Variables on Both Sides of the Equation Word Problems

Front

What is a variable in an equation?

Back

A symbol that represents an unknown value in mathematical expressions or equations.

Front

How do you set up an equation for a word problem involving two stores with different prices?

Back

Identify the costs for each item at both stores, then set the total costs equal to each other to form an equation.

Front

What is the first step in solving a word problem with variables on both sides?

Back

Translate the problem into a mathematical equation.

Front

How do you isolate a variable in an equation?

Back

Use inverse operations to get the variable on one side of the equation.

Front

What does it mean to 'solve for x' in an equation?

Back

It means to find the value of x that makes the equation true.

Front

If a carton of eggs costs $2.25 and a package of bacon costs $4.25, how would you express the total cost for one carton of eggs and x packages of bacon?

Back

Total cost = 2.25 + 4.25x.

Front

In the context of the video club problem, how do you compare costs between two options?

Back

Set up equations for the total cost of each club based on the number of videos rented and compare the results.

Front

What is the formula for the total cost of renting a car based on daily and mileage charges?

Back

Total cost = daily charge + (mileage charge per mile * number of miles driven).

Front

How do you determine which option is cheaper in a word problem?

Back

Calculate the total cost for each option and compare the results.

Front

What is the significance of finding a common variable in equations from word problems?

Back

It allows you to set the equations equal to each other to find the point where costs are the same.