7th Grade Math

Pre-algebra concepts, geometry, and statistical thinking for seventh grade students.

Basic Concepts

Expressions and Equations

Building and Solving Math Sentences

Expressions are combinations of numbers, variables (like \(x\) or \(y\)), and operations (like \(+\), \(-\), \(\times\), \(\div\)). An equation is like a math sentence: it states that two expressions are equal.

Working with Variables

Variables stand for unknown values. You'll start creating expressions like \(3x + 5\) and solving equations like \(2x = 8\).

Solving One-Step and Two-Step Equations

To find the value of a variable, you "undo" the math operations. For example, to solve \(x + 4 = 10\), subtract 4 from both sides.

Applications

Knowing how to write and solve equations helps with budgeting, figuring out distances, or solving puzzles where something is unknown.

Pro Tip

  • Keep equations balanced by doing the same operation to both sides.

Examples

  • Finding out how many apples you have if you buy 3 and end up with 10: \(x + 3 = 10\).

  • Solving for the cost per ticket if 5 tickets cost $25: \(5x = 25\).

In a Nutshell

Expressions and equations help us solve for unknowns and make sense of relationships between quantities.