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 15 + 2.5x = 10 + 3x?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

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

Back

The solution is y = 0.

Front

How do you determine the point at which two different payment options are equal?

Back

Set the equations for both payment options equal to each other and solve for the variable.

Front

What is the equation to find when the cost of an Xbox One and games equals the cost of a Playstation 4 and games?

Back

The equation is 150 + 24x = 180 + 20x.

Front

What does the term 'commission' refer to in a salary equation?

Back

Commission refers to a percentage of sales that is added to a base salary.

Front

How do you write an equation for two different gym payment options?

Back

For Option A: Cost = 30 + 2t; For Option B: Cost = 4t.

Front

What is the solution to the equation 450 + 0.02s = 300 + 0.04s?

Back

The solution is s = 7500.