s olving e quations u sing i nverse o perations objective: use inverse operations to solve equations

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SOLVING EQUATIONS USING INVERSE OPERATIONS Objective: Use inverse operations to solve equations.

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Page 1: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

SOLVING EQUATIONS USING INVERSE OPERATIONS

Objective: Use inverse operations to solve equations.

Page 2: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. (2, 5)

Page 3: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. (2, 5) P

Page 4: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. (2, 5)2. (4, 3)

Page 5: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. (2, 5)2. (4, 3) R

Page 6: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. (2, 5)2. (4, 3)3. (1, 3)

Page 7: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. (2, 5)2. (4, 3)3. (1, 3) V

Page 8: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

4. Q

Page 9: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

4. Q (3, 2)

Page 10: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. Q2. T

Page 11: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. Q2. T (6, 4)

Page 12: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

1. Q2. T3. U

Page 13: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

5-MINUTE CHECK

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

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

Page 14: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

SOLVING EQUATIONS USING INVERSE OPERATIONS

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

Page 15: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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.

Page 16: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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

Page 17: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

SOLVING EQUATIONS USING INVERSE OPERATIONS

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

Page 18: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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.

Page 19: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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

Page 20: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

SOLVING EQUATIONS USING INVERSE OPERATIONS

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

Page 21: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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.

Page 22: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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

Page 23: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

SOLVING EQUATIONS USING INVERSE OPERATIONS

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

Page 24: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

SOLVING EQUATIONS USING INVERSE OPERATIONS

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

m = 54/2 Write a related division sentence.

Page 25: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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

Page 26: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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

Page 27: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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

Page 28: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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.

Page 29: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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.

Page 30: S OLVING E QUATIONS U SING I NVERSE O PERATIONS Objective: Use inverse operations to solve equations

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.