Operation of Rational Algebraic Expressions

​Operations of Rational Algebraic Expressions

Grade 8 Mathematics

Open Ended

What is your idea about operations of Rational Algebraic Expressions?

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​Multiplying RAE

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Multiple Choice

Simplify $$\frac{2}{x-1}\left(\frac{x^2-1}{8}\right)$$  

• $$\frac{x+1}{4}$$  

• $$\frac{4}{x+1}$$  

• $$\frac{x-1}{4}$$  

• $$\frac{4}{x-1}$$  

​Let's Operate!

Dividing RAE​

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Multiple Choice

Simplify $$\frac{2x-1}{x^2+5x+6}\div\frac{10x-5}{x+3}$$  

• $$\frac{5}{x+2}$$  

• $$5\left(x+2\right)$$  

• $$\frac{1}{5\left(x+2\right)}$$  

• $$\frac{x+2}{5}$$  

​Let's Operate!

Adding and Subtrcating RAE

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Multiple Choice

Simplify $$\frac{1}{x-3}-\frac{7}{x+3}$$  

• $$\frac{6\left(x-1\right)}{\left(x+3\right)\left(x-3\right)}$$  

• $$\frac{-6\left(x-1\right)}{\left(x+3\right)\left(x-3\right)}$$  

• $$\frac{6\left(x+1\right)}{\left(x+3\right)\left(x-3\right)}$$  

• $$\frac{-6\left(x+1\right)}{\left(x+3\right)\left(x-3\right)}$$  

Multiple Choice

Simplify $$\frac{4m^2-9}{4m+6}\left(\frac{2m-3}{4m^2-12m+9}\right)$$  

• $$\frac{1}{2}$$  

• $$2$$  

• $$\frac{2}{x}$$  

• $$\frac{2m+3}{2}$$  

Multiple Choice

Simplify $$\frac{2y^3+16}{y^2-2y+4}\div\frac{3y^2-y-14}{4y^2}$$  

• $$\frac{3y+7}{8y^2}$$  

• $$\frac{-8y^2}{3y-7}$$  

• $$\frac{3y-7}{8y^2}$$  

• $$\frac{8y^2}{3y-7}$$  

Multiple Choice

SImplify $$\frac{7}{24x^4y}-\frac{5}{18x^2y^3}$$  

• $$\frac{21y^2-20x^2}{72x^4y^3}$$  

• $$\frac{21x^2-20y^2}{72x^4y^3}$$  

• $$\frac{21y^2+20x^2}{72x^4y^3}$$  

• $$\frac{21x^2+20y^2}{72x^4y^3}$$  

​Any questions?

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