The Language of Algebra

Algebra uses symbols like \( x \) or \( y \) to stand for unknown numbers. Expressions combine numbers, variables, and operations. Equations use an equals sign to show two expressions are the same. Inequalities show when one value is greater or less than another.

Solving Equations

To solve an equation, find the value for the variable that makes it true.

• For \( x + 5 = 12 \), subtract 5 from both sides: \( x = 7 \).

Working with Inequalities

Inequalities use symbols like >, <, \( \geq \), or \( \leq \).

• \( x > 3 \) means any value greater than 3 is a solution.
• You can solve them much like equations, but remember: if you multiply or divide by a negative, flip the inequality sign!

Why Does This Matter?

Algebra helps us solve problems in the real world, like figuring out how much money you need, or how long something will take.