# Ch 1.7 (part 1) One Step (Addition & Subtraction) Objective: To solve one-step variable equations using the Inverse Property of Addition.

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Ch 1.7 (part 1) One Step (Addition & Subtraction) Objective: To solve one-step variable equations using the Inverse Property of Addition

Definitions Equation A balanced statement of equality between two expressions. One Step Only one operation is performed (+, -, , ÷) 4 + 3 = 7 fulcrum 4 + 37 =

Goal: Isolate the variable. 1) “Undo” the operation using the Inverse Property of Addition a + (-a) = 0 Perform the operation to both sides of the equation! Rules

= + 4 7 3 + - 3

= 4 7

= 4 7 4 = 7

4 + 37 = - 3 44 = Perform the same operation to both sides to keep the equation balanced.

x + 611 = This property can be used to solve variable equations. -6 x5 = x + 6 = 11 -6 x = 5 Algebraic Approach

Example 1 m + 2 = 10 x - 4 = 6 m - 4 = 9 11 = x – ( - 2) -2 m = 8 +4 x = 10 +4 m = 13 -2 9 = x + Example 2 Example 3 Example 4

Classwork 1) x + 7 = 3 2) 8 + y = -6 3) -4 + x = 15 4) 7 = x + 13

Classwork 5) -10 = 6 + x 6) - 4 = m + 9 7) 9 + 7 = x 8) y = 8 - 13

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