Algebra Practice Problems

Algebra word problems are the broadest category — any scenario that translates into equations you need to solve. A number is 7 more than twice another number and their sum is 34: find both numbers. A phone plan charges a flat fee plus a per-minute rate: when does it become cheaper than the competitor? These problems span from simple one-variable equations through systems, quadratics, and inequalities. What they all share is the core algebraic skill: reading a situation, assigning variables, writing equations, and solving. If you can do this reliably, every other word problem category becomes easier because the translation step is the hard part — and this is where you practice it most.
Mars Mission: Astronaut Selection with Constraints

Count ways to assign 12 astronauts to two rockets (3 and 4 people) with 4 experienced required. Combinatorics with constraints.

Half-Life Problem: Exponential Decay

Calculate remaining radioactive tin after 50 days using half-life formula with 10-day period.

Revenue Optimization: Price Increase Problem

Write a revenue equation and find the price that maximizes amusement park admission revenue.