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Simplify Rational Expressions

Authored by Lam Doan

Mathematics

9th - 11th Grade

CCSS covered

Used 27+ times

Simplify Rational Expressions
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20 questions

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1.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

A rational expression is a ratio of (a)  

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is NOT a Rational Expression?

 x325x3x\frac{x^3-25x}{\frac{3}{x}}  

 x325x2x211x+5\frac{x^3-25x}{2x^2-11x+5}  

 6x7+8x+256x^7+8x+25  

 25x\frac{2}{5x}  

Tags

CCSS.HSA.APR.D.7

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A rational expression is simplified if its numerator and denominator have ______ common factors.

3

2

1

0

Tags

CCSS.HSA.APR.D.6

4.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

To simplify rational expressions, we can cancel common (a)   .

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Find the domain of

 x2+8x+12x2+3x18\frac{x^2+8x+12}{x^2+3x-18}  
Check all correct answers. 

 x2, x6x\ne-2,\ x\ne-6  

 x3, x6x\ne3,\ x\ne-6  

 (,6)(6, 3)(3,)\left(-\infty,-6\right)\cup\left(-6,\ 3\right)\cup\left(3,\infty\right)  

 (,6)(6, 2)(2,)\left(-\infty,-6\right)\cup\left(-6,\ -2\right)\cup\left(-2,\infty\right)  

 x2, x3x\ne-2,\ x\ne3  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify (to the simplified form) by canceling common factors:

 60x312x5\frac{60x^3}{12x^5}  

 5x3x5, x0\frac{5x^3}{x^5},\ x\ne0  

 6015x2, x0\frac{60}{15x^2},\ x\ne0  

 5x2, x0\frac{5}{x^2},\ x\ne0  

 153x2, x0\frac{15}{3x^2},\ x\ne0  

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the expression:

 30x3y15xy2\frac{30x^3y}{15xy^2}  

 x2y2, x, y0\frac{x^2y}{2},\ x,\ y\ne0  

 2x2, x, y02x^2,\ x,\ y\ne0  

 2x2y, x, y0\frac{2x^2}{y},\ x,\ y\ne0  

 x22y, x, y0\frac{x^2}{2y},\ x,\ y\ne0  

Tags

CCSS.HSA.APR.D.6

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