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isolate inverse opposite constants coefficients reciprocal subtraction

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Presentation on theme: "isolate inverse opposite constants coefficients reciprocal subtraction"— Presentation transcript:

1 isolate inverse opposite constants coefficients reciprocal subtraction
The inverse of addition is: The inverse of subtraction is: The inverse of multiplication is: The inverse of division is: subtraction addition division multiplication constants coefficients reciprocal

2 x + 4 = 7 Addition Subtraction What is the operation of the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A one-step equation requires one inverse operation to solve for the variable. x + 4 = 7 What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? Addition Subtraction

3 x + 6 = 13 Addition Subtraction What is the operation of the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A one-step equation requires one inverse operation to solve for the variable. x + 6 = 13 What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? Addition Subtraction

4 5x = 25 Multiplication Division What is the operation of the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A one-step equation requires one inverse operation to solve for the variable. 5x = 25 What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? Multiplication Division

5 Division Multiplication What is the operation of the equation?
Flash Cards (Inverse Operations) A one-step equation requires one inverse operation to solve for the variable. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? Division Multiplication

6 x + 7 = 8 Addition Subtraction What is the operation of the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A one-step equation requires one inverse operation to solve for the variable. x + 7 = 8 What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? Addition Subtraction

7 7x = 49 Multiplication Division What is the operation of the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A one-step equation requires one inverse operation to solve for the variable. 7x = 49 What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? Multiplication Division

8 What two inverse operations would be used to solve the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A two-step equation contains two operations. A two-step equation requires two inverse operations to solve. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. What two inverse operations would be used to solve the equation? - 3 = 2 x 3 STEP 1: Addition STEP 2: Multiplication

9 What two inverse operations would be used to solve the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A two-step equation contains two operations. A two-step equation requires two inverse operations to solve. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. What two inverse operations would be used to solve the equation? 3x - 4 = -13 STEP 1: Addition STEP 2: Division

10 What two inverse operations would be used to solve the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A two-step equation contains two operations. A two-step equation requires two inverse operations to solve. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. What two inverse operations would be used to solve the equation? 6 + 4x = 14 STEP 1: Subtraction STEP 2: Division

11 What two inverse operations would be used to solve the equation?
Flash Cards (Inverse Operations) Inverse Operations + and – ● and ÷ A two-step equation contains two operations. A two-step equation requires two inverse operations to solve. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. What two inverse operations would be used to solve the equation? = 2 x 3 STEP 1: Subtraction STEP 2: Multiplication

12 Determine what operation is being used in the equation.
What is the inverse operation that is needed to solve? Division The inverse of division is multiplication. Multiplication The inverse of multiplication is division. Multiplication The inverse of multiplication is division. 7 6 ( ) 7 6 ( ) __ 12 __ 12 (1.5) (1.5) x = 24 e = 14 n = 3.5

13 Determine what operation is being used in the equation.
What is the inverse operation that is needed to solve? Addition The inverse of addition is subtraction. Subtraction The inverse of subtraction is addition. Addition The inverse of addition is subtraction. - + + + + - g = 6.5 t = 0.25 m = 9.6

14 A one-step equation requires one inverse operation to solve for the variable.
• To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. x + 2 = 5 - 2 - 2 x = 3 3 + 2 = 5 x x x x

15 -2x = -6 x = 3 Determine what operation is being used in the equation.
What is the inverse operation that is needed to solve?

16 9m = -27 -6 = n/2 ½ b = 12 Solution: m = -3 Solution: n = -12
Rewrite equation after performing the inverse operation shown: Rewrite equation after performing the inverse operation shown: Rewrite equation after performing the inverse operation shown: 9m = -27 -6 = n/2 ½ b = 12 Solution: m = -3 Solution: n = -12 Solution: b = 24 Rewrite equation after performing the inverse operation shown: Rewrite equation after performing the inverse operation shown: Rewrite equation after performing the inverse operation shown: 4w = -28 d/1.6 = 9 2/3b = 16 Solution: w = -7 Solution: d = 14.4 Solution: b = 24

17 12 + 3h = 30 -3.5 – 0.5m = -12 6 hours 17 minutes -3x - 3 = -6 x = -1


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