1 8 Solving Equations Using Inverse Operations Objective

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

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

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

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

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

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

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

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

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

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

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

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

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

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 = 13 + 18 Write a related addition sentence.

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

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 – 20 Write a related subtraction sentence.

Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b. 20 + 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. 2 m = 54

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

Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d. 2 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 = 31 + 16 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 = 31 + 16 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 = 31 + 16 Write a related addition sentence. n = 47 The number is 47. Check: Since 47 – 16 = 31, the solution is correct.