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Date ________________ Chapter 4: First Degree Equations and Inequalities in One Variable Lesson 4-1: Solving Equations Using More Than One Operation p.117-122 Root or Solution - the number that can replace the variable in an open sentence to make the sentence true. Conditional equations - when not every element of the domain makes the sentence true. Identity - when every element of the domain satisfies an equation. Equivalent equations - Two equations that have the same solution set. Properties of Equality 1. Addition Property of Equality -______________________________ _________________________________________________________ _________________________________________________________ 2. Subtraction Property of Equality - ____________________________ _________________________________________________________ _________________________________________________________ 3. Multiplication Property of Equality - __________________________ _________________________________________________________ _________________________________________________________ 4. Division Property of Equality - _______________________________ ________________________________________________________ _________________________________________________________ 5. Substitution Principle - _____________________________________ _________________________________________________________ _________________________________________________________ 478166418, p. 1 Date ________________ To solve an equation, we need to work backward or "undo" what has been done by using inverse operations. Ex 1| x + 7 = 19 Ex 2| 6x = 24 Solve and state the property used in each step. Ex 3| 2x + 3 = 15 Ex 4| Solve and check the following 478166418, p. 2 Date ________________ a. 7 x 15 71 CHECK 3 x 6 18 5 CHECK c. 7 x 9 71 CHECK b. HW: p.122/3 and 5-36 5’s 478166418, p. 3