Isolating Variables with Inverse Operations

What is the main goal when solving an equation?

• To balance both sides of the equation

• To simplify the equation

• To eliminate all numbers

• To find the value of the variable

Which operations are present in the equation 2x - 5 = 7?

• Addition and division

• Addition and multiplication

• Subtraction and division

• Multiplication and subtraction

What is the first inverse operation applied to the equation 2x - 5 = 7?

• Division by 2

• Subtraction of 5

• Addition of 5

• Multiplication by 2

Why do we perform the same operation on both sides of the equation?

• To keep the equation balanced

• To simplify the equation

• To isolate the variable

• To eliminate the variable

What is the result of adding 5 to both sides of the equation 2x - 5 = 7?

• 2x = 2

• x = 2

• x = 6

• 2x = 12

What is the next step after simplifying the equation to 2x = 12?

• Multiply both sides by 2

• Subtract 2 from both sides

• Divide both sides by 2

• Add 2 to both sides

What is the result of dividing both sides of the equation 2x = 12 by 2?

• x = 12

• x = 2

• x = 6

• x = 24

What is the final solution to the equation 2x - 5 = 7?

• x = 7

• x = 2

• x = 6

• x = 5

What is the purpose of using inverse operations in solving equations?

• To make the equation more complex

• To isolate the variable

• To eliminate the variable

• To balance the equation