18 Solving Equations Using Inverse Operations

1
1-8 Solving Equations Using Inverse Operations

• Objective Use inverse operations to solve
  equations.

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

• (2, 5)

3
5-Minute Check
Use the grid to name the point for each ordered
pair.

• (2, 5) P

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

• (2, 5)
• (4, 3)

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

• (2, 5)
• (4, 3) R

6
5-Minute Check
Use the grid to name the point for each ordered
pair.

• (2, 5)
• (4, 3)
• (1, 3)

7
5-Minute Check
Use the grid to name the point for each ordered
pair.

• (2, 5)
• (4, 3)
• (1, 3) V

8
5-Minute Check
Use the grid to name the ordered pair for each
point.

• Q

9
5-Minute Check
Use the grid to name the ordered pair for each
point.

• Q (3, 2)

10
5-Minute Check
Use the grid to name the ordered pair for each
point.

• Q
• T

11
5-Minute Check
Use the grid to name the ordered pair for each
point.

• Q
• T (6, 4)

12
5-Minute Check
Use the grid to name the ordered pair for each
point.

• Q
• T
• U

13
5-Minute Check
Use the grid to name the ordered pair for each
point.

• Q
• T
• U (3, 6)

14
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• k 18 13

15
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• k 18 13
• k 13 18 Write a related addition sentence.

16
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• k 18 13
• k 13 18 Write a related addition sentence.
• k 31

17
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• 20 x 32

18
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• 20 x 32
• x 32 20 Write a related subtraction
  sentence.

19
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• 20 x 32
• x 32 20 Write a related subtraction
  sentence.
• x 12

20
Solving Equations Using Inverse Operations

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

21
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• n/6 18
• n 18 6 Write a related multiplication
  sentence.

22
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• n/6 18
• n 18 6 Write a related multiplication
  sentence.
• n 108

23
Solving Equations Using Inverse Operations

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

24
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• 2m 54
• m 54/2 Write a related division sentence.

25
Solving Equations Using Inverse Operations

• Example 1
• Solve each equation using the inverse operations.
• 2m 54
• m 54/2 Write a related division sentence.
• m 27

26
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
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
n 16 31
28
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.
29
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.
30
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.