AnswersAlgebra II - MA3111 A-CRAdding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions Answers

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What is the common denominator of in the complex fraction ?

Question illustration
A
3y(y – 3)
B
y(y – 3)
C
3y
D
3
2
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What is the common denominator of in the complex fraction ?

Question illustration
A
a2 b2
B
a – b
C
a + b
D
ab
3

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
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 minus 1 Over 6 x + 4 EndFraction
Option A
B
StartFraction negative 1 Over 4 x + 2 EndFraction
Option B
C
StartFraction 1 Over x + 2 EndFraction
Option C
D
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction
Option D
6

What is the common denominator of in the complex fraction ?

Question illustration
A
(x + 2)(x – 2)
B
x – 2
C
(x + 2)2(x – 2)
D
x + 2
7

What is the sum?

Question illustration
A
StartFraction 3 x + 4 Over x cubed EndFraction
Option A
B
StartFraction 7 Over x EndFraction
Option B
C
StartFraction 3 x + 4 Over x squared EndFraction
Option C
D
StartFraction 7 Over x + x squared EndFraction
Option D
8

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
9

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction
Option A
B
StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction
Option B
C
StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction
Option C
D
StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
Option D
10

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

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