7th Grade Math

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

Advanced Topics

Operations with Expressions and Linear Equations

Combining and Solving More Complex Equations

As you advance, you'll learn to perform operations on more complicated expressions and solve linear equations that require more than one step.

Combining Like Terms

When simplifying expressions, group together terms that have the same variable and exponent. For example, \(2x + 3x = 5x\).

Distributive Property

The distributive property allows you to multiply a number across terms in parentheses: \(a(b + c) = ab + ac\).

Multi-Step Equations

Sometimes, you'll need to use several operations to solve for the variable, like \(2(x + 3) = 12\).

Formula

\(a(b + c) = ab + ac\)

Why It Matters

These skills help you break down and solve more challenging problems, from algebra puzzles to science formulas.

Examples

  • Simplifying \(4x + 2x - 3 = 9\) to solve for \(x\).

  • Applying \(2(x + 5) = 16\) to find the value of \(x\).

In a Nutshell

Operations with expressions and multi-step equations help us solve more advanced and realistic math problems.

Key Terms

Distributive Property
A property showing how multiplication distributes over addition.
Like Terms
Terms that have the same variable raised to the same power.