Operations on Rational Expressions

Operations on Rational Expressions

8th Grade

11 Qs

quiz-placeholder

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Operations on Rational Expressions

Operations on Rational Expressions

Assessment

Quiz

Mathematics

8th Grade

Hard

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

Standards-aligned

Created by

Jessabel Santelices

Used 592+ times

FREE Resource

11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify:  36y72z\frac{36y}{72z}  

 4y9z\frac{4y}{9z}  

 y2z\frac{y}{2z}  

 2y3z\frac{2y}{3z}  

 18y38z\frac{18y}{38z}  

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: xyyx\frac{x-y}{y-x}  

 xyyx\frac{x-y}{y-x}  

 1x\frac{1}{-x}  

 1-1  

 1y\frac{-1}{y}  

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify: b2b6b2+4b+4\frac{b^2-b-6}{b^2+4b+4}  

 b6b+4\frac{b-6}{b+4}  

 b+3b+2\frac{b+3}{b+2}  

 b+3b+4\frac{b+3}{b+4}  

 b3b+2\frac{b-3}{b+2}  

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify: r3+j3r2ry+j2\frac{r^3+j^3}{r^2-ry+j^2}  

 r+jrj\frac{r+j}{r-j}  

 (r2+rj+j2)(r2j)\frac{\left(r^2+rj+j^2\right)}{\left(r-2j\right)}  

 r+jr+j  

 (r+j)(r2+rj+j2)(r2j)(r+j)\frac{\left(r+j\right)\left(r^2+rj+j^2\right)}{\left(r-2j\right)\left(r+j\right)}  

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the product: x4x+7×x3x8\frac{x-4}{x+7}\times\frac{x-3}{x-8}  

 x27x+12x2x56\frac{x^2-7x+12}{x^2-x-56}  

 x212x+32x2+4x21\frac{x^2-12x+32}{x^2+4x-21}  

 x2+7x+12x256\frac{x^2+7x+12}{x^2-56}  

 x212x+32x221\frac{x^2-12x+32}{x^2-21}  

Tags

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the product: a+ba3+b3×a2ab+b2ab\frac{a+b}{a^3+b^3}\times\frac{a^2-ab+b^2}{a-b}  

 a+ba2b2\frac{a+b}{a^2-b^2}  

 1ab\frac{1}{a-b}  

 a+ba+b  

1

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the quotient: a243a÷5a2a2\frac{a^2-4}{3a}\div\frac{5a^2}{a-2}  

 5a(a+4)3\frac{5a\left(a+4\right)}{3}  

 a32a24a+815a3\frac{a^3-2a^2-4a+8}{15a^3}  

 5a2+20a3\frac{5a^2+20a}{3}  

 a36a+815a\frac{a^3-6a+8}{15a}  

Tags

CCSS.HSA.APR.D.6

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