Apu math 110 final exam

Final

Part 1 of 15 – 4.0/ 4.0 Points

 

Question 1 of 254.0/ 4.0 Points

Find the missing coordinate so that the point (-5,  ) is on the line y = 2x – 5.

 

 A.The missing coordinate is -5.

 B.The missing coordinate is 5.

 C.The missing coordinate is -15.

 D.None of these.

 E.The missing coordinate is 0.

 

 

Part 2 of 15 – 8.0/ 12.0 Points

 

Question 2 of 254.0/ 4.0 Points

Find the missing coordinate to complete the ordered pair so that the point (  , 9) is on the line 3x + y = -3.

 

 

 A.None of these.

 B.4

 C.-2

 D.-24

 E.-4

 

Question 3 of 250.0/ 4.0 Points

Find the slope of the line passing though the points (-1, -5) and (-2, -2). 

 

 A.None of these.

 B.m = 3

 C.m = 7/3

 D.m = – 1/3

 E.m = – 3

 

Question 4 of 254.0/ 4.0 Points

A ball is thrown straight up from an initial height of 112 feet with an initial speed of 96 feet per second. The graph shows the height, in feet, after t seconds. 

 

Use the graph to determine the height of the ball after 1.5 seconds. 

  

 

 A.approximately 225 feet

 B.approximately 200 feet

 C.None of these.

 D.approximately 150 feet

 E.approximately 250 feet

 

 

Part 3 of 15 – 4.0/ 4.0 Points

 

Question 5 of 254.0/ 4.0 Points

Write a general formula to describe the variation if v varies directly with t and v = .4 when t = . 2.

 

 A.v = t + .2

 B.v = 2t

 C.

 D.

 E.None of these

 

 

Part 4 of 15 – 4.0/ 4.0 Points

 

Question 6 of 254.0/ 4.0 Points

Choose the equation of the line with a slope of 2/3 and a y-intercept of (0, 2).  

 

 

 A.3x – 2y = – 6

 B.2x – 3y = – 2

 C.3x – 2y = – 2

 D.None of these.

 E.2x – 3y = – 6

 

 

Part 5 of 15 – 8.0/ 12.0 Points

 

Question 7 of 254.0/ 4.0 Points

Choose the graph of the linear inequality:

 

 

 A. 

 

 B. 

 

 C.None of these.

 D. 

 

 E. 

 

 

Question 8 of 250.0/ 4.0 Points

Choose the equation of a line passing through the point (2, 2) and perpendicular to the line:

 

 

 

 A.

 B.y = 5x – 12

 C.None of these.

 D.y = – 5x + 2

 E.y = – 5x + 12

 

Question 9 of 254.0/ 4.0 Points

Evaluate the following expression if x = – 4:

 

 

 

 A.- 39

 B.41

 C.- 87

 D.89

 E.None of these.

 

 

Part 6 of 15 – 4.0/ 4.0 Points

 

Question 10 of 254.0/ 4.0 Points

When making a telephone call using a calling card, a call lasting 6 minutes costs $2.75. A call lasting 16 minutes costs $6.75. Find a linear function that relates the cost, C, of a making a call to the length, x, of the call, treating length of the call as the independent variable.

 

 A.C = -.4x – 12.25

 B.None of these.

 C.C = .4x + .35

 D.C = -.4x + 5.15

 E.C = -.4x – 9.25

 

 

Part 7 of 15 – 4.0/ 4.0 Points

 

Question 11 of 254.0/ 4.0 Points

True or false:

 

(4, -2) is a solution to the system of equations:

 

x + y = – 6

x – y = – 2

 

 

 True

 False

 

 

 

Part 8 of 15 – 8.0/ 12.0 Points

 

Question 12 of 254.0/ 4.0 Points

Choose the graph of this system of inequalities:

 

 

 

 A. 

 

 B.None of these.

 C. 

 

 D. 

 

 E. 

 

 

Question 13 of 250.0/ 4.0 Points

Solve the following system of equations for x:

 

  4x – 2y = 7

-8x + 4y = – 28

 

 A.These equations represent the same line and there are infinite solutions.

 B.These equations represent parallel lines and there is no solution.

 C.None of these.

 D.x = 2

 E.x = 4/21

 

Question 14 of 254.0/ 4.0 Points

Solve the following system of equations for x:

 

x + 7y = 45

2x + 6y = 34

 

 A.x = 4

 B.x = – 4

 C.None of these.

 D.x = 8

 E.x = – 5

 

 

Part 9 of 15 – 4.0/ 4.0 Points

 

Question 15 of 254.0/ 4.0 Points

Solve this system of equations for x:

 

 

 

 

 A.x = 2

 B.x = – 4

 C.None of these.

 D.x = 4

 E.x = 3

 

 

Part 10 of 15 – 4.0/ 4.0 Points

 

Question 16 of 254.0/ 4.0 Points

Simplify:   

 

 

 A.None of these.

 B.

 C.

 D.

 E.

 

 

Part 11 of 15 – 12.0/ 12.0 Points

 

Question 17 of 254.0/ 4.0 Points

A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?

 

 A.approximately 18.79 feet

 B.225 feet

 C.3 feet

 D.15 feet

 E.None of these.

 

Question 18 of 254.0/ 4.0 Points

Multiply:

 

 

 

 A.4

 B.

 C.22

 D.10

 E.None of these.

 

Question 19 of 254.0/ 4.0 Points

Determine the distance between the points (2, 5) and (7, 17).

 

 A.The distance is 15 units.

 B.The distance is 12/5 units.

 C.The distance is 12 units.

 D.The distance is 13 units.

 E.None of these.

 

 

Part 12 of 15 – 4.0/ 4.0 Points

 

Question 20 of 254.0/ 4.0 Points

Rationalize the denominator: 

 

 

 A.

 B.-28

 C.

 D.

 E.None of these.

 

 

Part 13 of 15 – 4.0/ 4.0 Points

 

Question 21 of 254.0/ 4.0 Points

Solve for x:

 

 

 

 A.{-7, 7}

 B.{24.5}

 C.None of these.

 D.{-8, 8}

 E.{7}

 

 

Part 14 of 15 – 12.0/ 12.0 Points

 

Question 22 of 254.0/ 4.0 Points

Solve for x:

 

 

 

 A.{5, 13}

 B.None of these.

 C.{-13, -5}

 D.{-7, 25}

 E.No solution

 

Question 23 of 254.0/ 4.0 Points

Solve for x:

 

 

Choose the smaller of the two answers. 

 

 A.There is only one answer and it is -7.

 B.There is no answer in the real numbers.

 C.There is only one answer and it is 7.

 D.The smaller answer is zero.

 E.None of these.

 

Question 24 of 254.0/ 4.0 Points

Solve for x:

 

 

Choose the smaller of the two answers. 

 

 A.The smaller answer is 7.

 B.The smaller answer is -4.

 C.The smaller answer is 4.

 D.None of these.

 E.The smaller answer is -7.

 

 

Part 15 of 15 – 4.0/ 4.0 Points

 

Question 25 of 254.0/ 4.0 Points

The position of an object moving in a straight line is given by the following formula where s is in meters and t is the time in seconds the object has been in motion. 

 

How long (to the nearest tenth) will it take the object to move 8 meters

 

 A.Approximately 10.4 seconds

 B.Approximately 2.9 seconds

 C.Approximately 9.1 seconds

 D.Approximately 5.9 seconds

 E.None of these.