Mr. Chua
Pre-Calculus 11
7.1 Equivalent Rational Expressions
Version 1.0
Terms:
1) ___________________________ - an algebraic expression that can be written as the quotient of two polynomials
**Must not contain roots of variables or variables as exponents**
Example: Not Example:
2) ___________________________ - values of the variable that make the denominator 0.
How to simplify rational expression.
Step 1:
Step 2: ______________ - cancel like terms
Step 3: Identify all of the __________________________ of the variables.
1

Mr. Chua
Pre-Calculus 11
7.1 Equivalent Rational Expressions
Version 1.0
Simplify the following expression.
1)
25 s 3 t 5
20 s 4 t 2 r
2)
100 !
2 y
6 !
3 ↵ 3
2
2

Mr. Chua
Pre-Calculus 11
3)
( x 3)( x +4)
( x 2)( x 3)
7.1 Equivalent Rational Expressions
Version 1.0
4)
( a 2)( b +7)
( c +7)( a 2)
3

Mr. Chua
Pre-Calculus 11
5)
2 x +4 y
6 x +12 y
7.1 Equivalent Rational Expressions
Version 1.0
6) x 2 4 x
8 xy 2 x 2 y
4

Mr. Chua
Pre-Calculus 11
7) x 2 3 x +2 x 2 8 x 20
7.1 Equivalent Rational Expressions
Version 1.0
8) y 2 4 y y 2 +4 y 32
5

Mr. Chua
Pre-Calculus 11
9) x 2 4
2 x 2 + x 10
7.1 Equivalent Rational Expressions
Version 1.0
10)
3 x 2 x 14
3 x 2 6 x 24
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