Introduction to Rational Algebraic Expressions

​Introduction to rational algebraic expressions

Grade 8 Mathematics

Open Ended

What do you understand in Q1M3 (Quarter 1 Module 3)

​Rational Algebraic Expressions

Let's Watch a video

​

​

Rational Algebraic Expressions

Grade 8 Mathematics

Multiple Select

Which of the following is/are Rational Algebraic Expression?

• $$\frac{4}{x}$$  

• $$\frac{2x+5}{3}$$  

• $$4-x$$  

• $$\frac{7x^2-1}{x+7}$$  

​Identify the numerator and denominator.

Multiple Choice

What is the numerator of $$\frac{1-x}{x+5}$$  ?

• $$1-x$$  

• $$x+5$$  

Multiple Choice

What is the denominator of $$\frac{1-x}{x+5}$$  ?

• $$1-x$$  

• $$x+5$$  

​Evaluating RAE

Substitute then Solve

Example

Grade 8 Mathematics

Multiple Choice

Evaluate $$\frac{2-x}{y+3}$$  if $$x=5$$  and $$y=10$$  

• $$\frac{-3}{13}$$  

• $$\frac{5}{13}$$  

• $$\frac{-13}{3}$$  

• $$\frac{13}{5}$$  

Multiple Choice

Evaluate $$\frac{2x+5}{2y^2-3}$$  if $$x=2$$  and $$y=-2$$  

• $$\frac{9}{5}$$  

• $$\frac{5}{9}$$  

• $$\frac{-9}{5}$$  

• $$\frac{-5}{9}$$  

​Undefined RAE

Zero denominator

Grade 8 Mathematics

​In the denominator

Multiple Choice

When is $$\frac{3-x}{x}$$  undefined?

• If x = 0

• If x = -3

• If x = 3

• If x=-1

Multiple Choice

When is $$\frac{2-x}{2x-1}$$ undefined?

• If $$x=\frac{1}{2}$$    

• If $$x=\frac{-1}{2}$$   

• If $$x=2$$   

• If $$x=-2$$   

​Simplifying RAE

Like Fractions Ever

Let's watch a video

​

Simplifying Rational Algebraic Expressions​

Grade 8 Mathematics

Multiple Choice

Simplify $$\frac{10}{14}$$  

• $$\frac{5}{7}$$  

• $$\frac{2}{3}$$  

• $$\frac{7}{5}$$  

• $$\frac{1}{7}$$  

Multiple Choice

Simplify $$\frac{x^5y^6}{x^2y}$$  

• $$x^3y^5$$  

• $$\frac{1}{x^3y^5}$$  

• $$\frac{x^3}{y^5}$$  

• $$\frac{y^5}{x^3}$$  

Multiple Choice

Simplify $$\frac{\left(a-2\right)\left(a+2\right)}{\left(a+2\right)\left(a-3\right)}$$  

• $$\frac{a-2}{a-3}$$  

• $$\frac{a+2}{a-3}$$  

• $$\frac{a-2}{a+3}$$  

• $$\frac{a}{a+2}$$  

Multiple Choice

Simplify $$\frac{\left(1-y\right)\left(1+y\right)}{\left(y-1\right)\left(y+3\right)}$$  

• $$\frac{-y-1}{y+3}$$  

• $$\frac{y+1}{y+3}$$  

• $$\frac{y-1}{y+3}$$  

• $$\frac{1-y}{y+3}$$  

Multiple Choice

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

• $$\frac{2x+1}{x-3}$$  

• $$\frac{2x-1}{x-3}$$  

• $$\frac{2x-1}{x+3}$$  

• $$\frac{2x+1}{x+3}$$  

​Any Questions?

Grade 8 Mathematics

Open Ended

What is your take - away in this session?

​Thank you

Grade 8 Mathematics