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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
Identify the number of solutions of an equation
Solve two-step equations.
Solving Equations with variables on both sides- YES!
Solve Multi-step Equations
Objectives The student will be able to:
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?
3.5 More on Solving Equations Goal: To solve equations by first getting all variables to the same side of the equation.
Solving Inequalities with variables on both sides of the Sign
Solving Equations with variables on both sides of the Equals
Warmup. 1) Solve. 3x + 2 = 4x - 1 You need to get the variables on one side of the equation. It does not matter which variable you move. Try to move the.
Involving One Operation
Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.
3-5 Solving Equations with the variable on each side Objective: Students will solve equations with the variable on each side and equations with grouping.
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