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Understanding Exponents and Monomials in Algebra: Key Concepts and Homework

In this chapter on exponents, we explore their fundamental role in algebraic expressions. Remember that the power operates only on the variable in front of it. We will evaluate expressions given specific values and discuss essential vocabulary, including monomials, constants, and polynomials. A monomial can be a number, variable, or a product, while constants are monomials with no variables. You'll also learn about degrees of monomials, like terms, and the classification of polynomials as binomials or trinomials. Don’t forget to complete your homework on page 144!

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Understanding Exponents and Monomials in Algebra: Key Concepts and Homework

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  1. Algebra I - Chapter 4 4.1 Exponents

  2. Exponents N 4 = Remember that the power just deals with the variable in front of it. MN2 (MN)2

  3. Let’s Try Some: • Evaluate if a = 3 and b = -2 ab – a2 a3 + 2b3

  4. Vocabulary: • A monomial is an expression that is a number, a variable, or the product of a number and one or more variables They cannot contain variables in denominators, variables with exponents that are negative, or variables under radicals • Constants are monomials that contain no variables • The numerical factor of a monomial is the coefficient of the variable

  5. More Vocabulary: A Polynomial is a monomial or a sum of monomials The monomials that make up a polynomial are called the terms of the polynomial Like terms are the ones that can be combined

  6. Vocabulary: • The degree of a monomial is the sum of the exponents of it variables – the degree of a constant is zero

  7. Even More Vocab! • Binomials (two terms) • Trinomial (three terms) • The degree is the degree of the monomial with the greatest degree

  8. Tonight’s Homework: Page 144 (24-31)(40-43) Vocab Quiz next class – 4.1-4.2

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