Inverse Operation Algebraic Equations

The inverse operation for the equation shown is:

h + 18 = 34

• subtract 34

• subtract 18

• add 34

• add 18

What are the TWO basic rules for solving algebraic equations?

• Whatever you do to one side of the equation, you must do on the other side of the equation.

• Always add on both sides.

• Always start on the left side, regardless of where the variable is.

• Always do the inverse operation.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

y - 4.6 = 12

• 16.6

• 5.8

• 7.4

• Answer not Given

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

• Addition

• Addition

• Multiplication

• Subtraction

• Subtraction

• Division

• Division

• Multiplication

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When solving equations, you use inverse operations.

The inverse of addition is ​ (a)   .

The inverse of division is ​ (b)   .

• subtraction

• multiplication

• addition

• division

• I have no idea

Which inverse operation would you use to solve the equation?

x + 4 = 28

• addition

• subtraction

• multiplication

• division

What are the inverse operations for the equation 4x - 7 = 21

• subtraction and multiplication

• addition and multiplication

• subtraction and division

• addition and division

What is the inverse operation needed to solve the following one-step equation?
450 = p - 345

• subtraction

• addition

• multiplication

• division

What is the inverse operation needed to solve the following one-step equation?
-2 + y = -15

• subtraction

• addition

• multiplication

• division