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Quiz on Simplifying Rational Expressions

Authored by David Hedin-Abreu

Mathematics

8th - 12th Grade

CCSS covered

Used 91+ times

Quiz on Simplifying Rational Expressions
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14 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify.   x8y12x4y15\ \frac{x^8y^{12}}{x^4y^{15}}  

 x4y3\frac{x^4}{y^3}  

 x12y3\frac{x^{12}}{y^3}  

 x12y27x^{12}y^{27}  

 y3x4\frac{y^3}{x^4}  

Answer explanation

Domain: All real numbers x0, y0x\ne0,\ y\ne0  .

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify. 

x3x-3

21-21

3-3

x3x\frac{x-3}{x}

Answer explanation

Domain:  x0x\ne0  

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify.

3 x y3

8 x3 y

3 x3 y

8 x y3

Answer explanation

x0, y0x\ne0,\ y\ne0

Domain:

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

  5a3c1020a5c4\ \frac{5a^3c^{10}}{20a^5c^4}  

 4c6a2\frac{4c^6}{a^2}  

 1a2c64\frac{1a^2c^6}{4}  

 1c64a2\frac{1c^6}{4a^2}  

 1a24c6\frac{1a^2}{4c^6}  

Answer explanation

Domain:  a0, c0a\ne0,\ c\ne0  

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify

A. 4x3(x+2)\frac{4x^3}{\left(x+2\right)}

B. 4x³(x+10)\frac{4x³}{(x+10)}

C. 2x³(5x+1)\frac{2x³}{(5x+1)}

D. 4x3(x2)\frac{4x^3}{\left(x-2\right)}

Answer explanation

Domain: x2x\ne-2

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify.

1

-1

Can't be simplified

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

  2x(x2)(x2)(x+5)\ \frac{2x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)} 

 State the domain: mention the values of x which must be excluded to prevent division by zero.

 xx\ne  -2 and 5

 xx\ne  2 and -5

 xx\ne  0, 2, and -5

 xx\ne  0, -2, and 5

Answer explanation

Simplified form is  2xx+5\frac{2x}{x+5}  

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