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2.6 Adding and Subtracting Expressions

2.6 Adding and Subtracting Expressions. Objectives: Use the Distributive Property to combine like terms. Simplify expressions with several variables. Standards Addressed: 2.1.8.B: Simplify numerical expressions. 2.1.8.E: Simplify and expand algebraic expressions.

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2.6 Adding and Subtracting Expressions

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  1. 2.6 Adding and Subtracting Expressions Objectives: Use the Distributive Property to combine like terms. Simplify expressions with several variables. Standards Addressed: 2.1.8.B: Simplify numerical expressions. 2.1.8.E: Simplify and expand algebraic expressions.

  2. When you add and subtract expressions, you need to write the sums and differences in simplified terms.

  3. Combining Like Terms (3x + 4) + (5x + 2) • In an expression, parts that are added are called terms. • The terms 3x and 5x are like terms because they contain the same form of the variable x. • The numerical part of an x-term, in this case 3 or 5, is called the coefficient of the x-term. • The numbers 4 and 2, which are also like terms, are called constants. • An expression is simplified when all like terms have been combined and all parentheses have been removed.

  4. Ex. 1

  5. Ex. 2

  6. Ex. 2 Simplify.

  7. Ex. 3 Simplify. -18x -12y A. B. C. D. -11x –y 7.2c – 7.6 d 26x – 6y

  8. Ex. 4A Find the perimeter. • 3x + 1 + 3x + 1 + 4x + 2 + 4x + 2= • 14x + 6

  9. Ex. 4B Find the perimeter. • 5x + 7 + 7x – 4 + 2x + 2 = • 14x + 5

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