The document provides instructions on how to add and subtract monomials. It defines key terms like coefficient, base, exponent, degree of a monomial, degree of a polynomial, and like terms. It explains that to add monomials, you add the coefficients and keep the base, and to subtract monomials you subtract the coefficients and keep the base. Examples are given of simplifying expressions by combining like terms.

1. AIM How do we add & subtract monomials?

2. MINI LESSON 6x² 6 is the coefficient x is the base 2 is the exponent or power

3. MINI LESSON (cont.) Degree of a monomial : the sum of the exponents in the monomial 6x² has a degree of 2 7x²y has a degree of 3 (because the y has an exponent of 1) * a ²b² has a coefficient of 1

4. MINI LESSON (cont.) Degree of a polynomial : the largest of the degrees of its monomials. a²b + 3a 4 has a degree of 4 3xyz + 9a 5 - 6b + 5 has a degree of 5

5. MINI LESSON (cont.) Like terms : monomials that are exactly the same except for their coefficient. 7x 7x yes (like terms) 4x 3x yes (like terms) 4x² 3x no (unlike terms) 5y 3xy no (unlike terms)

6. MINI LESSON (cont.) Adding Monomials Add the coefficients Keep the base 7a + 5a = 5d + 6d = 10z³ + 7z³ = Subtracting Monomials Subtract the coefficients Keep the base 8p – 2p = 10t – 3t = 7a + 6p = 18xyz + 1xzy =

7. WE DO Simplify the following expressions: 1. 9a + 15a 2. ¼z + 8 + 3/4z - 5

8. WE DO (cont.) CHECK IT OUT with the COACH – p 300 What is the expression 5a – 6 + ½ - 2a + 3 ½ in simplest form? Rewrite the expression. __________ Combine the terms with variables. Rewrite the expression. __________ Combine the terms with no variables. Rewrite the expression. __________ So the expression 5a – 6 + ½ - 2a + 3 ½ in simplest form is __________

9. YOU DO COACH p 300 – 301 #s 1-11

10. REFLECTION Why can we combine 18xzy + 1xyz but not 7a + 6p ?