Equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you solve an equation with variables on both sides?

Back

To solve, you can first move all terms involving the variable to one side and constant terms to the other side, then simplify and isolate the variable.

Front

What is the first step in solving the equation 10h = 5h + 7?

Back

Subtract 5h from both sides to get 5h = 7.

Front

What does it mean for two expressions to be equal?

Back

It means that the values of the expressions are the same for the same values of the variables.

Front

What is the significance of the solution to an equation?

Back

The solution represents the value(s) of the variable that make the equation true.

Front

How can 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 an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you represent a budget constraint in an inequality?

Back

You express the total costs as an inequality that must not exceed the budget limit.

Front

What is the meaning of the term 'variable' in mathematics?

Back

A variable is a symbol used to represent an unknown value in an equation or expression.

Front

What does the term 'constant' refer to in an equation?

Back

A constant is a fixed value that does not change.