SAT Math

A comprehensive course to master all the mathematical concepts, skills, and strategies needed to succeed on the SAT exam.

Numbers and OperationsAlgebraic Expressions and EquationsLinear Functions and Graphs
Quadratic Functions and ParabolasSystems of EquationsData Analysis and Statistics
Budgeting and Financial MathDistance, Rate, and Time ProblemsGeometry in Construction and Design
Plugging In NumbersBacksolving Answer Choices
Numbers and Operatio...Algebraic Expression...Linear Functions and...Quadratic Functions ...Systems of EquationsData Analysis and St...Budgeting and Financ...Distance, Rate, and ...Geometry in Construc...Plugging In NumbersBacksolving Answer C...
Basic Concepts

Algebraic Expressions and Equations

Expressions vs. Equations

An expression is a math phrase that can have numbers, variables, and operations (like \( 2x + 3 \)). An equation sets two expressions equal to each other (like \( 2x + 3 = 7 \)).

Manipulating Expressions

You’ll need to simplify expressions by combining like terms or using the distributive property (\( a(b + c) = ab + ac \)).

Solving Equations

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

Real-World Applications

Algebra helps you figure out things like how many hours you need to work to earn a certain amount or how much pizza you’ll get if you split it with friends.

Key Ideas

  • Always perform the same operation on both sides of the equation.
  • Check your solution by plugging it back in.

Examples

  • Solving \( 2x + 3 = 11 \): Subtract 3, then divide by 2, so \( x = 4 \)

  • Simplifying \( 3(x + 2) = 3x + 6 \)

In a Nutshell

Learn to work with and solve algebraic expressions and equations.

Key Terms

Variable
A symbol (often x or y) that represents an unknown value.
Equation
A statement showing two expressions are equal.
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Linear Functions and Graphs