Word Problems Variables on both sides

Front

What is a variable in a mathematical expression?

Back

A symbol used to represent an unknown value in an equation or inequality.

Front

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

Back

It means to isolate the variable by performing operations to both sides of the equation until the variable is alone on one side.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship (greater than, less than), and express it using variables.

Front

What is the first step in solving a word problem involving inequalities?

Back

Read the problem carefully and identify the key information and what is being asked.

Front

How do you convert a word problem into an equation?

Back

Translate the words into mathematical symbols and expressions based on the relationships described.

Front

What is the significance of the inequality symbol in a word problem?

Back

It indicates the relationship between two quantities, such as one being greater than or less than the other.

Front

How can you check if your solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What does it mean for one quantity to be greater than another in a word problem?

Back

It means that the first quantity exceeds the second quantity in value.

Front

What is the formula to find the cost of a taxi ride based on distance?

Back

Cost = Base fare + (Cost per mile * Number of miles).

Front

How do you set up an inequality to compare two different costs?

Back

Write an inequality that represents the condition where one cost is less than the other.