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.
Venn Diagram: Three-Sport Overlap Problem

Use inclusion-exclusion to find students in all three sports. Solve complex overlapping sets with Venn diagrams.

Time Zone Conversion & Flight Arrival

Master UTC time zone conversions across three cities and calculate flight arrival times. Two-part problem with real-world scheduling.

Tree Growth Linear Equations

Tree A starts 21

Two-Digit Number: Digits & Reversal | Algebra

Find Linda's two-digit number given digit sum and reversal clue. Set up system of equations.

Venn Diagram Problem: Math & English Classes

150 freshmen: 85 Math, 70 English, 50 both. Use Venn diagram to find exclusive, combined, and excluded counts.

Video Game Points: Silver & Gold Coins

Bernie and Kenny find coins worth different points. Two games, two unknowns. Solve to find points per coin type.