[ 0,9 ]$ 
B)  $( 72,133,186,237,285,333,379,425 \}$ 
C)  $\{ 0,1,2,3,4,5,6,7,8,9 \}$ 
D)  $[ 72,425 ]$ 
A)  $[ 0,9 ]$ 
B)  $( 72,133,186,237,285,333,379,425 \}$ 
C)  $\{ 0,1,2,3,4,5,6,7,8,9 \}$ 
D)  $[ 72,425 ]$

Question 3

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line passes through $( 15,10 )$ and $( 0,10 )$.

Accepted Answer

A)  $y = - \frac { 3 } { 4 } x + \frac { 15 } { 2 }$ 
B)  $y = - \frac { 3 } { 4 } x - \frac { 15 } { 2 }$ 
C)  $x = 10$ 
D)  $y = 10$ 
A)  $y = - \frac { 3 } { 4 } x + \frac { 15 } { 2 }$ 
B)  $y = - \frac { 3 } { 4 } x - \frac { 15 } { 2 }$ 
C)  $x = 10$ 
D)  $y = 10$

Question 4

$$\text { If } g ( y ) = 2 y ^ { 2 } + 2 y + 8 , \text { find } g ( m )$$

Accepted Answer

The answer of \[\text { If } g ( y...

Question 5

Two points are given from each of two lines $L _ { 1 }$ and $L _ { 2 }$. Without graphing the points, determine if the lines are perpendicular, parallel, or neither.
$L _ { 1 } : ( 4,11 )$ and $( 0,7 )$
$L _ { 2 } : ( - 6 , - 4 )$ and $( 7,9 )$

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 6

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through the point (-4, -20) and has a slope of 3.

Accepted Answer

A)  $y = - 3 x - 20$ 
B)  $y = 3 x - 4$ 
C)  $y = 3 x - 20$ 
D)  $y = 3 x - 8$ 
A)  $y = - 3 x - 20$ 
B)  $y = 3 x - 4$ 
C)  $y = 3 x - 20$ 
D)  $y = 3 x - 8$

Question 7

Two points are given from each of two lines $L _ { 1 }$ and $L _ { 2 }$. Without graphing the points, determine if the lines are perpendicular, parallel, or neither.
$L _ { 1 } : ( - 1,3 )$ and $( 8 , - 24 )$
$L _ { 2 } : ( - 9 , - 11 )$ and $( 3 , - 7 )$

Accepted Answer

A)  Perpendicular 
B)  Parallel 
C)  Neither 
A)  Perpendicular 
B)  Parallel 
C)  Neither

Question 8

Write the relation as a set of ordered pairs. $$\begin{array} { c | c } 
\text { Town } & \text { Population } \
\hline \text { Springfield } & 79,000 \
\text { Shelbyville } & 57,000 \
\text { Capital City } & 900,000
\end{array}$$

Accepted Answer

{ (Springfield, 79,0

Question 9

The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. $$m = \frac { 6 } { 5 }$$

Accepted Answer

A)  parallel: $\frac { 5 } { 6 }$; perpendicular: $- \frac { 6 } { 5 }$ 
B)  parallel: $\frac { 6 } { 5 } ;$ perpendicular: $- \frac { 5 } { 6 }$ 
C)  parallel: $- \frac { 6 } { 5 }$; perpendicular: $\frac { 5 } { 6 }$ 
D)  parallel: $- \frac { 5 } { 6 } ;$ perpendicular: $\frac { 6 } { 5 }$ 
A)  parallel: $\frac { 5 } { 6 }$; perpendicular: $- \frac { 6 } { 5 }$ 
B)  parallel: $\frac { 6 } { 5 } ;$ perpendicular: $- \frac { 5 } { 6 }$ 
C)  parallel: $- \frac { 6 } { 5 }$; perpendicular: $\frac { 5 } { 6 }$ 
D)  parallel: $- \frac { 5 } { 6 } ;$ perpendicular: $\frac { 6 } { 5 }$

Question 10

A metal mast is stabilized with 3 guy wires (see figure). Find the slope of one of the guy wires if d = 100 feet and h = 70 ft.  
[The figure is not necessarily drawn to scale.]

Accepted Answer

A)  $\frac { 7 } { 17 }$ 
B)  122 
C)  $\frac { 7 } { 10 }$ 
D)  $\frac { 10 } { 7 }$ 
A)  $\frac { 7 } { 17 }$ 
B)  122 
C)  $\frac { 7 } { 10 }$ 
D)  $\frac { 10 } { 7 }$

Question 11

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. $$\begin{array} { l } 
0.2 x = 0.4 y - 4 \
y - 6 = - 2 x
\end{array}$$

Accepted Answer

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

Question 12

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 4,1 )$ and $( 2,9 )$.

