Solving Equations w/ Combining/Distributing

Front

What is the formula to calculate the total cost of renting a car based on daily charge and mileage?

Back

Total Cost = Daily Charge + (Cost per Mile * Number of Miles)

Front

If a rental car agency charges $30.00 per day and $0.15 per mile, what is the total cost for 100 miles?

Back

Total Cost = 30 + (0.15 * 100) = $45.00

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Solve for x: 2x + 3 = 11.

Back

x = 4.

Front

What is the first step in solving the equation 3(x - 2) = 12?

Back

Distribute 3 to both terms inside the parentheses: 3x - 6 = 12.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation -x - 2 = 2x - 8?

Back

x = 2.

Front

If two rental agencies charge the same amount, how can you find the number of miles driven?

Back

Set the total cost equations equal to each other and solve for the number of miles.

Front

What is the solution to the equation 5x - 10 = 0?

Back

x = 2.