AnswersCommon Core Algebra I B-ICFactoring Polynomials: Double Grouping

Multiplying and Dividing Rational Expressions Answers

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1
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What is the quotient?

Question illustration
A
StartFraction 2 Over 3 (y minus 5) EndFraction
Option A
B
StartFraction 3 (y minus 5) Over 2 EndFraction
Option B
C
StartFraction (y minus 5) (y + 2) squared Over 6 (y + 3) squared EndFraction
Option C
D
StartFraction 3 (y + 5) (y minus 2) Over 2 (y + 2) EndFraction
Option D
2
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Which expression is equivalent to ?

Question illustration
A
StartFraction 16 f cubed Over 3 EndFraction
Option A
B
StartFraction f Over 3 EndFraction
Option B
C
StartFraction 3 Over 16 f cubed EndFraction
Option C
D
StartFraction 3 Over f EndFraction
Option D
3

What is the product?

Question illustration
A
6(x – 1)2
B
6(x2 – 1)
C
(x + 1)(6x – 1)
D
(x – 1)(6x – 1)
4

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 a Over (2 a minus 1) squared EndFraction
Option A
B
StartFraction 50 a Over (2 a + 1) squared EndFraction
Option B
C
StartFraction (2 a minus 1) squared Over 2 a EndFraction
Option C
D
StartFraction (2 a + 1) squared Over 50 a EndFraction
Option D
5

What is the product?

Question illustration
A
StartFraction 5 Over 4 k squared EndFraction
Option A
B
StartFraction 5 k squared Over 4 EndFraction
Option B
C
StartFraction 5 k Superscript 4 Baseline Over 4 EndFraction
Option C
D
StartFraction 5 Over 4 k Superscript 4 Baseline EndFraction
Option D
6

What is the product?

Question illustration
A
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
Option A
B
StartFraction x (x minus 1) Over 2 EndFraction
Option B
C
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
Option C
D
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction
Option D
7

What is the quotient?

Question illustration
A
Two-thirds
Option A
B
Three-halves
Option B
C
StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction
Option C
D
StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction
Option D
8

What is the product?

Question illustration
A
Two-thirds
Option A
B
Ten-ninths
Option B
C
StartFraction 4 y Over y minus 3 EndFraction
Option C
D
StartFraction 4 y Over y + 3 EndFraction
Option D
9

Which expression is equivalent to divided by x + 1?

Question illustration
A
StartFraction 3 x Over x + 1 EndFraction times StartFraction 1 Over x + 1 EndFraction
Option A
B
StartFraction 3 x Over x + 1 EndFraction divided by StartFraction 1 Over x + 1 EndFraction
Option B
C
StartFraction x + 1 Over 1 EndFraction divided by StartFraction 3 x Over x + 1 EndFraction
Option C
D
StartFraction x + 1 Over 3 x EndFraction times StartFraction x + 1 Over 1 EndFraction
Option D
10

Simplify the expression below.What is the numerator of the simplified expression?

Question illustration
A
2
B
n
C
3n – 2
D
3n + 2
11

What is the product?

Question illustration
A
StartFraction 4 Over 2 k + 1 EndFraction
Option A
B
StartFraction 2 Over k minus 2 EndFraction
Option B
C
StartFraction 2 Over 2 k + 1 EndFraction
Option C
D
StartFraction 2 Over k + 2 EndFraction
Option D
12

What is the product?

Question illustration
A
StartFraction 3 Over a minus 2 EndFraction
Option A
B
StartFraction 3 a Over a minus 2 EndFraction
Option B
C
StartFraction 3 a Over a + 2 EndFraction
Option C
D
StartFraction 3 Over a + 2 EndFraction
Option D

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