Variables on Both Sides - Word Problems

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation -4y + 8 = 2y + 8?

Back

The first step is to move all terms involving y to one side and constant terms to the other side.

Front

What is the solution to the equation -4y + 8 = 2y + 8?

Back

The solution is y = 0.

Front

How can you represent a real-world situation with an equation?

Back

You can represent a real-world situation by identifying quantities that change and expressing their relationships using variables.

Front

What does the equation 25 + 0.05x = 50 + 0.01x represent?

Back

It represents a comparison of costs from two cell phone companies based on the number of minutes used.

Front

How do you determine when two linear equations are equal?

Back

You set the equations equal to each other and solve for the variable.

Front

What is the significance of the membership card cost in Juan's gym problem?

Back

The membership card cost affects the total cost depending on how many times he goes to the gym.

Front

What equation can be used to find when the costs of two gym options are equal?

Back

The equation is 30 + 2t = 4t.