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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.