Question 1

Find the constants m and b in the linear function   so that   and   .

Accepted Answer

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

Question 2

If the line passing through the points   and   is parallel to the line passing through the points   and   , what is the value of a?

Accepted Answer

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

Question 3

Sketch a set of coordinate axes and plot the given point. (4.5, -4.5)

Accepted Answer

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

Question 4

Match each graph below with the letter of the corresponding slope description.
a.The slope of the line is zero.
b.The slope of the line is negative, and its y-intercept is negative.
c.The slope of the line is positive, and its x-intercept is positive.
-

Accepted Answer

The answer of Match each graph below with the letter...

Question 5

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b .
4x = 7y   5

Accepted Answer

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

Question 6

Match each graph below with the letter of the corresponding slope description.
a.The slope of the line is undefined.
b.The slope of the line is positive, and its y-intercept is negative.
c.The slope of the line is negative, and its x-intercept is negative.
-

Accepted Answer

The answer of Match each graph below with the letter...

Question 7

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts. ​   ​

Accepted Answer

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

Question 8

Find the slope of the line that passes through the pair of points.   and

Accepted Answer

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

Question 9

Which point has a negative x-coordinate and a negative y-coordinate?

Accepted Answer

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

Question 10

For the supply equation, where x represents the quantity supplied in units of 1,000 and p is the unit price in dollars, determine the number of units of the commodity the supplier will make available in the market at the given unit price. Please round your answer to the nearest unit. 3x - 4p + 24 = 0; p = 8

Accepted Answer

A)  2,967 
B)  2,667 
C)  2,567 
D)  3,167 
A)  2,967 
B)  2,667 
C)  2,567 
D)  3,167

Question 11

Will Barclay wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the following information:   Will wishes to receive Channel 17 (VHF), which is located 26 miles east and 36 mile north of his home, and Channel 38 (UHF), which is located 25 miles south and 29 miles west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Will's home and both broadcasting stations is flat.)

Accepted Answer

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

Question 12

Refer to the accompanying figure and determine the coordinates of the given point.
​   ​
Coordinates: __________
​
Determine the quadrant in which it is located: __________

Accepted Answer

​
(-5, -5)

Question 13

Find the slope of the line that passes through the given pair of points. (   1, 2) and (4, 6)

Accepted Answer

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

Question 14

A server purchased at a cost of $108,000 in 2002 has a scrap value of $18,000 at the end of 5 years. Find the linear equation expressing the server's book value at the end of t years.

Accepted Answer

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

Question 15

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b .
6x   12y   3 = 0

Accepted Answer

A)  y =   x +   
B)    
C)    
D)    
E)    
A)  y =   x +   
B)    
C)    
D)    
E)

Question 16

The Social Security (FICA) wage base (in thousands of dollars) from 1996 to 2001 is given in the accompanying table:   Find an equation of the least-squares line for these data. (Let x = 1 represent the year 1996.) Please round the coefficients in your equation to three decimal places. Use the result to estimate the FICA wage base in the year 2002.

Accepted Answer

A)  y = 3.563x + 58.329; $83,376 
B)  y = 3.574x + 58.440; $83,458 
C)  y = 3.574x + 58.440; $83,683 
D)  y = 3.563x + 58.329; $83,270 
A)  y = 3.563x + 58.329; $83,376 
B)  y = 3.574x + 58.440; $83,458 
C)  y = 3.574x + 58.440; $83,683 
D)  y = 3.563x + 58.329; $83,270

Question 17

Find an equation of the circle that satisfies the given conditions. Radius 9 and center at the origin.

Accepted Answer

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

Question 18

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.
3x + 9p - 84 = 0 and 4x - 15p + 77 = 0
equilibrium quantity __________ units
equilibrium price $ __________

Accepted Answer

The answer of For the pair of supply-and-demand equations, where...

Question 19

Match each graph below with the letter of the corresponding slope description.
a.The slope of the line is undefined.
b.The slope of the line is positive, and its y-intercept is positive.
c.The slope of the line is negative, and its x-intercept is positive.
-

Accepted Answer

The answer of Match each graph below with the letter...

Question 20

Refer to the accompanying figure and determine the coordinates of the given point.
​   ​
Coordinates: __________
​
Determine the quadrant in which it is located: __________

Accepted Answer

The answer of Refer to the accompanying figure and determine...

Find the constants m and b in the linear function so that and .

If the line passing through the points and is parallel to the line passing through the points and , what is the value of a?

Sketch a set of coordinate axes and plot the given point. (4.5, -4.5)

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is zero. b.The slope of the line is negative, and its y-intercept is negative. c.The slope of the line is positive, and its x-intercept is positive. -

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . 4x = 7y 5

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is undefined. b.The slope of the line is positive, and its y-intercept is negative. c.The slope of the line is negative, and its x-intercept is negative. -

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

Find the slope of the line that passes through the pair of points. and

Which point has a negative x-coordinate and a negative y-coordinate?

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Find the slope of the line that passes through the given pair of points. ( 1, 2) and (4, 6)

A server purchased at a cost of $108,000 in 2002 has a scrap value of $18,000 at the end of 5 years. Find the linear equation expressing the server's book value at the end of t years.

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . 6x 12y 3 = 0

Find an equation of the circle that satisfies the given conditions. Radius 9 and center at the origin.

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price. 3x + 9p - 84 = 0 and 4x - 15p + 77 = 0 equilibrium quantity units equilibrium price $

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is undefined. b.The slope of the line is positive, and its y-intercept is positive. c.The slope of the line is negative, and its x-intercept is positive. -

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Exam 1: Straight Lines and Linear Functions

Find the constants m and b in the linear function so that and .

If the line passing through the points and is parallel to the line passing through the points and , what is the value of a?

Sketch a set of coordinate axes and plot the given point. (4.5, -4.5)

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is zero. b.The slope of the line is negative, and its y-intercept is negative. c.The slope of the line is positive, and its x-intercept is positive. -

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . 4x = 7y 5

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is undefined. b.The slope of the line is positive, and its y-intercept is negative. c.The slope of the line is negative, and its x-intercept is negative. -

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts. ​ ​

Find the slope of the line that passes through the pair of points. and

Which point has a negative x-coordinate and a negative y-coordinate?

Refer to the accompanying figure and determine the coordinates of the given point. ​ ​ Coordinates: __________ ​ Determine the quadrant in which it is located: __________

Find the slope of the line that passes through the given pair of points. ( 1, 2) and (4, 6)

A server purchased at a cost of $108,000 in 2002 has a scrap value of $18,000 at the end of 5 years. Find the linear equation expressing the server's book value at the end of t years.

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . 6x 12y 3 = 0

Find an equation of the circle that satisfies the given conditions. Radius 9 and center at the origin.

Match each graph below with the letter of the corresponding slope description. a.The slope of the line is undefined. b.The slope of the line is positive, and its y-intercept is positive. c.The slope of the line is negative, and its x-intercept is positive. -

Refer to the accompanying figure and determine the coordinates of the given point. ​ ​ Coordinates: __________ ​ Determine the quadrant in which it is located: __________

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Sketch the straight line defined by the linear equation by finding the x- and y- intercepts.

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located:

Refer to the accompanying figure and determine the coordinates of the given point. Coordinates: Determine the quadrant in which it is located: