Solving One-Step Equations Objective: Use inverse operations to solve equations.

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

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Presentation transcript:

Solving One-Step Equations Objective: Use inverse operations to solve equations.

Overview Today, we will look at a different format to solving equations. Both methods use inverse operations. The format is the difference between the methods.

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

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

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

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

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.

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

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

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.

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

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

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.

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

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

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

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 = Write a related addition sentence.

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 = Write a related addition sentence. n = 47 The number is 47.

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 = Write a related addition sentence. n = 47 The number is 47. Check: Since 47 – 16 = 31, the solution is correct.