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Equations with Variables on Both SidesWith Special Guest Stars: The Distributive Property & Combining Like Terms
When you have an equation withvariables on both sides, you get rid of one of them by adding or subtracting. Solve: 4x = 2x
Answer: x = 16 Now try this one: 7y = y
Answer: y = 3 For this next problem, you will need to use the Distributive Property first! 3(5a - 4) = 8a + 2
Answer: a = 2 Here’s another one! x - ( x) = 7x + 4 ↑ careful!
Answer: x = -3 This time you will need to use the Distributive Property twice! 8(m - 5) = 2(3m - 8)
Answer: m = 12 This time, combine the like terms on each side of the equal sign before solving. 10x x = x
Answer: x = -8 For this problem: 1) Use the Distributive Property2) Then, combine the like terms 2( x) = x - 8x
Answer: x = 4 6w + 3(5w - 4) = 12(2w - 5) Remember: Distribute, thencombine the like terms 6w + 3(5w - 4) = 12(2w - 5)
Answer: w = 16 Here’s the last one! 4x + 5(7x - 3) = 9(x - 5)
Answer: x = -1
2.1 Solving One Step Equations
Multiplying & Dividing Algebra~ Lesson 6 Remember Addition and Subtraction? Kinda the same idea…
Identify the number of solutions of an equation
Solving Systems of Equations using Substitution
ONE STEP EQUATIONS.
Solving One-Step Equations. Created by S. Koch x – 6y + 18 = 0 What are your coefficients? What is your constant? 3,
Solve two-step equations.
Solving Equations with variables on both sides- YES!
MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.
Solve Multi-step Equations
4.6 Perform Operations with Complex Numbers
Objectives The student will be able to:
Variables on Both Sides of the Equation
Columbus State Community College
The Distributive Property & Combining Like Terms
Copyright © 2012, 2008, 2004 Pearson Education, Inc. Mrs. Rivas International Studies Charter School. Bell Ringer.
Objectives The student will be able to: 1. solve equations using addition and subtraction. SOL: A.1, A.3 Designed by Skip Tyler, Varina High School.
Do Now 10/30/09 Copy HW in your planner. Copy HW in your planner. –Text p. 134, #12-28 evens & #34 & #36 Did you turn in POTW#8?
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