Question 1

Which of the following is a constant function?

Accepted Answer

A)    f(x) =16xf ( x )  = \frac { 16 } { x }f(x) =x16​ 
B)    f(x) =29x2f ( x )  = 29 x ^ { 2 }f(x) =29x2 
C)    f(x) =88f ( x )  = 88f(x) =88 
D)    f(x) =17xf ( x )  = 17 xf(x) =17x C

Question 2

Identify the line as either vertical or horizontal, and graph the line. $$- 2 y + 1 = - 5$$

Accepted Answer

A)   Vertical
B)   Vertical
C)   Horizontal
D)   Horizontal  D

Question 3

Which of the lines defined here have only one unique intercept? 
a. x = 8
b. -8x - 7y = -7
c. 9y = 5
d. -3x - 3y = 0

Accepted Answer

A)   b.
B)   b. and d.
C)   a. and c.
D)   a., c., and d. D

Question 4

The graph of p(x) is given. Find p(2).

Accepted Answer

A)   1
B)   0
C)   2
D)   -2

Question 5

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

Accepted Answer

The answer of The following table describes the temperature (y)...

Question 6

Find the domain and range of the relation.

Accepted Answer

The answer of Find the domain and range of the...

Question 7

Write the relation as a set of ordered pairs.

Accepted Answer

The answer of Write the relation as a set of...

Question 8

Determine if the ordered pair is a solution to the linear equation. 4x + 3y = -13; (2, -7)

Accepted Answer

A)   Yes
B)   No

Question 9

List the domain and range. $\begin{array}{|c|c|}
\hline \boldsymbol{x} & \boldsymbol{y} \
\hline-3 & 7 \
\hline-7 & 1 \
\hline 1 & 5 \
\hline-8 & 4 \
\hline-7 & 8 \
\hline 1 & 4 \
\hline
\end{array}$

Accepted Answer

A)   Domain  {−3,−7,1,−8) \{ - 3 , - 7,1 , - 8 ) {−3,−7,1,−8)  ; range  {7,1,5,4,8,4}\{ 7,1,5,4,8,4 \}{7,1,5,4,8,4} 
B)   Domain  {−3,−7,1,−8}\{ - 3 , - 7,1 , - 8 \}{−3,−7,1,−8} ; range  {7,1,5,4,8}\{ 7,1,5,4,8 \}{7,1,5,4,8} 
C)   Domain  {−3,−7,1,−8,−7,1}\{ - 3 , - 7,1 , - 8 , - 7,1 \}{−3,−7,1,−8,−7,1} ; range  {7,1,5,4,8,4}\{ 7,1,5,4,8,4 \}{7,1,5,4,8,4} 
D)   None of the above

Question 10

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $$2 x - y = 0$$

Accepted Answer

A)    y=−2xy = - 2 xy=−2x 
B)    y=2xy = 2 xy=2x 
C)    y=−2xy = - 2 xy=−2x 
D)    y=2xy = 2 xy=2x

Question 11

Write an equation of the line satisfying the given conditions. The line is parallel to the x-axis and passes through (9, 4)

Accepted Answer

A)   x = 4
B)   y = 4
C)   y = 9
D)   x = 9

Question 12

A tool rental store charges a flat fee of $7.00 to rent a chain saw, and $6.75 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $74.50, what's the Maximum number of days you can keep the saw?

Accepted Answer

A)   14 days
B)   10 days
C)   5 days
D)   7 days

Question 13

Determine the slope and the y-intercept of the line. $$7 x + 3 y = - 8$$

Accepted Answer

A)   Slope: Slope:  −73;y- \frac { 7 } { 3 } ; y−37​;y -intercept:  (0,−8) ( 0 , - 8 ) (0,−8)  
B)   Slope: Slope:  −37;y- \frac { 3 } { 7 } ; y−73​;y -intercept:  (0,−38) \left( 0 , - \frac { 3 } { 8 } \right) (0,−83​)  
C)   Slope: Slope:  −73;y- \frac { 7 } { 3 } ; y−37​;y -intercept:  (0,−83) \left( 0 , - \frac { 8 } { 3 } \right) (0,−38​)  
D)   Slope:  73;y\frac { 7 } { 3 } ; y37​;y -intercept:  (0,−83) \left( 0 , - \frac { 8 } { 3 } \right) (0,−38​)

Question 14

Estimate the slope of the line from its graph.

