Section 3.4 Solving Equations with Distribution on Both Sides

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Presentation transcript:

Section 3.4 Solving Equations with Distribution on Both Sides Goal: Solve equations that use the distributive property on both sides.

Basics Distribute First! Simplify the expression (combine like terms) Goal: Move the variable to the positive side Solve the Equation using Inverse Relationships Remember: You always want to solve for the Variable, “X = ?”

Solve. 2x + 4 = 5x - 17 7 = x x = 7 2x + 4 = 5x - 17 2x + 4 = 5x - 17 +17 +17 -4 -4 21 = 3x -3x = -21 3 3 -3 - 3 7 = x x = 7

Identify Number of Solutions 4 (1- x ) + 3x = -2(x + 1) 4 - 4x + 3x = -2x - 2 4 – x = - 2x - 2 +2x + 2x 4 + 1x = -2 -4 -4 x = -6

Solve. 4(x - 2) - 2x = 5(x - 3) 4x - 8 - 2x = 5x - 15 2x - 8 = 5x - 15 -2x -2x -8 = 3x - 15 +15 +15 7 = 3x 3 3

Use a variable equation to solve. Find a number that is 20 more than 4 times its opposite. Let x = the number -x = the opposite x = 4(-x) + 20 x = -4x + 20 +4x +4x 5x = 20 5 5 x = 4

Practice p + 2p -3 = 6 + 4p -2y = 3y – 18 -5y 3 + 4(x + 5) = 31 – 10x Show All work USE YOUR NOTES

Homework Worksheet Show all WORK Due on Friday, October 11! Extra 5 points if you turn in completed on Thursday, October 10!