AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Simplifying Rational Expressions by Factoring

Adding and Subtracting Rational Expressions Answers

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1
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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
2
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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
3

What is the sum?

Question illustration
A
StartFraction 5 Over y minus 5 EndFraction
Option A
B
StartFraction 5 (y + 2) Over (y minus 2) (y + 5) EndFraction
Option B
C
StartFraction 5 Over y + 5 EndFraction
Option C
D
StartFraction 5 (y minus 2) Over (y minus 5) (y + 2) EndFraction
Option D
4

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
5

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
6

What is the common denominator of in the complex fraction ?

Question illustration
A
3y(y – 3)
B
y(y – 3)
C
3y
D
3
7

What is the common denominator of in the complex fraction ?

Question illustration
A
a2 b2
B
a – b
C
a + b
D
ab
8

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
9

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
10

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

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