Accepted Answer

A)    23\frac { 2 } { 3 }32​ 
B)    −23- \frac { 2 } { 3 }−32​ 
C)    −32- \frac { 3 } { 2 }−23​ 
D)    32\frac { 3 } { 2 }23​

Question 15

Write an equation of the line satisfying the given conditions. The line passes through (2, 9) and has a zero slope.

Accepted Answer

A)   x = 2
B)   y = 2
C)   x = 9
D)   y = 9

Question 16

Find the x-intercept and the y-intercept and graph both. Then graph the line. $3 x-5 y=-30$

Accepted Answer

A)  
B)  
C)   
D)

Question 17

Consider the function g(y) = {(-5, 22), (-2, 1), (1, -2), (4, 13), (9, 78)}. Find the function value g(-2).

Accepted Answer

The answer of Consider the function g(y) = {(-5, 22),...

Question 18

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. $$\begin{array} { l } 
6 x + 4 y = 5 \
- \frac { 1 } { 2 } x + \frac { 3 } { 4 } y = - 2
\end{array}$$

Accepted Answer

A)   parallel
B)   neither
C)   perpendicular

Question 19

A business owner buys several new computers for the office for $1750 each. The accounting office depreciates each computer by $250 per year. The value y (in $) for each computer can be represented by y = 1750 - 250x, where x is the number of years after purchase. Computer Value Versus Years After Purchase  a. How much will a computer be worth 1 yr after purchase?
b. After how many years will the computer be worth only $250?
c. Determine the y-intercept and interpret its meaning in the context of this problem.
d. Determine the x-intercept and interpret its meaning in the context of this problem.

Accepted Answer

The answer of A business owner buys several new computers...

Question 20

Give the coordinates of the specified point. 
$\text { point VI }$

Accepted Answer

A)   (-3,0) 
B)   (3,0) 
C)   (0,-3) 
D)   (0,3)

Exam 2: Linear Equations in Two Variables and Functions

Which of the following is a constant function?

Identify the line as either vertical or horizontal, and graph the line. $- 2 y + 1 = - 5$

Which of the lines defined here have only one unique intercept? a. x = 8 b. -8x - 7y = -7 c. 9y = 5 d. -3x - 3y = 0

The graph of p(x) is given. Find p(2) .

Find the domain and range of the relation.

Write the relation as a set of ordered pairs.

Determine if the ordered pair is a solution to the linear equation. 4x + 3y = -13; (2, -7)

List the domain and range. $\begin{array}{|c|c|}\hline \boldsymbol{x} & \boldsymbol{y} \\\hline-3 & 7 \\\hline-7 & 1 \\\hline 1 & 5 \\\hline-8 & 4 \\\hline-7 & 8 \\\hline 1 & 4 \\\hline\end{array}$

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $2 x - y = 0$

Write an equation of the line satisfying the given conditions. The line is parallel to the x-axis and passes through (9, 4)

A tool rental store charges a flat fee of $7.00 to rent a chain saw, and $6.75 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $74.50, what's the Maximum number of days you can keep the saw?

Determine the slope and the y-intercept of the line. $7 x + 3 y = - 8$

Estimate the slope of the line from its graph. $Estimate the slope of the line from its graph. A) \frac { 2 } { 3 } B) - \frac { 2 } { 3 } C) - \frac { 3 } { 2 } D) \frac { 3 } { 2 }$

Write an equation of the line satisfying the given conditions. The line passes through (2, 9) and has a zero slope.

