Cornell Notes Topic/Objective: Name: Solving one and two-step equations Class/Period: Date: September 16, 2015 Essential Question: How do I solve one and two-step equations? Questions: What do I know, what do I want to know, and what did I learn about solving equations? Notes: KWL Know Want Learned Vocabulary: Vocabulary: Algebraic expressions: an expression that contains at least one variable, a constant and at least one operation Ex: x + 5, n - 2 Equation: a mathematical sentence that shows that two expressions are equivalent Ex: x + 3 = 8 Variable: a symbol used to represent a quantity that can change Ex: “x”, “y” Solution: the value of the variable that makes an equation true Ex: x = 5, x + 3 =8 Constant: a fixed number and means “unchanging” Ex: x + 3 = 8 constant Summary: Questions: Notes: How do I solve a one-step equation? ONE-STEP EQUATIONS X – 4 = 10 +4 +4 X = 14 3X = -9 3X = -9 3 3 X = -3 How do I solve two-step equations? equation inverse operation of the constant simplify/solution equation inverse operation of the coefficient simplify/ solution TWO-STEP EQUATIONS 2X – 4 = 10 +4 +4 2X = 14 2 2 X=7 𝟏 X – 7 = -9 +7 +7 𝟏 X = -2 𝟑 𝟑 𝟏 3 (𝟑)X = -2 X = -6 equation inverse operation of the constant simplify inverse operation of the coefficient simplify/solution equation inverse operation of the constant simplify inverse operation of the coefficient simplify/solution Steps to remember: 1. Inverse operation of the constant 2. Simplify 3. Inverse operation of the coefficient 4. Simplify/solution Summary: