Question 1

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-9,-3) $, perpendicular to $ 7 x+8 y=-87 $

Accepted Answer

A)  $ y=\frac{8}{7} x+\frac{51}{7} $ 
B)  $ y=\frac{8}{7} x $ 
C)  $ y=\frac{7}{8} x-51 $ 
D)  $ y=-\frac{8}{7} x-\frac{51}{7} $ 
A)  $ y=\frac{8}{7} x+\frac{51}{7} $ 
B)  $ y=\frac{8}{7} x $ 
C)  $ y=\frac{7}{8} x-51 $ 
D)  $ y=-\frac{8}{7} x-\frac{51}{7} $

Question 2

Why is the slope of a vertical line undefined?

Accepted Answer

The answer of Why is the slope of a vertical...

Question 3

Solve the problem.
-In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.45 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find a linear equation that Can be used to determine the cost, C, of an x-mile taxi ride.

Accepted Answer

A) C = 4.50x 
B) C = 3.00x 
C) C = 2.05x + 2.45 
D) C = 2.45x + 2.05 
A) C = 4.50x 
B) C = 3.00x 
C) C = 2.05x + 2.45 
D) C = 2.45x + 2.05

Question 4

Explain what is wrong with the statement "The line has no slope.

Accepted Answer

Answers may vary. One possibil

Question 5

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-7,4) $ and $ (0,-5) $

Accepted Answer

A)  $ y=-\frac{11}{5} x-5 $ 
B)  $ y=-\frac{9}{7} x-5 $ 
C)  $ y=\frac{9}{7} x-5 $ 
D)  $ y=\frac{11}{5} x-5 $ 
A)  $ y=-\frac{11}{5} x-5 $ 
B)  $ y=-\frac{9}{7} x-5 $ 
C)  $ y=\frac{9}{7} x-5 $ 
D)  $ y=\frac{11}{5} x-5 $

Question 6

Solve the problem.
-The relationship between the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for pickup trucks can be approximated by the linear equation Y = 0.715x + 2.82. Use this equation to predict the dealer invoice price for a pickup truck with a list
Price of 18.0 thousand dollars.

Accepted Answer

A) 21.231 thousand dollars 
B) 15.690 thousand dollars 
C) 12.870 thousand dollars 
D) 19.305 thousand dollars 
A) 21.231 thousand dollars 
B) 15.690 thousand dollars 
C) 12.870 thousand dollars 
D) 19.305 thousand dollars

Question 7

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (2,1) $, perpendicular to $ -7 x+6 y=-8 $

Accepted Answer

A)  $ y=-\frac{6}{7} x+\frac{19}{7} $ 
B)  $ y=-\frac{6}{7} x $ 
C)  $ y=\frac{6}{7} x-\frac{19}{7} $ 
D)  $ y=-\frac{7}{6} x+19 $ 
A)  $ y=-\frac{6}{7} x+\frac{19}{7} $ 
B)  $ y=-\frac{6}{7} x $ 
C)  $ y=\frac{6}{7} x-\frac{19}{7} $ 
D)  $ y=-\frac{7}{6} x+19 $

Question 8

Find an equation in slope-intercept form (where possible) for the line. Through $ (-6,5), \mathrm{m}=0 $

Accepted Answer

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

Question 9

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (2,0) $ and $ (-8,-3) $

Accepted Answer

A)  $ y=-\frac{3}{10} x-\frac{3}{5} $ 
B)  $ y=\frac{2}{5} x-\frac{31}{5} $ 
C)  $ y=-\frac{2}{5} x-\frac{31}{5} $ 
D)  $ y=\frac{3}{10} x-\frac{3}{5} $ 
A)  $ y=-\frac{3}{10} x-\frac{3}{5} $ 
B)  $ y=\frac{2}{5} x-\frac{31}{5} $ 
C)  $ y=-\frac{2}{5} x-\frac{31}{5} $ 
D)  $ y=\frac{3}{10} x-\frac{3}{5} $

Question 10

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-7,3) $ and $ (6,-8) $

Accepted Answer

A)  $ y=-\frac{5}{7} x-\frac{26}{7} $ 
B)  $ y=\frac{11}{13} x-\frac{38}{13} $ 
C)  $ y=\frac{5}{7} x-\frac{26}{7} $ 
D)  $ y=-\frac{11}{13} x-\frac{38}{13} $ 
A)  $ y=-\frac{5}{7} x-\frac{26}{7} $ 
B)  $ y=\frac{11}{13} x-\frac{38}{13} $ 
C)  $ y=\frac{5}{7} x-\frac{26}{7} $ 
D)  $ y=-\frac{11}{13} x-\frac{38}{13} $

Question 11

Find an equation in slope-intercept form (where possible) for the line.
-After two years on the job, an engineer's salary was $50,000. After seven years on the job, her salary was $66,000. Let y represent her salary after x years on the job. Assuming that the change in her Salary over time can be approximated by a straight line, give an equation for this line in the form y = mx + b.

