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. Q2. T

5-Minute Check

Use the grid to name the ordered pair for each point.

1. Q2. T (6, 4)

5-Minute Check

Use the grid to name the ordered pair for each point.

1. Q2. T3. U

5-Minute Check

Use the grid to name the ordered pair for each point.

1. Q2. T3. U (3, 6)

Solving Equations Using Inverse Operations

Example 1Solve each equation using the inverse operations.a. k – 18 = 13

Solving Equations Using Inverse Operations

Example 1Solve each equation using the inverse operations.a. k – 18 = 13

k = 13 + 18 Write a related addition sentence.

Solving Equations Using Inverse Operations

Example 1Solve 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 1Solve each equation using the inverse operations.b. 20 + x = 32

Solving Equations Using Inverse Operations

Example 1Solve each equation using the inverse operations.b. 20 + x = 32

x = 32 – 20 Write a related subtraction sentence.

Solving Equations Using Inverse Operations

Example 1Solve 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 1Solve each equation using the inverse operations.• n/6 = 18

Solving Equations Using Inverse Operations

Example 1Solve each equation using the inverse operations.c. n/6 = 18

n = 18 * 6 Write a related multiplication sentence.

Solving Equations Using Inverse Operations

Example 1Solve 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 1Solve each equation using the inverse operations.d. 2m = 54

Solving Equations Using Inverse Operations

Example 1Solve each equation using the inverse operations.d. 2m = 54

m = 54/2 Write a related division sentence.

Solving Equations Using Inverse Operations

Example 1Solve 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 2A 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 2A 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 2A 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 = 31n = 31 + 16 Write a related addition sentence.

Solving Equations Using Inverse Operations

Example 2A 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 = 31n = 31 + 16 Write a related addition sentence.n = 47 The number is 47.

Solving Equations Using Inverse Operations

Example 2A 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 = 31n = 31 + 16 Write a related addition sentence.n = 47 The number is 47.Check: Since 47 – 16 = 31, the solution is correct.