Working with Variables and Solving for Unknowns

Expressions use numbers, variables (like x), and operations, but no equals sign. Equations have an equals sign and show two things are the same. Inequalities use signs like \( < \), \( > \), \( \leq \), or \( \geq \).

Simplifying Expressions

Combine like terms and use the order of operations (\( \text{PEMDAS} \)) to make expressions easier to understand.

Solving Equations

To solve equations, find the value of the variable that makes the equation true. Use inverse operations to isolate the variable.

Solving Inequalities

Inequalities work like equations, but you’re comparing values instead of setting them equal.

Real-World Uses

• Figuring out how many tickets you need to sell to make a profit.
• Finding minimum or maximum values in budgeting.
• Describing possible ranges for measurements.