Accepted Answer

A) y = 3200x + 43,600 
B) y = 16,000x + 18,000 
C) y = 3200x + 50,000 
D) y = 16,000x + 50,000 
A) y = 3200x + 43,600 
B) y = 16,000x + 18,000 
C) y = 3200x + 50,000 
D) y = 16,000x + 50,000

Question 12

Write a cost function for the problem. Assume that the relationship is linear.
-An electrician charges a fee of $60 plus $45 per hour. Let C(x)be the cost in dollars of using the electricia

Accepted Answer

A)  $ C(x)=60 x+45 $ 
B)  $ C(x)=45 x+60 $ 
C)  $ C(x)=60 x-45 $ 
D)  $ C(x)=45 x-60 $ n for x hours. 
A)  $ C(x)=60 x+45 $ 
B)  $ C(x)=45 x+60 $ 
C)  $ C(x)=60 x-45 $ 
D)  $ C(x)=45 x-60 $ n for x hours.

Question 13

Evaluate the function as indicated.
-Find $ g\left(c^{2}\right) $ when $ g(x)=-8+3 x $.

Accepted Answer

A)  $ -8+3 x^{2} $ 
B)  $ -8-3 c^{2} $ 
C)  $ -8+c^{2} $ 
D)  $ -8+3 c^{2} $ 
A)  $ -8+3 x^{2} $ 
B)  $ -8-3 c^{2} $ 
C)  $ -8+c^{2} $ 
D)  $ -8+3 c^{2} $

Question 14

Graph the equation.
-x = -5

Accepted Answer

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

Question 15

A lumber yard has fixed costs of $3077.80 a day and variable costs of $1.00 per board-foot produced. The company gets $2.10 per board-foot sold. How many board-feet must be produced
Daily to break even?

Accepted Answer

A) 1865 board-feet 
B) 3077 board-feet 
C) 992 board-feet 
D) 2798 board-feet 
A) 1865 board-feet 
B) 3077 board-feet 
C) 992 board-feet 
D) 2798 board-feet

Question 16

A biologist recorded 9 snakes on 14 acres in one area and 18 snakes on 21 acres in another area. Let y be the number of snakes in x acres. Write a linear equation for the number of snakes.

Accepted Answer

A)  $ y=\frac{9}{7} x+9 $ 
B)  $ y=-\frac{9}{7} x+9 $ 
C)  $ y=\frac{7}{9} x+9 $ 
D)  $ y=\frac{9}{7} x-9 $ 
A)  $ y=\frac{9}{7} x+9 $ 
B)  $ y=-\frac{9}{7} x+9 $ 
C)  $ y=\frac{7}{9} x+9 $ 
D)  $ y=\frac{9}{7} x-9 $

Question 17

Find the slope of the line.

Accepted Answer

A)  $ -6 $ 
B)  1 
C)  $ -1 $ 
D)  6 
A)  $ -6 $ 
B)  1 
C)  $ -1 $ 
D)  6

Question 18

When going more than 38 miles per hour, the gas mileage of a certain car fits the model $ y=43.81-0.395 x $ where $ x $ is the speed of the car in miles per hour and $ y $ is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.)

Accepted Answer

A)  98 miles per hour 
B)  73 miles per hour 
C)  48 miles per hour 
D)  149 miles per hour 
A)  98 miles per hour 
B)  73 miles per hour 
C)  48 miles per hour 
D)  149 miles per hour

Question 19

Give a definition or an example of the word or phrase: Zero slope

Accepted Answer

An equation such as

Question 20

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $9.20
Each, how many must be reground and sold to break even?

Accepted Answer

A)  $ C(x)=1.70 x+215 $
break-even $ =221 $ 
B)  $ C(x)=1.70 x+215 $
break-even $ =29 $ 
C)  $ C(x)=1.70 x+300 $
break-even $ =41 $ 
D)  $ C(x)=1.70 x+300 $
break-even $ =29 $ 
A)  $ C(x)=1.70 x+215 $
break-even $ =221 $ 
B)  $ C(x)=1.70 x+215 $
break-even $ =29 $ 
C)  $ C(x)=1.70 x+300 $
break-even $ =41 $ 
D)  $ C(x)=1.70 x+300 $
break-even $ =29 $

Find an equation in slope-intercept form (where possible) for the line. -Through $(-9,-3)$ , perpendicular to $7 x+8 y=-87$

Why is the slope of a vertical line undefined?

