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Published byAgnes Stevens Modified over 8 years ago
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October 12, 2015 Warm-Up:Warm-Up:
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Homework Worksheet 4.3T
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Objective Write down the objective in your math journal in your own words. SWBAT solve two-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 2x + 2 = 8.
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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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Example 2 Solve the equation for the variable. Check the solution. Write the equation. Subtract 2 from both sides of the equation. Multiply each side by 7. Check the solution. x = –56 –2
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Example 3 Solve the equation for x. Check the solution. 12 – 5 x = 2 Rewrite the equation by adding the opposite. Subtract 12 from both sides. Divide each side by (–5). Check the solution x = 2 12 + (–5x) = 2 –12 –5x = –10 x = 2 12 – 5(2) = 2 12 – 10 = 2 2 = 2 –5
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