Lesson 1: Simplifying Polynomials by Combining Like Terms

Lesson 1: Combining Like Terms

• Learning Goal:
• I can simplify polynomials using combining like terms.
• I can identify like terms
• Lesson Stands:
• A.1.A.3.2- Simplify polynomial expressions by adding, subtracting, or multiplying.

Lesson 1: Combining Like Terms

• Vocabulary:
• Polynomial- An expression that has constants, variables and exponents, that can be combined using addition, subtraction, multiplication, and division.
• Monomial- A polynomial with only one term.
• Binomial- A polynomial with two terms.
• Trinomial- A Polynomial with three terms.
• Combine Like Terms- The consolidation of terms whose variables and exponents are the same.

Lesson 1: Combining Like Terms

• 
• Parts of a Polynomial:
• Coefficient: Number multiplied by a variable
• Variable: Letter used to represent an unknown value
• Constant: Numbers without a variable or exponent
• Operator: The specific operations used within the expression

Lesson 1: Combining Like Terms

• Polynomial Rules:
• No division by variables
• a variable's exponent can only be 0, 1, 2, 3,...etc.
• it can't have an infinite number of term.
• When simplifying polynomials, we are shortening the expression.
• Combining Like Terms requires that terms have the same variable and exponent.

Lesson 1: Combining Like Terms

Lesson 1: Combining Like Terms

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• 4x+2+2x+2x+7x-8
• 4x+2x+2x+7x+2-8
• (4+2+2+7)x-6
• 15x-6