Accepted Answer

A)  $y = - 4 x + 15$ 
B)  $y = - 4 x - 17$ 
C)  $y = - 4 x + 17$ 
D)  $y = 4 x + 15$ 
A)  $y = - 4 x + 15$ 
B)  $y = - 4 x - 17$ 
C)  $y = - 4 x + 17$ 
D)  $y = 4 x + 15$

Question 13

Graph the linear equation. $$x = - y + 4$$

Accepted Answer

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

Question 14

Loraine is enrolled in an algebra class that meets 5 days per week. Her instructor gives a test every Friday. Loraine has a study plan and keeps a portfolio with notes, homework, test corrections, and vocabulary. She also records the amount of time per day that she studies and does homework. The following data represent the amount of time she studied per day and her weekly test grades.   
a. Graph the points on a rectangular coordinate system. Do the data points appear to follow a linear trend?
b. Find a linear equation that relates Loraine's weekly test score y to the amount of time she studied per day x. (Hint: Pick the leftmost and rightmost ordered pairs from the observed data, and find an equation of the line through the points.)
c. How many minutes should Loraine study per day in order to score at least 95% on her weekly examination? Would the equation used to determine the time Loraine needs to study to get 95% work for other students? Why or why not?
d. If Loraine is only able to spend $\frac { 1 } { 2 } \mathrm { hr } / \mathrm { day }$ y studying her math, predict her test score for that week.

Accepted Answer

a. yes @#IMG-DLM& 
b. @#LAT-DLM& 
c. 110 min gives

Question 15

Identify the domain and range of the function.
g(x) = {(-20, -11), (-2, 10), (9, 20), (0, -4)}

Accepted Answer

Domain = {-20, -2, 9

Question 16

Find the domain and range of the relation. Use interval notation where appropriate.

Accepted Answer

A)  Domain: $[ - 1,3 )$
Range: $( - \infty , 3 )$ 
B)  Domain: $( - \infty , 3 )$
Range: $[ - 1 , \infty )$ 
C)  Domain: $( - \infty , 3 )$
Range: $[ - 1,3 )$ 
D)  Domain: $[ - 1 , \infty )$
Range: $( - \infty , 3 )$ 
A)  Domain: $[ - 1,3 )$
Range: $( - \infty , 3 )$ 
B)  Domain: $( - \infty , 3 )$
Range: $[ - 1 , \infty )$ 
C)  Domain: $( - \infty , 3 )$
Range: $[ - 1,3 )$ 
D)  Domain: $[ - 1 , \infty )$
Range: $( - \infty , 3 )$

Question 17

Which relation is NOT a function?

Accepted Answer

A)  {(7, 7), (11, 11), (13, 13), (0, 0)} 
B)  {(-7, 2), (3, 11), (0, 11), (13, 11)} 
C)  {(7, 11), (0, 5), (11, 7), (7, 13)} 
D)  {(7, 11), (11, 13), (-7, 13), (13, 11)} 
A)  {(7, 7), (11, 11), (13, 13), (0, 0)} 
B)  {(-7, 2), (3, 11), (0, 11), (13, 11)} 
C)  {(7, 11), (0, 5), (11, 7), (7, 13)} 
D)  {(7, 11), (11, 13), (-7, 13), (13, 11)}

Question 18

Determine the slope and the y-intercept of the line. 63 = -9y

Accepted Answer

A)  Slope: 0; y-intercept: (0, -7) 
B)  Slope: undefined; y-intercept: (-7, 0) 
C)  Slope: 0; y-intercept: (-7, 0) 
D)  Slope: 1; y-intercept: (0, -7) 
A)  Slope: 0; y-intercept: (0, -7) 
B)  Slope: undefined; y-intercept: (-7, 0) 
C)  Slope: 0; y-intercept: (-7, 0) 
D)  Slope: 1; y-intercept: (0, -7)

Question 19

At one college, a study found that the average grade point average decreased linearlyaccording to the function $g ( h ) = 3.05 - 0.05 h$ where h is the number of hours per week spent watching reality shows on television. Compute g(5) and interpret its meaning.

Accepted Answer

g(5) = 2.80. This tells us tha

Question 20

Sketch a graph by completing the table and plotting points. $$\begin{array}{l}
g ( x ) = \frac { 1 } { x }\
\begin{array} { | c | c | c | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & - \frac { 1 } { 2 } & - \frac { 1 } { 4 } & \frac { 1 } { 4 } & \frac { 1 } { 2 } & 1 & 2 \
\hline g ( x ) & & & & & & & & \
\hline
\end{array}
\end{array}$$

Accepted Answer

\[\begin{array} { | c | c | c | c | c |

Use the slope formula to determine the slope of the line containing the two points. Round tothe nearest hundredth. (-0)5, -1.9) and (-2.9, -5.2)

The following table describes the temperature (y) inside an oven, in degrees, x minutes after it was turned on. Temp. (y) 72 133 186 237 285 333 379 425 425 425 Minutes (x) 0 1 2 3 4 5 6 7 8 9 What is the domain of this relation?

