Warm%20Up

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Warm Up
Problem of the Day
Lesson Presentation
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Warm Up Identify the coefficient of each
monomial. 1. 3x4 2. ab 3. 4. cb3 Use
the Distributive Property to simplify each
expression. 5. 9(6 7) 6. 4(10 2)
3
1
1
32
117
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Problem of the Day Warren drank 3.5 gallons of
water in one week. Find the average number of
ounces of water Warren drank each day that week.
64 oz
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Learn to simplify polynomials.
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You can simplify a polynomial by adding or
subtracting like terms. Remember that like terms
have the same variables raised to the same powers.
Like terms
The variables have the same powers.
4a3b2 3a2b3 2a3b2
Not like terms
The variables have different powers.
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Additional Example 1 Identifying Like
Terms Identify the like terms in each
polynomial. A. 5x3 y2 2 6y2
4x3 B. 3a3b2 3a2b3 2a3b2 - a3b2
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Additional Example 1 Identifying Like
Terms Identify the like terms in the
polynomial. C. 7p3q2 7p2q3 7pq2
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Check It Out Example 1 Identify the like terms
in each polynomial. A. 4y4 y2 2 8y2
2y4 B. 7n4r2 3a2b3 5n4r2 n4r2
Like terms 7n4r2, 5n4r2, and n4r2
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Check It Out Example 1 Identify the like terms
in the polynomial. C. 9m3n2 7m2n3 pq2
9m3n2 7m2n3 pq2
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To simplify a polynomial, combine like terms. It
may be easier to arrange the terms in descending
order (highest degree to lowest degree) before
combining like terms.
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Additional Example 2A Simplifying Polynomials
by Combining Like Terms Simplify. 4x2 2x2 7
6x 9
4x2 2x2 6x 7 9
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Additional Example 2B Simplifying Polynomials
by Combining Like Terms Simplify. 3n5m4 6n3m
n5m4 8n3m
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Check It Out Example 2A Simplify. 2x3 5x3
6 4x 9
2x3 5x3 4x 6 9
2x3 5x3 4x 6 9
7x3 4x 15
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Check It Out Example 2B Simplify. 2n5p4
7n6p n5p4 9n6p
2n5p4 n5p4 7n6p 9n6p
2n5p4 n5p4 7n6p 9n6p
3n5p4 16n6p
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Sometimes you may need to use the Distributive
Property to simplify a polynomial.
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Additional Example 3A Simplifying Polynomials
by Using the Distributive Property Simplify. 3(x3
5x2)
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Additional Example 3B Simplifying Polynomials
by Using the Distributive Property Simplify. 4(3m
3n 7m2n) m2n
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Check It Out Example 3A Simplify. 2(x3 5x2)
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Check It Out Example 3B Simplify. 2(6m3p
8m2p) m2p
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Additional Example 4 Business Application The
surface area of a right cylinder can be found by
using the expression 2?(r2 rh), where r is the
radius and h is the height. Use the Distributive
Property to write an equivalent expression.
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Check It Out Example 4 Use the Distributive
Property to write an equivalent expression for
3a(b2 c).
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Insert Lesson Title Here
Lesson Quiz
Identify the like terms in each polynomial. 1.
2x2 3z 5x2 z 8z2 2. 2ab2 4a2b
5ab2 4 a2b Simplify. 3. 5(3x2 2) 4. 2k2
10 8k2 8k 2 5. 3(2mn2 3n) 6mn2