Solving Equations Word Problems

Front

What is a variable in an equation?

Back

A symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

Define a linear equation.

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

What is the purpose of writing an equation from a word problem?

Back

To translate a real-world scenario into a mathematical expression that can be solved.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving a word problem?

Back

Identify the key information and what is being asked.

Front

What does 'x' typically represent in equations?

Back

A common variable used to represent an unknown quantity.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a constant in an equation?

Back

A fixed value that does not change, often represented by a number.

Front

What is the equation for the total cost of items?

Back

Total Cost = Fixed Cost + (Variable Cost per item × Number of items).