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line passes through $( 15,10 )$ and $( 0,10 )$ .

$\text { If } g ( y ) = 2 y ^ { 2 } + 2 y + 8 , \text { find } g ( m )$

Two points are given from each of two lines $L _ { 1 }$ and $L _ { 2 }$ . Without graphing the points, determine if the lines are perpendicular, parallel, or neither. $L _ { 1 } : ( 4,11 )$ and $( 0,7 )$ $L _ { 2 } : ( - 6 , - 4 )$ and $( 7,9 )$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through the point (-4, -20) and has a slope of 3.

Two points are given from each of two lines $L _ { 1 }$ and $L _ { 2 }$ . Without graphing the points, determine if the lines are perpendicular, parallel, or neither. $L _ { 1 } : ( - 1,3 )$ and $( 8 , - 24 )$ $L _ { 2 } : ( - 9 , - 11 )$ and $( 3 , - 7 )$

Write the relation as a set of ordered pairs. Town Population Springfield 79,000 Shelbyville 57,000 Capital City 900,000

The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. $m = \frac { 6 } { 5 }$

A metal mast is stabilized with 3 guy wires (see figure). Find the slope of one of the guy wires if d = 100 feet and h = 70 ft. [The figure is not necessarily drawn to scale.]

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 0.2x=0.4y-4 y-6=-2x

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 4,1 )$ and $( 2,9 )$ .

Graph the linear equation. $x = - y + 4$

Identify the domain and range of the function. g(x) = {(-20, -11), (-2, 10), (9, 20), (0, -4)}

Find the domain and range of the relation. Use interval notation where appropriate.

Which relation is NOT a function?

Determine the slope and the y-intercept of the line. 63 = -9y

At one college, a study found that the average grade point average decreased linearlyaccording to the function $g ( h ) = 3.05 - 0.05 h$ where h is the number of hours per week spent watching reality shows on television. Compute g(5) and interpret its meaning.

Sketch a graph by completing the table and plotting points. g(x)= x -2 -1 - - 1 2 g(x)

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

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Exam 2: Linear Equations in Two Variables and Functions

Use the slope formula to determine the slope of the line containing the two points. Round tothe nearest hundredth. (-0)5, -1.9) and (-2.9, -5.2)

The following table describes the temperature (y) inside an oven, in degrees, x minutes after it was turned on. Temp. (y) 72 133 186 237 285 333 379 425 425 425 Minutes (x) 0 1 2 3 4 5 6 7 8 9 What is the domain of this relation?

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line passes through (15,10)( 15,10 )(15,10) and (0,10)( 0,10 )(0,10) .

If g(y)=2y2+2y+8, find g(m)\text { If } g ( y ) = 2 y ^ { 2 } + 2 y + 8 , \text { find } g ( m ) If g(y)=2y2+2y+8, find g(m)

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through the point (-4, -20) and has a slope of 3.

Write the relation as a set of ordered pairs. Town Population Springfield 79,000 Shelbyville 57,000 Capital City 900,000

The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. m=65m = \frac { 6 } { 5 }m=56​

A metal mast is stabilized with 3 guy wires (see figure). Find the slope of one of the guy wires if d = 100 feet and h = 70 ft. [The figure is not necessarily drawn to scale.]

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 0.2x=0.4y-4 y-6=-2x

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through (4,1)( 4,1 )(4,1) and (2,9)( 2,9 )(2,9) .

Graph the linear equation. x=−y+4x = - y + 4x=−y+4

Identify the domain and range of the function. g(x) = {(-20, -11), (-2, 10), (9, 20), (0, -4)}

Find the domain and range of the relation. Use interval notation where appropriate.

Which relation is NOT a function?

Determine the slope and the y-intercept of the line. 63 = -9y

At one college, a study found that the average grade point average decreased linearlyaccording to the function g(h)=3.05−0.05hg ( h ) = 3.05 - 0.05 hg(h)=3.05−0.05h where h is the number of hours per week spent watching reality shows on television. Compute g(5) and interpret its meaning.

Sketch a graph by completing the table and plotting points. g(x)= x -2 -1 - - 1 2 g(x)

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line passes through $( 15,10 )$ and $( 0,10 )$ .

$\text { If } g ( y ) = 2 y ^ { 2 } + 2 y + 8 , \text { find } g ( m )$

The slope of a line is given. Find the slope of a line parallel to the given line and perpendicular to the given line. $m = \frac { 6 } { 5 }$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 4,1 )$ and $( 2,9 )$ .

Graph the linear equation. $x = - y + 4$

At one college, a study found that the average grade point average decreased linearlyaccording to the function $g ( h ) = 3.05 - 0.05 h$ where h is the number of hours per week spent watching reality shows on television. Compute g(5) and interpret its meaning.