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Objectives:

Lesson 2.6. Using the Distributive Property. Objectives:. Combining like terms. The Distributive property is a property where a factor is distributed (multiplied) to each term in the parentheses. Example: a(b + c) =. Example: x(m – n). a(b + c) =. x(m – n). ab + ac. xm - xn.

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Objectives:

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  1. Lesson 2.6 Using the Distributive Property Objectives: Combining like terms The Distributive property is a property where a factor is distributed (multiplied) to each term in the parentheses Example: a(b + c) = Example: x(m – n) a(b + c) = x(m – n) ab + ac xm - xn Example: - 4 (x + 5) -4x + -4(5) Example: (m +n)6 - 4x + (-20) 6m + 6n - 4x - 20 The distributive property is one of the most used and most important properties in this class!

  2. Practice Problems: 1. - 6( x + 7) -6x + (- 6)(7) Distribute the - 6 Simplify - 6x + (-42) - 6x - 42 Simplify 2. (x – 9)(- 5) - 5x – 9(- 5) Distribute the - 5 - 5x – (-45) Simplify Simplify - 5x + 45 3. (x – 4)(3x) Distribute the 3x 3x2 – 4(3x) Simplify 3x2 – 12x

  3. Combining like terms 2 4x Exponent Variable Coefficient Terms with the same variable and the same exponent are like terms and can be added or subtracted by adding or subtracting the coefficient. EX: 4X + 8X = 12X 2 2 2 EX: 3X + 5X = 8X

  4. Combine like terms –2X + 7 1. 5X + 5 – 7X + 2 = 2 2 2 7y – 10y 2. 4y – 4y + 3y – 6y = 19X – 12y 3. 16x – 9y + 3x – 3y = –5a + 4x 4. 5a + 7x – 3x – 10a =

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