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1-8 Solving Equations Using Inverse Operations Objective: Use inverse operations to solve equations.

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5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5)

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5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) P

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5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3)

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5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3)R

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5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3) 3.(1, 3)

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5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3) 3.(1, 3)V

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5-Minute Check Use the grid to name the ordered pair for each point. 4.Q

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5-Minute Check Use the grid to name the ordered pair for each point. 4.Q(3, 2)

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5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T

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5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T(6, 4)

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5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T 3.U

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5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T 3.U(3, 6)

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. a.k – 18 = 13

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. a.k – 18 = 13 k = 13 + 18 Write a related addition sentence.

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. a.k – 18 = 13 k = 13 + 18 Write a related addition sentence. k = 31

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b.20 + x = 32

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b.20 + x = 32 x = 32 – 20 Write a related subtraction sentence.

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b.20 + x = 32 x = 32 – 20 Write a related subtraction sentence. x = 12

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. n/6 = 18

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. c.n/6 = 18 n = 18 * 6 Write a related multiplication sentence.

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. c.n/6 = 18 n = 18 * 6 Write a related multiplication sentence. n = 108

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d.2m = 54

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d.2m = 54 m = 54/2 Write a related division sentence.

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Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d.2m = 54 m = 54/2 Write a related division sentence. m = 27

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Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31

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Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31

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Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31 n = 31 + 16 Write a related addition sentence.

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Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31 n = 31 + 16 Write a related addition sentence. n = 47 The number is 47.

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Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31 n = 31 + 16 Write a related addition sentence. n = 47 The number is 47. Check: Since 47 – 16 = 31, the solution is correct.

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