AnswersAlgebra II - MA3111 A-CRAdding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions Answers

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1
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What is the sum?

Question illustration
A
Five-thirds
Option A
B
StartFraction x + 5 Over x + 3 EndFraction
Option B
C
StartFraction x + 5 Over 3 x + 27 EndFraction
Option C
D
StartFraction 6 x Over x + 3 EndFraction
Option D
2
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What is the sum?

Question illustration
A
StartFraction 8 Over x squared + x minus 6 EndFraction
Option A
B
StartFraction 5 x minus 12 Over x minus 3 EndFraction
Option B
C
StartFraction negative 5 x Over (x + 3) (x minus 3) EndFraction
Option C
D
StartFraction 5 x minus 12 Over (x + 3) (x minus 3)
Option D
3

What is the common denominator of in the complex fraction ?

Question illustration
A
a2 b2
B
a – b
C
a + b
D
ab
4

What is the difference?

Question illustration
A
StartFraction x squared + 3 x + 12 Over (x minus 3) (x minus 5) (x + 7) EndFraction
Option A
B
StartFraction x (x + 3 minus 12) Over (x + 3) (x minus 5) (x + 7) EndFraction
Option B
C
StartFraction x squared + 3 x + 12 Over (x + 3) (x minus 5) (x + 7) EndFraction
Option C
D
StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction
Option D
5

What is the difference?

Question illustration
A
StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction
Option A
B
StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction
Option B
C
StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction
Option C
D
StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction
Option D
6

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction 2 (x minus 2) Over negative 4 x + 7 EndFraction
Option A
B
StartFraction negative 4 x + 7 Over 2 (x minus 2) EndFraction
Option B
C
StartFraction negative 4 x + 7 Over 2 (x squared minus 2) EndFraction
Option C
D
StartFraction 2 (x squared minus 2) Over (negative 4 x + 7) EndFraction
Option D
7

What is the sum?

Question illustration
A
StartFraction 6 Over x squared EndFraction
Option A
B
StartFraction 6 Over x Superscript 4 EndFraction
Option B
C
StartFraction 6 Over 2 x squared EndFraction
Option C
D
StartFraction 8 Over x squared EndFraction
Option D
8

What is the common denominator of in the complex fraction ?

Question illustration
A
3y(y – 3)
B
y(y – 3)
C
3y
D
3
9

Find the sum of the terms. The numerator of the simplified sum is

Question illustration
A
x + 3
B
3x + 6
C
4x + 6
D
4x + 2
10

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction x minus 1 Over 2 x EndFraction
Option A
B
Negative one-half
Option B
C
StartFraction 2 x minus 2 Over x EndFraction
Option C
D
StartFraction 2 x Over x minus 1 EndFraction
Option D

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