pre-algebra lesson 1.8

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    1-8 Solving Equations Using

    Inverse Operations

    Objective: Use inverse operations to

    solve equations.

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    5-Minute Check

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

    1. (2, 5)

    2. (4, 3) R

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    5-Minute Check

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

    1. (2, 5)

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

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    5-Minute Check

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

    1. (2, 5)

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

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    5-Minute Check

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

    4. Q

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    5-Minute Check

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

    4. Q (3, 2)

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    5-Minute Check

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

    1. Q

    2. T

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    5-Minute Check

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

    1. Q

    2. T (6, 4)

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    5-Minute Check

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

    1. Q

    2. T3. U

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    5-Minute Check

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

    1. Q

    2. T3. U (3, 6)

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    a. k 18 = 13

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    a. k 18 = 13

    k = 13 + 18 Write a related addition sentence.

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    b. 20 + x = 32

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    b. 20 + x = 32

    x = 32 20 Write a related subtraction sentence.

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    b. 20 + x = 32

    x = 32 20 Write a related subtraction sentence.x = 12

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    n/6 = 18

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    c. n/6 = 18

    n = 18 * 6 Write a related multiplication sentence.

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    c. n/6 = 18

    n = 18 * 6 Write a related multiplication sentence.n = 108

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    d. 2m = 54

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    d. 2m = 54

    m = 54/2 Write a related division sentence.

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    Solving Equations Using Inverse

    OperationsExample 1

    Solve each equation using the inverse operations.

    d. 2m = 54

    m = 54/2 Write a related division sentence.m = 27

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    Solving Equations Using Inverse

    OperationsExample 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

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    Solving Equations Using Inverse

    OperationsExample 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

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    Solving Equations Using Inverse

    OperationsExample 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.

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    Solving Equations Using Inverse

    OperationsExample 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.

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    Solving Equations Using Inverse

    OperationsExample 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.