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Solving Two-Step Equations. Week 1 Day 2 January 7 th , 2014. Warm-up. Tell me three things that you remember learning last semester. . Essential Question: . How do we solve for a variable? . Standard: . A.REI.3 Solving liner equations in one variable. . What is a Two-Step Equation?.
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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: • How do we solve for a variable? Standard: • 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.
Addition Subtraction Opposite Operations 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 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!!