Multiply the expressions ( n − 1 ) ( n − 5 ) 2 ( n + 3 ) ⋅ 2 ( n + 3 ) n − 5 \frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5} 2 ( n + 3 ) ( n − 1 ) ( n − 5 ) ⋅ n − 5 2 ( n + 3 )

2 ( n − 1 ) n + 3 \frac{2\left(n-1\right)}{n+3} n + 3 2 ( n − 1 )

2 ( n − 1 ) 2\left(n-1\right) 2 ( n − 1 )

Multiply the expression r − 8 7 ( r + 2 ) ⋅ 7 ( r + 2 ) r + 2 \frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2} 7 ( r + 2 ) r − 8 ⋅ r + 2 7 ( r + 2 )

r − 8 r + 2 \frac{r-8}{r+2} r + 2 r − 8

7 ( r − 2 ) r + 2 \frac{7\left(r-2\right)}{r+2} r + 2 7 ( r − 2 )

r − 8 7 \frac{r-8}{7} 7 r − 8

Adding/subtracting/Multiplying/Dividing Rational Expressions

Quiz

•

Mathematics

•

10th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

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

Standards-aligned

Morgan Hale

Used 152+ times

FREE Resource

10 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Add

$\frac{7x}{x^2-5x}+\frac{x^2}{x-5}$

$\frac{x^2+7}{x+5}\$

$\frac{x^2+7}{x-5}\$

$\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)}\$

$\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)}\$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiply and Simplify

$\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$

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

$\frac{x+2}{4\left(x+1\right)}$

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

$\frac{4\left(x+1\right)}{x+2}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify.

$\frac{7m+42}{m^2+3m-18}$

$\frac{m+6}{m-3}$

$\frac{7}{m-3}$

$7\left(m+6\right)$

$m-3$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiple the expressions

$\frac{4p^3}{6p}\cdot\frac{7p^4}{9}$

$\frac{28p^7}{54p}$

$\frac{11p^{12}}{54p}$

$\frac{14p^{11}}{27}$

$\frac{14p^6}{27}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiply the expressions

$\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$

$n-1$

$\frac{2\left(n-1\right)}{n+3}$

$2\left(n-1\right)$

$1$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiply the expression

$\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}$

$\frac{7\left(r-2\right)}{r+2}$

$\frac{r-8}{r+2}$

$\frac{r+2}{7}$

$\frac{r-8}{7}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Divide the Rational Expression

$\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$

$\frac{9}{k-4}$

$\frac{k+7}{8}$

$6$

$k-3$

Tags

CCSS.HSA.APR.D.6

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Adding/subtracting/Multiplying/Dividing Rational Expressions

10 questions

Add

$\frac{7x}{x^2-5x}+\frac{x^2}{x-5}$

Multiply and Simplify

$\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$

Simplify.

$\frac{7m+42}{m^2+3m-18}$

Multiple the expressions

$\frac{4p^3}{6p}\cdot\frac{7p^4}{9}$

Multiply the expressions

$\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$

Multiply the expression

$\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}$

Divide the Rational Expression

$\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$

Divide the Rational Expression

$\frac{6a^2}{15a+10}\div\frac{5}{15a+10}$

Subtract

$\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}$

Subtract

$\frac{x}{2x+3}-\frac{2x+1}{2x-3}$

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Adding/subtracting/Multiplying/Dividing Rational Expressions

10 questions

Add 7xx2−5x+x2x−5\frac{7x}{x^2-5x}+\frac{x^2}{x-5}x2−5x7x​+x−5x2​

Multiply and Simplify x+34⋅x+2x2+4x+3\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}4x+3​⋅x2+4x+3x+2​

Simplify. 7m+42m2+3m−18\frac{7m+42}{m^2+3m-18}m2+3m−187m+42​

Multiple the expressions 4p36p⋅7p49\frac{4p^3}{6p}\cdot\frac{7p^4}{9}6p4p3​⋅97p4​

Multiply the expressions (n−1)(n−5)2(n+3)⋅2(n+3)n−5\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}2(n+3)(n−1)(n−5)​⋅n−52(n+3)​

Multiply the expression r−87(r+2)⋅7(r+2)r+2\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}7(r+2)r−8​⋅r+27(r+2)​

Divide the Rational Expression 6k−4÷k+6k2+2k−24\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}k−46​÷k2+2k−24k+6​

Divide the Rational Expression 6a215a+10÷515a+10\frac{6a^2}{15a+10}\div\frac{5}{15a+10}15a+106a2​÷15a+105​

Subtract x2−32x+7−2x−52x+7\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}2x+7x2−3​−2x+72x−5​

Subtract x2x+3−2x+12x−3\frac{x}{2x+3}-\frac{2x+1}{2x-3}2x+3x​−2x−32x+1​

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Similar Resources on Wayground

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Discover more resources for Mathematics

Add

$\frac{7x}{x^2-5x}+\frac{x^2}{x-5}$

Multiply and Simplify

$\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$

Simplify.

$\frac{7m+42}{m^2+3m-18}$

Multiple the expressions

$\frac{4p^3}{6p}\cdot\frac{7p^4}{9}$

Multiply the expressions

$\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$

Multiply the expression

$\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}$

Divide the Rational Expression

$\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$

Divide the Rational Expression

$\frac{6a^2}{15a+10}\div\frac{5}{15a+10}$

Subtract

$\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}$

Subtract

$\frac{x}{2x+3}-\frac{2x+1}{2x-3}$