Adding & Subtracting Rational Expressions

Adding & Subtracting Rational Expressions

9th - 12th Grade

10 Qs

quiz-placeholder

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Adding & Subtracting Rational Expressions

Adding & Subtracting Rational Expressions

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

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

Standards-aligned

Created by

Scott Raine

Used 574+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Add

 2x34x7+2x34x7\frac{2x-3}{4x-7}+\frac{2x-3}{4x-7}  

 4x64x7 , x74\frac{4x-6}{4x-7}\ ,\ x\ne-\frac{7}{4}  

 4x26x+94x7 ,  x74\frac{4x^2-6x+9}{4x-7}\ ,\ \ x\ne\frac{7}{4}  

 4x64x7  , x74\frac{4x-6}{4x-7\ }\ ,\ x\ne\frac{7}{4} 

An 4x68x14, x148\frac{4x-6}{8x-14},\ x\ne\frac{14}{8}  swer 4

Tags

CCSS.HSA.APR.D.7

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Subtract

 x53x+43x53x+4\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}  

 2x103x+4 , 43\frac{-2x-10}{3x+4}\ ,\ -\frac{4}{3}  

 2x3x+4 , x43\frac{-2x}{3x+4}\ ,\ x\ne-\frac{4}{3}  

 2x , x0-2x\ ,\ x\ne0  

 2x10 , x0-2x-10\ ,\ x\ne0  

Tags

CCSS.HSA.APR.D.7

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Subtract

 x232x+72x52x+7\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}  

 x22x82x+7 , x72\frac{x^2-2x-8}{2x+7}\ ,\ x\ne-\frac{7}{2} 

 x22x8 , x0x^2-2x-8\ ,\ x\ne0  

 x22x+2 , x0x^2-2x+2\ ,\ x\ne0  

 x22x+22x+7 ,  x72\frac{x^2-2x+2}{2x+7}\ ,\ \ x\ne-\frac{7}{2}  

Tags

CCSS.HSA.APR.D.7

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Add

 3x2x+2+2x4x1\frac{3x-2}{x+2}+\frac{2x}{4x-1}  

 14x27x+2(x+2)(4x1) , x2, 14\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-2,\ \frac{1}{4}  

 14x29x2(x+2)(4x1) , x2, 1\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-2,\ 1  

 12x27x+2(x+2)(4x1) , x2, 14\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-2,\ \frac{1}{4}  

 14x27x+2(x+2)(4x1) , x14, 2\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\ ,\ x\ne-\frac{1}{4},\ 2  

Tags

CCSS.HSA.APR.D.7

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Subtract

 x2x+32x+12x3\frac{x}{2x+3}-\frac{2x+1}{2x-3}  

 2x211x3(2x3)(2x+3) , x±23\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{2}{3}  

 2x211x3(2x3)(2x+3) , x±32\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{3}{2}  

 2x2+5x+3(2x3)(2x+3) , x±32\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{3}{2}  

 2x2+5x+3(2x3)(2x+3) , x±23\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)}\ ,\ x\ne\pm\frac{2}{3}  

Tags

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Add

 2xx236+x+4x+6\frac{2x}{x^2-36}+\frac{x+4}{x+6}  

 x224(x+6)(x6) , x±6\frac{x^2-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6  

 x3+6x224x(x236)(x+6) x6, 36\frac{x^3+6x^2-24x}{\left(x^2-36\right)\left(x+6\right)}\ x\ne-6,\ 36  

 x2+2x24(x+6)(x6) , x±6\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6  

 x2+12x+24(x+6)(x6) , x±6\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)}\ ,\ x\ne\pm6  

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Add

 2x2x20+3x2+7x+12\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}  

 5x9(x5)(x+4)(x+3) , x5, 3, 4\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4  

 5x11(x5)(x+4)(x+3) , x4, 3, 5\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5  

 5x11(x5)(x+4)(x+3) , x5, 3, 4\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4  

 5x9(x5)(x+4)(x+3) , x4, 3, 5\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5  

Tags

CCSS.HSA.APR.D.7

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