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Modified over 7 years ago
Objectives The student will be able to:1. multiply monomials. 2. simplify expressions with monomials. SOL: A.10 Designed by Skip Tyler, Varina High School
A monomial is a 1. number, 2. variable, or3. a product of one or more numbers and variables. Examples: 5 y 3x2y3
Why are the following not monomials? x + yaddition division 2 - 3a subtraction
Multiplying MonomialsWhen multiplying monomials, you ADD the exponents. 1) x3 • x8 x3+8 x11 2) 2a2y3 • 3a3y4 6a5y7
Simplify m3(m4)(m) m7 m8 m12 m13
Power of a Power When you have an exponent raised to another exponent, you multiply those exponents. 1) (x4)7 x4• 7 x28 2) (y3)4 y12
Simplify (p2)4 p2 p4 p8 p16
Power of a Product When you have a power outside of the parentheses, everything in the parentheses is raised to that power. 1) (2a)3 23a3 8a3 2) (3x)2 9x2
Simplify (4r)3 12r3 12r4 64r3 64r4
This is a combination of all of the other rules.Power of a Monomial This is a combination of all of the other rules. 1) (x3y2)4 x3• 4 y2• 4 x12 y8 2) (4x4y3)3 64x12y9
Simplify (3a2b3)4 12a8b12 81a6b7 81a16b81 81a8b12
Combining Like Terms. Only combine terms that are exactly the same!! Whats the same mean? –If numbers have a variable, then you can combine only ones.
Objectives The student will be able to:
Adding/Subtracting/Multiplying Exponents when bases are the same Absent Tues/Wed 11/13,14.
Objective The student will be able to:
Algebra I 1.2 Order of Operations.
Use the order of operations to evaluate expressions. Objective The student will be able to: Designed by Skip Tyler, Varina High School and redesigned by.
Raising Monomials to a Power Dividing Monomials
Objectives The student will be able to: 1. solve equations using addition and subtraction. SOL: A.1, A.3 Designed by Skip Tyler, Varina High School.
Distribution and like terms A look at the algebra behind algebra tiles….
7.3 Multiplication properties of exponents (continued) Presented by Ms. Ngo.
Monomials Multiplying Monomials and Raising Monomials to Powers.
Objectives The student will be able to: 1. multiply a monomial and a polynomial. SOL: A.2b Designed by Skip Tyler, Varina High School.
Exponents and Order of Operations Do you know the chick named sally???
Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.
Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials. SOL:
Warm-up: Simplify. 1.6 (3x - 5) = 18x (2x + 10) = 8x y - 3y = 6y 4.7a + 4b + 3a - 2b = 10a + 2b 5.4 (3x + 2) + 2 (x + 3) = 14x + 14.
1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.
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