8.5 Solving Equations with Variables on Both Sides

Front

To move a negative term to the other side of the equation, we use the ________________ property of equality.

Back

addition

Front

To move a positive term to the other side of the equation, we use the ________________ property of equality.

Back

subtraction

Front

Red Bird Cruises charges $85 per day plus a one-time fee of $75. King Cruises charges $100 per day plus a fee of $30. Write and solve an equation to determine at what number of days the charge for the cruises will be the same. How many days?

Back

3 days

Front

Three people order the same hamburger, fries, and drink combination at the drive through. The hamburger and fries cost $5.50. The total bill is $23.25. How much is each drink?

Back

$2.25

Front

Super Fitness Gym charges a $50 membership fee plus $12 per month. Mega Muscles Gym charges a $70 membership fee plus $10 per month. After how many months will their cost be the same?

Back

10 months

Front

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

Back

Isolate the variable by moving terms to one side.

Front

What does the term 'variable' mean in an equation?

Back

A symbol used to represent an unknown value.

Front

What is the purpose of the equality sign in an equation?

Back

It indicates that the values on both sides are equal.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4