Transcript Lesson 8

5-Minute Check on Chapter 2
Transparency 3-1
1. Evaluate 42 - |x - 7| if x = -3
2. Find 4.1  (-0.5)
Simplify each expression
4. (36d – 18) / (-9)
3. 8(-2c + 5) + 9c
5. A bag of lollipops has 10 red, 15 green, and 15 yellow lollipops.
If one is chosen at random, what is the probability that it is
not green?
6.
Standardized Test Practice:
Which of the following is a true
statement
A
8/4 < 4/8
B
-4/8 < -8/4
C
-4/8 > -8/4
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D
-4/8 > 4/8
Lesson 12-8
Mixed Expressions and
Complex Fractions
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Objectives
• Simplify mixed expressions
• Simplify complex fractions
Vocabulary
• Mixed Expression –
• Complex Fraction –
Key Concept
• xxxxxx
Example 1
Simplify
The LCD is
Add the numerators.
Distributive Property
Answer:
Simplify.
Example 2
Baking Suppose Katelyn bought 2 pounds of chocolate
chip cookie dough. If the average cookie requires 1½
ounces of dough, how many cookies would she be able
to make?
To find the total number of cookies, divide the amount
of cookie dough by the amount of dough needed for
each cookie.
Convert pounds to
ounces and divide
by common units.
Simplify.
Example 2 cont
Express each term
as an improper
fraction.
Simplify.
Answer: Katelyn can make 21 cookies.
Example 3
Simplify
Answer
Rewrite as a division sentence
Rewrite as multiplication by
the reciprocal.
a4
1
1 c2
1
b3
Divide by common factors
a, b, and c2.
Example 4
Simplify
The numerator contains a mixed expression. Rewrite it
as a rational expression first.
The LCD of the fractions
in the numerator is
Simplify the numerator.
Example 4 cont
Factor.
Rewrite as a
division sentence.
Multiply by the
reciprocal of
Answer:
Simplify.
Summary & Homework
• Summary:
– Write mixed expressions as rational expressions in
the same way as mixed numbers are change to
improper fractions.
– Simplify complex fractions by writing them as
division problems
• Homework:
– none