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Polynomial Chapter Day 1: Monomials

In this chapter, students will learn to multiply, divide, and simplify monomials and algebraic expressions involving powers. Key concepts include understanding the properties of exponents and recognizing when a monomial is in its simplest form. Students will engage in practice problems that require them to identify and eliminate negative exponents, simplify expressions to show each base only once, and ensure fractions are fully simplified. This foundational knowledge is essential for progressing in algebra.

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Polynomial Chapter Day 1: Monomials

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  1. Polynomial ChapterDay 1: Monomials Target Goal: The students will be able to multiply, divide, and simplify monomials and expressions involving powers.

  2. PROPERTIES OF EXPONENTS

  3. “Simplify…” • A monomial is in simplest form when… • There are no powers of powers (i.e., no exponents being raised to exponents). • Each base appears exactly once. • All fractions are in simplest form. • There are no negative exponents.

  4. Simplify each of the following.

  5. Simplify each of the following. [

  6. Simplify each of the following.

  7. Simplify each of the following.

  8. 1. Simplify:

  9. 2. Simplify:

  10. 3. Simplify:

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