Solving Multistep Equations with Variables on Both Sides

What is the first step in solving equations with variables on both sides?

• Apply the distributive property

• Combine like terms

• Move all variables to one side

• Simplify each side of the equation

When simplifying equations, what property is used to eliminate parentheses?

• Commutative property

• Distributive property

• Identity property

• Associative property

How do you handle terms when moving variables across the equal sign?

• Add the term to both sides

• Divide both sides by the term

• Subtract the term from both sides

• Multiply both sides by the term

What should you do if there are no like terms to combine on one side of an equation?

• Introduce an arbitrary constant

• Restart the simplification process

• Try to factorize the equation

• Move to the next step

In the context of integer rules, what does 'same signs add and keep' refer to?

• Adding two numbers with the same sign

• Multiplying two negative numbers

• Subtracting two numbers with different signs

• Adding two positive numbers

What is the result of dividing an equation by a coefficient to isolate the variable?

• An undefined operation

• A quadratic equation

• A simpler equation

• A multi-step equation

How do you verify the solution of a multi-step equation?

• Solve the equation again using a different method

• Graph the equation and check the intercepts

• Consult a solution manual

• Substitute the solution back into the original equation

What does it mean if the solution to an equation is an 'ugly number'?

• The solution is a non-integer or complex number

• The solution is incorrect

• The equation has no solution

• The solution cannot be simplified further

Why is it important to simplify both sides of an equation before solving?

• To make the equation easier to solve

• To identify the correct operation needed

• To ensure the equation remains balanced

• All of the above

What should you do if your solution is a fraction in its simplest form?

• Convert it to a decimal

• Leave it as is

• Multiply by the denominator

• Round it to the nearest whole number