Equations Word Problems

Front

What is the general form of a linear equation used to represent a word problem involving a fixed cost and a variable cost?

Back

The general form is: Variable Cost * x + Fixed Cost = Total Cost.

Front

How do you represent a situation where a quantity increases by a fixed amount?

Back

You can represent it with the equation: f + initial_value = final_value.

Front

What does the term 'less than' indicate in an algebraic expression?

Back

It indicates subtraction. For example, '10 less than a number x' is represented as x - 10.

Front

How do you express 'twice a number' in algebraic terms?

Back

It is expressed as 2x, where x is the number.

Front

What is the equation for a situation where a total is reached by adding a fixed amount to a variable amount?

Back

The equation is: variable_amount + fixed_amount = total.

Front

How do you set up an equation for a problem involving a total cost with a per-unit charge?

Back

The equation is: per_unit_charge * number_of_units + fixed_fee = total_cost.

Front

What is the first step in solving a word problem that involves an equation?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you translate the phrase 'five less than twice a number' into an equation?

Back

It translates to: 2x - 5 = some_value.

Front

What does the equation 1/2x - 10 = 8 represent in a word problem context?

Back

It represents a situation where half of a number, decreased by 10, equals 8.

Front

How can you determine the number of classes taken if you know the total cost and the cost per class?

Back

Set up the equation: cost_per_class * number_of_classes + registration_fee = total_cost.