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Math Essentials Ms. Palevsky April 21, 2010
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1-step equations with addition Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for x Does 6 + 3 = 9? YES
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1-step equations with subtraction Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 5 - 8 = -3? YES
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1-step equations – YOUR TURN Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2
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1-step equations Multiplication Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 4 × 7= 28? YES
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1-step equations Division Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 54/6= 54? YES
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1-step equations – YOUR TURN Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2
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Discussion: What Patterns do you see? If we had to make a rule for solving equations what would the rule or rules be?
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2-step equations Example 1 Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 3 x 8 + 6= 30? YES Second pair of operations; the operations that produce Equation 3 Equation 3
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2-step equations Example 2 Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 14 x 5 -4 = 66? YES Second pair of operations; the operations that produce Equation 3 Equation 3
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2-step equations Example 3 YOUR TURN Initial Equation (Equation 1) First pair of operations; the operations that produce Equation 2 Equation 2 CHECK: Substitute your answer for p Does 14 x 5 -4 = 66? YES Second pair of operations; the operations that produce Equation 3 Equation 3
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Discussion What more do we know now about 2-step equations? How does this relate to what we already have learned?
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Practice Try these on your own or with a partner: One-Step 1. x – 9 = 15 2. x + 14 = 8 3. 3z = 39 4. t/2 = 15
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Practice Try these on your own or with a partner: Two-Step 1. 6x – 3 = 15 2. 4x + 7 = 27 3. m/9 - 2 = 10 4. 7k + 2 = -54
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