Fraction Busters - Sonoma Valley High School

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10.1.4 & 10.2.1

Friday, April 20, 2012

10:03 AM

Assignment: 10.1.4 & 10.2.1 # 34 - 37, 39, 52 - 54

Simplifying

Rational

Expressions

To simplify rational expressions, both the numerator and denominator must first be written in factored form. Then, look for factors that make 1 and simplify.

Multiplying & We can multiply & divide rational expressions just like we

Dividing multiply & divide fractions. The expressions must first be

Chapter 10 Page 1

Dividing

Rational

Expressions multiply & divide fractions. The expressions must first be factored, then simplified where possible. Remember to find the excluded values for x (the values that make the denominator equal zero).

Fraction

Busters -

Solve 2

Chapter 10 Page 2

Solve 2

Busters -

Solving

Equations w/Fractions

This equation would be easier to solve if there were no fractions. Our goal is to find an equivalent equation that has no fractions.

Multiply both sides of the equation by the common denominator (which is 15 in this example).

3 5

2

1

The result is an equation without fractions.

34.

35.

a)

b)

Chapter 10 Page 3

b) c)

2 1

3 7

3 8

1

d)

Chapter 10 Page 4

36.

1.

What values for p are not allowed? How do you know?

2.

Rewrite then solve the equation. Check your

Chapter 10 Page 5

2.

Rewrite then solve the equation. Check your solutions. What happened?

37.

Change each fraction to a simpler equivalent equation. Check your solutions.

Chapter 10 Page 6

SOLVING EQUATIONS USING DIFFERENT METHODS

44) Try an easier one first…

4(x + 3) = 20

Chapter 10 Page 7

4(x + 3) = 20

45) Solving by REWRITING

4(x + 3) = 20

46 Solving by UNDOING

4(x + 3) = 20

47) Solving by LOOKING INSIDE

4(x + 3) = 20

Chapter 10 Page 8

Chapter 10 Page 9

Chapter 10 Page 10

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