6.8 Writing equations & inequalities w/variables on both sides

Front

What is an equation?

Back

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

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the equation 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, first simplify both sides, then move all terms involving the variable to one side and constant terms to the other side.

Front

What is the purpose of writing an inequality?

Back

Inequalities are used to express a range of possible values rather than a single solution, often in real-world contexts.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than', indicating that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' represent in an inequality?

Back

The symbol '>' means 'greater than', indicating that the value on the left is larger than the value on the right.

Front

What is the significance of the set-up fee in a catering company equation?

Back

The set-up fee is a fixed cost that must be paid regardless of the number of people being served, affecting the total cost.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents all possible values that satisfy the condition, often expressed as a range.

Front

What is a real-world example of using equations with variables on both sides?

Back

Comparing costs of services, like catering or ice cream, where different pricing structures are involved.