Exploring Rational Expressions: Addition and Subtraction

What is the main goal when solving equations?

• To eliminate the variable

• To simplify the equation

• To find the value of the variable

• To balance both sides of the equation

What is the inverse operation of addition?

• Square root

• Multiplication

• Subtraction

• Division

Which operation is the inverse of multiplication?

• Subtraction

• Addition

• Exponentiation

• Division

What is the result when you add the inverse of a number to itself?

• Negative one

• One

• Zero

• The number itself

What is the Golden Rule of algebra?

• Always add before you subtract

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

• Always multiply before you divide

• The variable must always be on the left side

Why is it important to follow the Golden Rule in algebra?

• To find the value of the variable

• To eliminate the variable

• To simplify the equation

• To keep the equation balanced

What should you do first when solving an equation?

• Add or subtract from both sides

• Simplify both sides

• Perform the inverse operation

• Look for the variable

What question should you ask after identifying the variable in an equation?

• What is the value of the variable?

• What is happening to the variable?

• What is the Golden Rule?

• What is the inverse operation?

What is the next step after identifying what is happening to the variable?

• Add or subtract from both sides

• Simplify the equation

• Perform the inverse operation

• Check the solution

In the example given, what is the value of X in the equation -134 = X + 562?

• -696

• 696

• 428

• -428