PSAT Math

A comprehensive guide to mastering the math concepts tested on the PSAT, including real-world applications and testing strategies.

Numbers and OperationsAlgebraic Expressions and EquationsData Analysis and Problem Solving
Functions and Their PropertiesGeometry and MeasurementSystems of Equations and Inequalities
Budgeting and Financial LiteracyTravel and Distance CalculationsSports Statistics and Analysis
Time Management on the PSATGuessing and Elimination Strategies
Numbers and Operatio...Algebraic Expression...Data Analysis and Pr...Functions and Their ...Geometry and Measure...Systems of Equations...Budgeting and Financ...Travel and Distance ...Sports Statistics an...Time Management on t...Guessing and Elimina...
Basic Concepts

Algebraic Expressions and Equations

What Is Algebra?

Algebra is like a puzzle where letters stand for numbers you need to find. It helps describe real-life situations with formulas and equations.

Simplifying Expressions

Combine like terms and use the distributive property to make expressions easier to work with.

Solving Equations

To solve equations, do the same thing to both sides until you isolate the variable. This is useful for finding unknown values in a wide range of settings.

Putting It Into Practice

Algebra helps you plan budgets, predict outcomes, and analyze trends. On the PSAT, you'll solve both simple and multi-step equations.

Examples

  • Solving \(2x + 3 = 11\): Subtract 3 and divide by 2 to get \(x = 4\).

  • Simplifying \(5(y + 2) - 3y\): Distribute and combine like terms to get \(2y + 10\).

In a Nutshell

Algebra is the language of mathematics used to find unknown values and solve problems.

Key Terms

Variable
A symbol, usually a letter, that represents a number.
Equation
A mathematical statement showing two expressions are equal.
Expression
A combination of numbers, variables, and operations without an equals sign.
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Data Analysis and Problem Solving