PSAT Math

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

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.
Systems of Equations and Inequalities - PSAT Math Content | Practice Hub