1-8 solving equations using inverse operations objective: use inverse operations to solve equations
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1-8 Solving Equations Using Inverse Operations
Objective: Use inverse operations to solve equations.
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.