Unit Test — Unit test Answers

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Review the work showing the first few steps in writing a partial fraction decomposition.x3 + 8x – 3 = (Ax + B)(x2 + 5) + Cx + Dx3 + 8x – 3 = Ax3 + 5Ax + Bx2 + 5B + Cx + D

Question illustration
A
A = 0; B = 1; C = –3; D = 3
B
A = 0; B = 1; C = 3; D = –3
C
A = 1; B = 0; C = –3; D = 3
D
A = 1; B = 0; C = 3; D = –3
2
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What is the correct form of the partial fraction decomposition for ?

Question illustration
A
StartFraction A Over x + 2 EndFraction + StartFraction B Over (x + 2) squared EndFraction
Option A
B
StartFraction A Over x + 2 EndFraction + StartFraction B x + C Over (x + 2) squared EndFraction
Option B
C
StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C Over (x + 2) squared EndFraction
Option C
D
StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C x + D Over (x + 2) squared EndFraction
Option D
3

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of ?

Question illustration
A
A + StartFraction B Over x + 3 EndFraction + StartFraction C Over 2 x minus 7 EndFraction
Option A
B
A + StartFraction B x + C Over x + 3 EndFraction + StartFraction D x + E Over 2 x minus 7 EndFraction
Option B
C
A x + B + StartFraction C Over x + 3 EndFraction + StartFraction D Over 2 x minus 7 EndFraction
Option C
D
A x + B + StartFraction C x + D Over x + 3 EndFraction + StartFraction E x + F Over 2 x minus 7 EndFraction
Option D
4

What is the partial fraction decomposition of ?

Question illustration
A
StartFraction 1 Over 3 x EndFraction + StartFraction x minus 2 Over 4 x squared + 9 EndFraction
Option A
B
StartFraction 1 Over 3 x EndFraction + StartFraction x + 2 Over 4 x squared + 9 EndFraction
Option B
C
StartFraction negative 2 Over 3 x EndFraction + StartFraction x minus 1 Over 4 x squared + 9 EndFraction
Option C
D
StartFraction negative 2 Over 3 x EndFraction + StartFraction x + 1 Over 4 x squared + 9 EndFraction
Option D
5

Which of the following is the result of the operation below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

The diagram below shows rectangle ABCD.Which points are in the image of rectangle ABCD under the transformation: ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Jeremy’s fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 watermelons are sold for a total of $150. In the second hour, 15 bushels of peaches and 8 watermelons are sold for a total of $198. A bushel of peaches costs p dollars, and a watermelon costs w dollars. Which matrix equation represents the situation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Elise, Maggie, and Francesca work for an insurance company making follow-up calls to clients. Each person works at a different rate. The table below shows the number of hours each person works over three days and the total number of calls that are made. Hours Worked and Total Calls Made EliseMaggieFrancescaTotal CallsMonday778247Tuesday659218Wednesday931156Elise makes the same number of calls every hour, Maggie makes the same number of calls every hour, and Francesca makes the same number of calls every hour. If Elise earns $1.50 per phone call, how much money does Elise make over the 3 days?

A
$297.00
B
$370.50
C
$396.00
D
$429.00
9

The graph below shows the transformation from triangle 1 to triangle 2.Which sequence of steps would transform triangle 1 to triangle 2?

Question illustration
A
reflect across the y-axis; rotate 180° counterclockwise about the origin
B
reflect across the x-axis; rotate 270° counterclockwise about the origin
C
reflect across the y-axis; rotate 90° counterclockwise about the origin
D
rotate 90° counterclockwise about the origin; rotate 270° counterclockwise about the origin
10

Which determinants can be used to solve for x and y in the system of linear equations below?

Question illustration
A
, ,
Option A
B
, ,
Option B
C
, ,
Option C
D
, ,
Option D
11

Which equation can be used to determine x-value of the solution in the system of linear equations below?

Question illustration
A
= 52
Option A
B
= 18
Option B
C
= 18
Option C
D
= 52
Option D

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