Rational Expressions

Rational Expressions

10th - 12th Grade

10 Qs

quiz-placeholder

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Rational Expressions

Rational Expressions

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.D.7, HSA.APR.D.6

Standards-aligned

Created by

Mandy Boudwin

Used 16+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Reduce the rational expression to lowest terms:
 x2+4x+4x24\frac{x^2+4x+4}{x^2-4}  

 1x2\frac{1}{x-2}  

 x+2x2\frac{x+2}{x-2}  

-1

 x2x+2\frac{x-2}{x+2}  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Reduce the rational expression to lowest terms: 2x2+5x312x\frac{2x^2+5x-3}{1-2x}  


 (x+3)-\left(x+3\right)  

 (x+6)(x1)12x\frac{\left(x+6\right)\left(x-1\right)}{1-2x}  

 (x+3)(2x1)12x\frac{\left(x+3\right)\left(2x-1\right)}{1-2x}  

 x+3x+3  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Perform the indicated operation and simplify the result. Leave your answer in factored form. x23x10x2+2x35x2+4x21x2+9x+14\frac{x^2-3x-10}{x^2+2x-35}\cdot\frac{x^2+4x-21}{x^2+9x+14}  


 (x5)(x3)(x+5)(x7)\frac{\left(x-5\right)\left(x-3\right)}{\left(x+5\right)\left(x-7\right)}  

 (x3)x7\frac{-\left(x-3\right)}{x-7}  

 (x5)(x+3)(x+5)(x+7)\frac{\left(x-5\right)\left(x+3\right)}{\left(x+5\right)\left(x+7\right)}  

 x3x+7\frac{x-3}{x+7}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 Perform the indicated operation. Simplify the result. Leave the answer in factored form. 
 \frac{\frac{6x}{x^2-4}}{\frac{3x-9}{2x+4}} 

 9x(x3)(x+2)2(x2)\frac{9x\left(x-3\right)}{\left(x+2\right)^2\left(x-2\right)}  

 12x3(x2)(x3)\frac{12x}{3\left(x-2\right)\left(x-3\right)}  

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

 4x(x+2)(x3)\frac{-4x}{\left(x+2\right)\left(x-3\right)}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Subtract the fractions

a
b
c
d

Tags

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Add the fractions

a
b
c
d

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

A
B
C

Tags

CCSS.HSA.APR.D.7

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