Solving Equations with Variables and Distributive Property

What is the first step in simplifying an equation involving the distributive property?

• Combine like terms

• Isolate the variable

• Distribute the coefficient

• Subtract from both sides

What does distributing a positive three across terms result in?

• All terms multiplied by three

• All terms divided by three

• Subtraction of three from all terms

• No change to the terms

When combining like terms, what operation do you perform?

• None of the above

• Addition or subtraction

• Division

• Multiplication

What happens when you subtract 3x from both sides of an equation?

• Both sides decrease by 3x

• 3x is eliminated from one side

• 3x is isolated

• The equation becomes unbalanced

How do you isolate a variable in an equation?

• Multiply by the variable

• None of the above

• Divide by the coefficient of the variable

• Add coefficients

How do you cancel multiplication in an equation?

• By adding

• By subtracting

• By dividing

• By multiplying

What is the result of distributing a negative coefficient across terms?

• All terms become positive

• All terms become negative

• Positive terms become negative and vice versa

• No change to the terms

What is the effect of adding 5a to both sides of an equation?

• 5a is eliminated from one side

• 5a is doubled

• The equation becomes unbalanced

• 5a becomes the only term on one side

What is the final step in solving an equation for a variable?

• Cancel out terms

• Isolate the variable

• Combine like terms

• Distribute coefficients

What is the result of dividing both sides of an equation by 11?

• The equation is simplified

• 11 is added to both sides

• 11 is eliminated from the equation

• The equation becomes more complex