Notes 8.5 Adding and Subtracting Rational Expressions.notebook
No calculators!
Bellwork
1.
5
9
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+
16
9
3.
2.
1
4
­
3
2
11 + 3
50 20
Notes 8.5 Adding and Subtracting Rational Expressions.notebook
February 26, 2015
Notes 8.5 - Adding and Subtracting Rational Expressions
Like Denominators
1.
7 3x + 2
+
x ­ 1 x ­ 1
2.
x 6x + 3
+
2 2
Notes 8.5 Adding and Subtracting Rational Expressions.notebook
3.
3x 5x
­
7 7
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4.
9 2x + 7
­
x + 2 x+2
Notes 8.5 Adding and Subtracting Rational Expressions.notebook
Unlike Denominators
Steps to Simplify:
1. Factor denominator (if possible)
2. Multiply each fraction to create
like denominators
3. Add or subtract like terms in numerators as necessary
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Notes 8.5 Adding and Subtracting Rational Expressions.notebook
February 26, 2015
6.
5.
5
7
+
6x 8x
3 + 5
x ­ 3 x + 2
Notes 8.5 Adding and Subtracting Rational Expressions.notebook
Example 7:
2x + 7 ­ 4 x2 ­ 5x
x2 ­ 6x + 5
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Notes 8.5 Adding and Subtracting Rational Expressions.notebook
Example 8:
x + 1 ­ 3x ­ 7 2x + 4 x2 ­ x ­ 6
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Notes 8.5 Adding and Subtracting Rational Expressions.notebook
Example 9:
x ­ 7 + 3 x2 ­ 2x ­ 8
x2 ­ 4
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Notes 8.5 Adding and Subtracting Rational Expressions.notebook
Example 10:
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Notes 8.5 Adding and Subtracting Rational Expressions.notebook
February 26, 2015
Example 11:
A rectangle has length
feet and width
feet, x > 2. Write a
simplified expression, in terms of x, for the area of this rectangle.
Now write an expression for it’s perimeter.