Writing Equations From Word Problems

Front

What is the general form of a linear equation used to represent a word problem involving costs?

Back

The general form is: Total Cost = Fixed Cost + (Variable Cost per Unit * Number of Units).

Front

How do you set up an equation to compare costs from two different rental agencies?

Back

You set up an equation by equating the total costs of both agencies, which includes fixed daily charges and variable mileage charges.

Front

What does the variable 'x' typically represent in a word problem involving costs?

Back

The variable 'x' usually represents the number of units, such as miles driven or hours worked.

Front

In the equation 7w + 5 = 3w - 15, what does 'w' represent?

Back

In this equation, 'w' represents a variable quantity that needs to be solved for.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

How do you interpret the solution of an equation in a word problem context?

Back

The solution represents the value of the variable that satisfies the conditions of the problem.

Front

What is the significance of the fixed cost in a word problem involving rental services?

Back

The fixed cost is the amount charged regardless of usage, which is essential for calculating total costs.

Front

How can you determine the number of items needed to equalize costs between two stores?

Back

Set up an equation where the total costs from both stores are equal and solve for the number of items.

Front

What does the term 'tip' represent in a word problem involving service charges?

Back

The tip is an additional fixed amount added to the service charge, affecting the total cost.

Front

In the equation 8w - 8 = -4x + 16, how do you solve for 'w'?

Back

You isolate 'w' by rearranging the equation to get 'w' on one side and constants on the other.