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October 7, 2015 Warm-Up:Warm-Up:
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Homework Worksheet 4.2
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It’s a… GIRL!!!
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Objective Write down the objective in your math journal in your own words. SWBAT solve one-step algebraic equations.
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Step 1If you do not have an equation mat, draw one like the one seen below on a blank sheet of paper. Step 2On your equation mat, place a variable cube on one side with 3 negative integer chips. On the other side of the mat, place 5 positive integer chips. This represents the equation x − 3 = 5.
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With your group, decide how to evaluate what x is equal to by adding or removing chips. ** You must add or remove the same amount from both sides!
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Good to Know! You can solve equations using inverse operations to keep your equation balanced. Inverse operations are operations that undo each other, such as addition and subtraction.
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Good to Know! Even though you may be able to solve many one-step equations mentally, it is important that you show your work. The equations you will be solving in later lessons and in future math classes will become more complex. Drawing a vertical line through the equals sign can help you stay organized. Whatever is done on one side of the line to cancel out a value must be done on the other side.
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Example 1 Solve the equation. Show your work and check your solution. a.x + 13 = 41 Check the answer by substituting the solution into the original equation for the variable. x + 13 = 41 –13 –13 x = 28 (28) + 13 = 41 41 = 41 The vertical line can help you stay organized.
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Practice Each person needs a whiteboard and marker Your group can share some towels It is important to show your work for each problem!!!
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Show your work!! Solving one-step equations
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Problem 1
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Problem 2
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Problem 3
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Problem 4
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Problem 5
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Problem 6
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Problem 7
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Problem 8
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Problem 9
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Problem 10
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