Presentation on theme: "Distributive Property"— Presentation transcript:
1Distributive Property, Combining Like Terms, Solving Equations with Variables on Both Sides
2Distributive Property An algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.2 (3 + 6)
36(2+4x)The two terms inside the parentheses cannot be added because they are not like terms. Therefore, 2 + 4x, the expression inside the parentheses, cannot be simplified any further.Therefore, we must distribute the 6 across the parentheses!
4-(3 + x2)Change each positive or negative sign of the terms that were inside the parentheses. Negative or minus signs become positive or plus signs.
5Try Some Yourself! 9(x + 9) 2(4 + 9x) 7(x + -1) 12(a + b + c)
6Combining Like Terms Term Number, variable, or product/quotient of numbers and variables (Ex: 5, m, 2x²)Like TermsTerms with the same variable AND exponent
7Combining Like TermsTo simplify expressions with like terms, add or subtract the coefficients.4k + 5k = 9k
8Combining Like Terms2ab + 6baCan you add the following?3x³y + 2xy³