AIM How do we add & subtract monomials?

How do we add & subtract monomials?

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

6x²

6 is the coefficient

x is the base

2 is the exponent or power

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

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

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

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

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)

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)

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 =

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 =

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

Simplify the following expressions:

1. 9a + 15a 2. ¼z + 8 + 3/4z - 5

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 __________

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 __________

YOU DO COACH p 300 – 301 #s 1-11

COACH p 300 – 301 #s 1-11

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

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