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...
Advanced Topics

Systems of Equations and Inequalities

Working With More Than One Equation

Sometimes, you’ll need to solve problems with two or more equations at once. These are called systems of equations.

Solving Strategies

You can solve systems by substitution, elimination, or graphing. On the PSAT, you'll often find the point where two lines cross.

Inequalities

Inequalities show when one value is greater or less than another. You might solve linear inequalities or represent solutions on a number line.

Real-Life Scenarios

Systems help you plan events, manage resources, or compare prices. Understanding inequalities is key for setting limits or goals.

Examples

  • Finding the price of two types of tickets if you know the total cost and number of tickets.

  • Solving \(x + y = 10\) and \(x - y = 2\) by adding the equations to find \(x = 6\).

In a Nutshell

Systems help you make decisions when there are multiple conditions or constraints.

Key Terms

System of Equations
A set of two or more equations with the same variables.
Inequality
A mathematical statement showing one value is greater or less than another.
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Budgeting and Financial Literacy