Find the x-intercept and the y-intercept and graph both. Then graph the line. $3 x-5 y=-30$

Consider the function g(y) = {(-5, 22), (-2, 1), (1, -2), (4, 13), (9, 78)}. Find the function value g(-2).

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. $\begin{array} { l } 6 x + 4 y = 5 \\- \frac { 1 } { 2 } x + \frac { 3 } { 4 } y = - 2\end{array}$

Give the coordinates of the specified point. $\text { point VI }$ $Give the coordinates of the specified point. \text { point VI } A) (-3,0) B) (3,0) C) (0,-3) D) (0,3)$

Exam 2: Linear Equations in Two Variables and Functions

Which of the following is a constant function?

Identify the line as either vertical or horizontal, and graph the line. −2y+1=−5- 2 y + 1 = - 5−2y+1=−5

Which of the lines defined here have only one unique intercept? a. x = 8 b. -8x - 7y = -7 c. 9y = 5 d. -3x - 3y = 0

The graph of p(x) is given. Find p(2) .

Find the domain and range of the relation.

Write the relation as a set of ordered pairs.

Determine if the ordered pair is a solution to the linear equation. 4x + 3y = -13; (2, -7)

List the domain and range. xy−37−7115−84−7814\begin{array}{|c|c|}\hline \boldsymbol{x} & \boldsymbol{y} \\\hline-3 & 7 \\\hline-7 & 1 \\\hline 1 & 5 \\\hline-8 & 4 \\\hline-7 & 8 \\\hline 1 & 4 \\\hline\end{array}x−3−71−8−71​y715484​​

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. 2x−y=02 x - y = 02x−y=0

Write an equation of the line satisfying the given conditions. The line is parallel to the x-axis and passes through (9, 4)

A tool rental store charges a flat fee of $7.00 to rent a chain saw, and $6.75 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $74.50, what's the Maximum number of days you can keep the saw?

Determine the slope and the y-intercept of the line. 7x+3y=−87 x + 3 y = - 87x+3y=−8

Estimate the slope of the line from its graph.

Write an equation of the line satisfying the given conditions. The line passes through (2, 9) and has a zero slope.

Find the x-intercept and the y-intercept and graph both. Then graph the line. 3x−5y=−303 x-5 y=-303x−5y=−30

Consider the function g(y) = {(-5, 22), (-2, 1), (1, -2), (4, 13), (9, 78)}. Find the function value g(-2).

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 6x+4y=5−12x+34y=−2\begin{array} { l } 6 x + 4 y = 5 \\- \frac { 1 } { 2 } x + \frac { 3 } { 4 } y = - 2\end{array}6x+4y=5−21​x+43​y=−2​

Give the coordinates of the specified point. point VI \text { point VI } point VI

Identify the line as either vertical or horizontal, and graph the line. $- 2 y + 1 = - 5$

List the domain and range. $\begin{array}{|c|c|}\hline \boldsymbol{x} & \boldsymbol{y} \\\hline-3 & 7 \\\hline-7 & 1 \\\hline 1 & 5 \\\hline-8 & 4 \\\hline-7 & 8 \\\hline 1 & 4 \\\hline\end{array}$

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $2 x - y = 0$

Determine the slope and the y-intercept of the line. $7 x + 3 y = - 8$

Estimate the slope of the line from its graph. $Estimate the slope of the line from its graph. A) \frac { 2 } { 3 } B) - \frac { 2 } { 3 } C) - \frac { 3 } { 2 } D) \frac { 3 } { 2 }$

Find the x-intercept and the y-intercept and graph both. Then graph the line. $3 x-5 y=-30$

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. $\begin{array} { l } 6 x + 4 y = 5 \\- \frac { 1 } { 2 } x + \frac { 3 } { 4 } y = - 2\end{array}$

Give the coordinates of the specified point. $\text { point VI }$ $Give the coordinates of the specified point. \text { point VI } A) (-3,0) B) (3,0) C) (0,-3) D) (0,3)$