Solving Two-Step Equations Week 1 Day 2 January 7th, 2014

Warm-up Tell me three things that you remember learning last semester.

Essential Question: Standard: How do we solve for a variable? A.REI.3 Solving liner equations in one variable.

What is a Two-Step Equation? An equation written in the form Ax + B = C

Steps for Solving Two-Step Equations Solve for any Addition or Subtraction on the variable side of equation by “undoing” the operation from both sides of the equation. Solve any Multiplication or Division from variable side of equation by “undoing” the operation from both sides of the equation.

Opposite Operations Addition  Subtraction Multiplication  Division

Ex. 1: Solve 4x – 5 = 11 4x – 5 = 15 +5 +5 (Add 5 to both sides) 4x = 20 (Simplify) 4 4 (Divide both sides by 4) x = 5 (Simplify)

Ex. 2: Solve x/3 + 4 = 9 x/3 + 4 = 9 - 4 - 4 (Subt. 4 from both sides) x/3 = 5 (Simplify) (x/3)  3 = 5  3 (Mult. by 3 on both sides) x = 15 (Simplify)

Try These Examples 2x – 5 = 17 x/5 – 3 = 8 5n – 2 = 38 r/3 – 6 = 2 Note: This is class work! Please answer all questions and write them on your notes. This must be check off by the teacher before leaving class to get points! 2x – 5 = 17 x/5 – 3 = 8 5n – 2 = 38 r/3 – 6 = 2 *Write out all steps for solving in words!!

Homework 3y + 7 = 25 c/7 + 4 = 9 12b + 4 = 28 d/9 + 4 = 5 *Write out all steps for solving in words!!