Check 13-1 HW

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Check 13-1 HW
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Pre-Algebra HOMEWORK

• Page 654
• 15-26

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Our Learning Goal Students will be able to
classify, simplify, add and subtract polynomials.
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• Students will be able to classify, simplify, add
  and subtract polynomials by completing the
  following assignments.
• Learn to classify polynomials by degree and by
  the number of terms.
• Learn to simplify polynomials.
• Learn to add polynomials.
• Learn to subtract polynomials.
• ..and thats all folks!

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Todays Learning Goal Assignment Learn to
simplify polynomials.
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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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Additional Example 1A 1B 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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Try This Example 1A 1B 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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Additional Example 1C Identifying Like
Terms Identify the like terms in the
polynomial. C. 7p3q2 7p2q3 7pq2
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Try This Example 1C 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. A. 4x2 2x2
7 6x 9
4x2 2x2 6x 7 9
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Try This Example 2A Simplify. A. 2x3 5x3 6
4x 9
2x3 5x3 4x 6 9
2x3 5x3 4x 6 9
7x3 4x 15
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Additional Example 2B Simplifying Polynomials
by Combining Like Terms Simplify. B. 3n5m4
6n3m n5m4 8n3m
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Try This Example 2B Simplify. B. 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. A.
3(x3 5x2)
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Try This Example 3A Simplify. A. 2(x3 5x2)
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Additional Example 3B Simplifying Polynomials
by Using the Distributive Property Simplify. B.
4(3m3n 7m2n) m2n
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Try This Example 3B Simplify. B. 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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Try This 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 6. 4h2
3h3 7 9h2 8h 2