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.45 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find a linear equation that Can be used to determine the cost, C, of an x-mile taxi ride.

Explain what is wrong with the statement "The line has no slope.

Find an equation in slope-intercept form (where possible) for the line. -Through $(-7,4)$ and $(0,-5)$

Find an equation in slope-intercept form (where possible) for the line. -Through $(2,1)$ , perpendicular to $-7 x+6 y=-8$

Find an equation in slope-intercept form (where possible) for the line. Through $(-6,5), \mathrm{m}=0$

Find an equation in slope-intercept form (where possible) for the line. -Through $(2,0)$ and $(-8,-3)$

Find an equation in slope-intercept form (where possible) for the line. -Through $(-7,3)$ and $(6,-8)$

Write a cost function for the problem. Assume that the relationship is linear. -An electrician charges a fee of $60 plus $45 per hour. Let C(x)be the cost in dollars of using the electricia

Evaluate the function as indicated. -Find $g\left(c^{2}\right)$ when $g(x)=-8+3 x$ .

Graph the equation. -x = -5

A lumber yard has fixed costs of $3077.80 a day and variable costs of $1.00 per board-foot produced. The company gets $2.10 per board-foot sold. How many board-feet must be produced Daily to break even?

A biologist recorded 9 snakes on 14 acres in one area and 18 snakes on 21 acres in another area. Let y be the number of snakes in x acres. Write a linear equation for the number of snakes.

Find the slope of the line.

Give a definition or an example of the word or phrase: Zero slope

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $9.20 Each, how many must be reground and sold to break even?

Systems of Linear Equations and Matrices

Filters

Exam 1: Linear Functions

Find an equation in slope-intercept form (where possible) for the line. -Through (−9,−3) (-9,-3) (−9,−3) , perpendicular to 7x+8y=−87 7 x+8 y=-87 7x+8y=−87

Why is the slope of a vertical line undefined?

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.45 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find a linear equation that Can be used to determine the cost, C, of an x-mile taxi ride.

Explain what is wrong with the statement "The line has no slope.

Find an equation in slope-intercept form (where possible) for the line. -Through (−7,4) (-7,4) (−7,4) and (0,−5) (0,-5) (0,−5)

Find an equation in slope-intercept form (where possible) for the line. -Through (2,1) (2,1) (2,1) , perpendicular to −7x+6y=−8 -7 x+6 y=-8 −7x+6y=−8

Find an equation in slope-intercept form (where possible) for the line. Through (−6,5),m=0 (-6,5), \mathrm{m}=0 (−6,5),m=0

Find an equation in slope-intercept form (where possible) for the line. -Through (2,0) (2,0) (2,0) and (−8,−3) (-8,-3) (−8,−3)

Find an equation in slope-intercept form (where possible) for the line. -Through (−7,3) (-7,3) (−7,3) and (6,−8) (6,-8) (6,−8)

Write a cost function for the problem. Assume that the relationship is linear. -An electrician charges a fee of $60 plus $45 per hour. Let C(x)be the cost in dollars of using the electricia

Evaluate the function as indicated. -Find g(c2) g\left(c^{2}\right) g(c2) when g(x)=−8+3x g(x)=-8+3 x g(x)=−8+3x .

Graph the equation. -x = -5

A lumber yard has fixed costs of $3077.80 a day and variable costs of $1.00 per board-foot produced. The company gets $2.10 per board-foot sold. How many board-feet must be produced Daily to break even?

A biologist recorded 9 snakes on 14 acres in one area and 18 snakes on 21 acres in another area. Let y be the number of snakes in x acres. Write a linear equation for the number of snakes.

Find the slope of the line.

Give a definition or an example of the word or phrase: Zero slope

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $9.20 Each, how many must be reground and sold to break even?

Systems of Linear Equations and Matrices

Filters

Find an equation in slope-intercept form (where possible) for the line. -Through $(-9,-3)$ , perpendicular to $7 x+8 y=-87$

Find an equation in slope-intercept form (where possible) for the line. -Through $(-7,4)$ and $(0,-5)$

Find an equation in slope-intercept form (where possible) for the line. -Through $(2,1)$ , perpendicular to $-7 x+6 y=-8$

Find an equation in slope-intercept form (where possible) for the line. Through $(-6,5), \mathrm{m}=0$

Find an equation in slope-intercept form (where possible) for the line. -Through $(2,0)$ and $(-8,-3)$

Find an equation in slope-intercept form (where possible) for the line. -Through $(-7,3)$ and $(6,-8)$

Evaluate the function as indicated. -Find $g\left(c^{2}\right)$ when $g(x)=-8+3 x$ .