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Published byWinfred Warner Modified over 9 years ago
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Two-Step Equations
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Standards CC.8.EE.7 Solve linear equations in one variable.
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Let’s look at pg. 171 Let’s walk through the activity. Now let’s work through number 2.
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Definitions Two-step equation- an equation that contains two operations. To solve it, you have to undo each operation in reverse order. Coefficient- a numerical factor of a term that contains a variable. Reflexive Property of Equality- for any numbers a and b, if a = b, then b = a. So you can switch them.
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Questions: 3x = 12 How would you solve this equation? Suppose you add 2 to each side of the equation. What is the resulting equation? Do the equations 3x = 12 and 3x + 2 = 14 have the same solution? What would you have to do to the equation 3x + 2 = 14 to make it look like the equivalent equation 3x = 12?
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Questions In an equation such as 3p + $2.50 = $7, which operation should be undone first? Second?
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Let’s practice 2x + 3 = 7
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Let’s practice 25 = ¼ n - 3
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Let’s practice 6 – 3x = 21
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Let’s practice 3x + 2 = 20
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Let’s practice 5 + 2n = -1
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Let’s practice -1 = 1/2a + 9
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Let’s practice 10 – 2/3p = 52
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Let’s practice Simon has $150 for a class trip that costs $320. He needs to save money for the next 10 weeks in order to pay for the trip. Solve the equation 10d + 150 = 320 to find the amount of money per week Simon must save.
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Let’s practice Melissa wants to put trim molding around a rectangular table. The length of the table is 45 inches and she has 150 inches of trim. Solve the equation 150 = 2w + 90 to find the width of the table.
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