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 first step in solving a word problem involving equations?

Back

Identify the variables and write an equation based on the problem's context.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

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

Back

To translate the problem into a mathematical form that can be solved.

Front

What does 'spending all your money' imply in a word problem?

Back

It means that the total cost of items purchased equals the total amount of money available.

Front

How do you determine the number of items you can buy with a budget?

Back

By dividing the remaining money by the cost of each item.

Front

What is the significance of the coefficients in an equation?

Back

They represent the number of units of the variable in the context of the problem.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.