Word Problems Variables on both sides

Front

What is a variable in a mathematical equation?

Back

A symbol used to represent an unknown value in an equation.

Front

How do you set up an equation for a word problem?

Back

Identify the variables, write an equation based on the relationships described in the problem, and solve for the unknown.

Front

What does it mean for two expressions to be equal?

Back

It means that the values of both expressions are the same for the same input.

Front

How do you solve an equation with variables on both sides?

Back

Isolate the variable by moving all terms involving the variable to one side and constant terms to the other side.

Front

What is the first step in solving the taxi problem?

Back

Define the variables: let x be the number of miles.

Front

What is the cost equation for Taxi Company A?

Back

Cost_A = 8 + 0.75x.

Front

What is the cost equation for Taxi Company B?

Back

Cost_B = 6 + 1.25x.

Front

How do you find the number of miles where both taxi companies charge the same?

Back

Set the two cost equations equal to each other and solve for x.

Front

What is the equation you get when setting the two taxi cost equations equal?

Back

8 + 0.75x = 6 + 1.25x.

Front

What is the solution to the equation 8 + 0.75x = 6 + 1.25x?

Back

x = 4.