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ONE STEP EQUATIONS Addition and Subtraction Equations Multiplication and Division Equations

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ONE STEP EQUATIONS What you do to one side of the equation must also be done to the other side to keep it balanced. An equation is like a balance scale because it shows that two quantities are equal.

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Definitions Term : a number, variable or the product or quotient of a number and a variable. 12 X 2w c 3

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Terms are separated by addition (+) or subtraction (-) signs. 3a – 2b + 7x – 4z + 52 5 How many Terms do you see? 5

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Definitions Constant : a term that is a number. Coefficient : the number value in front of a variable in a term.

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3x – 6y + 18 = 0 What are your coefficients? What is your constant? 3, -6 18

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ONE STEP EQUATIONS What is the variable? To solve one step equations, you need to ask three questions about the equation: What operation is performed on the variable? What is the inverse operation? (The one that will undo what is being done to the variable)

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ONE STEP EQUATIONS Example 1 Solve x + 4 = 12 What is the variable? Using the subtraction property of equality, subtract 4 from both sides of the equation. - 4 x x + 4 = 12 The variable is x. Addition. Subtraction. What is the inverse operation (the one that will undo what is being done to the variable)? What operation is being performed on the variable? - 4 8= The subtraction property of equality tells us to subtract the same thing on both sides to keep the equation equal.

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ONE STEP EQUATIONS Example 1 Solve y - 7 = -13 What is the variable? Using the addition property of equality, add 7 to both sides of the equation. y - 7 = -13 + 7 y The variable is y. Subtraction. Addition. What operation is being performed on the variable? What is the inverse operation (the one that will undo what is being done to the variable)? + 7 =-6 The addition property of equality tells us to add the same thing on both sides to keep the equation equal.

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ONE STEP EQUATIONS Example 1 Solve –6a = 12 What is the variable? Using the division property of equality, divide both sides of the equation by –6. –6a = 12 -6 a The variable is a. What operation is being performed on the variable?Multiplication. What is the inverse operation (the one that will undo what is being done to the variable)? Division -6 =-2 The division property of equality tells us to divide the same thing on both sides to keep the equation equal.

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ONE STEP EQUATIONS Example 1 Solve What is the variable? Using the multiplication property of equality, multiply both sides of the equation by 2. = -10 b The variable is b. What operation is being performed on the variable?Division. What is the inverse operation (the one that will undo what is being done to the variable)? Multiplication = -102 2 =-20 =-10 The multiplication property of equality tells us to multiply the same thing on both sides to keep the equation equal.

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1) 26 = 8 + v What is the variable? What operation is being performed on the variable? What is the inverse operation (the one that will undo what is being done to the variable)? Solve The variable is v. Addition. Subtraction. 26 = 8 + v -8 18 = v or v = 18

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2) x - 7 = 13 What is the variable? What operation is being performed on the variable? What is the inverse operation (the one that will undo what is being done to the variable)? Solve The variable is x. Subtraction. Addition. x – 7 = 13 +7 x = 20

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3) v / 8 = 2 What is the variable? What operation is being performed on the variable? What is the inverse operation (the one that will undo what is being done to the variable)? Solve The variable is v. Division. Multiplication. v = 2 8 8 8 v = 16

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4) -126 = 14k What is the variable? What operation is being performed on the variable? What is the inverse operation (the one that will undo what is being done to the variable)? Solve The variable is k. Multiplication. Division. -126 = 14k ____ ___ 14 -9 = k or k = -9

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Works Cited Charles, Randall I., Bonnie McNemar, and Alma Ramirez. Pre-algebra. Boston, Massachusetts: Pearson Prentice Hall, 2007. Print. Free Algebra 1 Worksheets. (n.d.). Create Custom Pre-Algebra, Algebra 1, Algebra 2, and Geometry Worksheets. Retrieved October 17, 2011, from http://www.kutasoftware.com/free.html

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