Writing Equations from Word Problems

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to model a situation with an equation?

Back

To create a mathematical representation of a real-world scenario using variables and constants.

Front

What is the equation for a total cost that includes a fixed fee and a variable fee?

Back

Total Cost = Fixed Fee + (Variable Fee per unit * Number of units)

Front

How do you represent a situation where two quantities are equal?

Back

Using an equation with an equal sign, such as x = y.

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

In the equation y = mx + b, what do m and b represent?

Back

m is the slope (rate of change), and b is the y-intercept (starting value) of the line.

Front

How do you translate 'three more than twice a number' into an equation?

Back

If the number is represented by x, the equation is 2x + 3.

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.

Front

What is the purpose of solving an equation?

Back

To find the value of the variable that makes the equation true.

Front

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

Back

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