Writing Equations & solving equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

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

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What does it mean to have a flat fee in a pricing model?

Back

A flat fee is a fixed charge that does not change regardless of the amount of service provided.

Front

How do you set up an equation to compare two pricing models?

Back

You set up an equation by equating the total costs of the two models based on the same variable, such as hours of service.

Front

What is the solution to the equation 7x + 2 = 30?

Back

The solution is x = 4.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation.