Rational Expressions

Rational Expressions

Simplifying Rational Expressions

• Factor the numerator and denominator first

• Cancel/cross out common terms

Examples

• Ms. Gilbert will do 2 examples on the jamboard, which is being shown on her screen in the meeting

• Then, try it on your own!

Multiple Choice

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Multiple Choice

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

Multiple Choice

Simplify 

• A.(x+7)/(x-4)
• B.-3/4
• C.(x+3)/(x+4)
• D.(x+3)/(x-4)

Multiple Choice

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)

Multiplying Rational Expressions

• Factor the numerator and denominator (if possible)

• Cancel/cross our common terms or expressions

• Multiply straight across (numerator by numerator, denominator by denominator)

Examples

• Ms. Gilbert will do 2 examples in the jamboard being presented on her screen in the meeting

• Then, try it on your own!

• 
  

Multiple Choice

• 5x / 3

• 10x / (x - 8)

• 10x

• 6x(x - 8) / 6x

Multiple Choice

• 1

• (x - 8) / (x + 5)

• (x - 5) / (x + 5)

• (x + 1) / (x + 5)

Multiple Choice

• n - 1

• 2(n - 1) / 2

• 2(n - 1)

• 1

Multiple Choice

• (x + 9)

• (x - 3) / (x + 2)

• (x + 9) / (x + 2)

• (x - 3)

Multiple Choice

Multiply and Simplify 

• 4(x+3)/(x+2),
• (x+2)/4(x+1)
• (x+2)/4(x+3),
• 4(x+1)/(x+2), 

Dividing Rational Expressions

• Similar to multiplying tational expressions with one extra step in the beginning

• We can't divide by fractions, so we have to flip it (keep, change, flip)

• Then, we follow the same steps that we used to multiply

Examples

• Ms. Gilbert will do an example on the jamboard being presented in the meeting.

• 
  

• 
  

Multiple Choice

Divide the Rational Expression

• A

• B

• C

• D

Multiple Choice

Divide

• 1/6

• x+10/ 6x+60

• x+8/ 6x+60

• (x+10)(x+8)/ 6x+60

Multiple Choice

Divide the Rational Expression

• A

• B

• C

• D