Cracking the Code of Algebra

Algebra helps us solve mysteries by using letters to stand for numbers. These letters (called variables) make it possible to describe patterns and solve puzzles.

Expressions vs. Equations

• Expression: A combination of numbers, variables, and operations (like \( 3x + 5 \)).
• Equation: Two expressions set equal to each other (like \( 3x + 5 = 11 \)).

Solving Equations

To find the value of a variable, use inverse operations:

• Add/subtract on both sides to isolate the variable.
• Multiply/divide as needed.

Simplifying Expressions

Combine like terms and use properties to make expressions easier to work with.

Real-World Connection

Algebra is used to figure out how much you’ll pay for movie tickets, calculate travel time, or even code video games!