Operations with Rational Expressions

Simplify by cancelling

• 1
• -1
• Can't be simplified

Tags

CCSS.HSA.APR.D.6

Simplify

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

Tags

CCSS.HSA.APR.D.6

Simplify.

• A.
• B.
• C.
• D.

Tags

CCSS.HSA.APR.A.1

Simplify. 

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

Tags

CCSS.HSA.APR.D.6

Simplify the expression

• (2a + 4b) / 12b²
• (2a - 4b) / 12b² 
• (a - b) / 6b²
• (a + 2b) / 6b² 

Tags

CCSS.HSA.APR.D.7

When adding and subtracting rational expressions, my first step should be to:

• Combine like terms in the numerators.
• Determine a Least Common Denominator.
• Factor all of the numerators and all of the denominators.
• Change the operator to multiplication and reciprocate the second fraction.

Tags

CCSS.HSA.APR.D.7

To simplify a rational expression, I should

• Eliminate common terms in the numerator and denominator.
• Combine like terms in the numerator and denominator.
• Factor the numerator and denominator and eliminate common factors.
• Find an LCD.

Tags

CCSS.HSA.APR.D.6

My first step will be to change the operator to multiplication and reciprocate (flip) the second fraction when...

• Adding

• Subtracting

• Multiplying

• Dividing

How do we find the restrictions of a rational expression?

• We set the numerator equal to zero and solve for the variable

• We set the denominator equal to zero and solve for the variable

• We plug zero into the numerator and simplify

• We plug zero into the denominator and simplify

What are the restrictions of:    $\frac{c-5}{c+5}$  

•  $c\ne5$  

•  $c\ne-5$  

•  $c\ne5$  and  $c\ne-5$  

• (-5, 0)