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Do Now Complete in your lecture notebook quietly. 1) 4x + 18 is an example of what vocabulary word? 2)Which operation should be performed first in the expression 4 + (8 ÷2) x 3 – 10? 3)Simplify 27 ÷ 3 + (12 – 4) 4)What property does the equation ( x + y ) + z = x + (y + z) represent? 5) What property is shown by the equation 5 + (3 + 6) = 5 + (6 + 3)?

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Solving ONE STEP EQUATIONS

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Objective Students will be able to: demonstrate their understanding of inverse operations by correctly solving 4 one-step equations at a basic level of proficiency.

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Preparation for Standard 5.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

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Think of an equation as a balance scale. Whatever you do to one side has to be done to the other to keep it balanced!

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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 The addition property of equality tells us to add the same thing on both sides to keep the equation equal. The subtraction property of equality tells us to subtract the same thing on both sides to keep the equation equal. Vocabulary

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ONE STEP EQUATIONS The multiplication property of equality tells us to multiply the same thing on both sides to keep the equation equal. The division property of equality tells us to divide the same thing on both sides to keep the equation equal. Vocabulary

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ONE STEP EQUATIONS Example 1 Solve x + 4 = 12

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ONE STEP EQUATIONS Example 2 Solve y - 7 = -13

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ONE STEP EQUATIONS Example 3 Solve –6a = 12

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ONE STEP EQUATIONS Example 4 Solve =-10

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When solving equations, we want to eliminate double signs. y + (-3) = 8 is rewritten as y – 3 = 8 p – (-5) = 6 is rewritten as p + 5 = 6 As a general rule, replace “+ (- )” with “–” and “– (- )” with “+”. This will make things less confusing in the future!

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1) Solve x + 2 = -3 Get the variable by itself. What is your first step? 2) Solve 8 = m - 3 3) Solve y + (-3) = 7 4) Solve. -x - (-2) = 1 5) Solve -y – (-3) = 7

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6) Negative thirty-four times a number equals 578. Find the number. 7) Solve –12b = 276 8) Solve 35t = 595 9) Solve 32 = –16c 10)

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Exit Slip Solve each equation. Show all your work. 1)d + 18 = -27 2) 3)-12 + a = -36 4)-17y = 391

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