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.Find the greatest common divisor to determine how many equal events can be held with students from two schools.
Globe Theater sold 400 tickets for $3,100. Adults $9, children $5. Solve system to find each type. Substitution & elimination methods.
Two gyms charge different fees. Find when monthly costs are equal. Linear equation problem with multiple methods included.
Calculate remaining radioactive tin after 50 days using half-life formula with 10-day period.
Find when two health club costs are equal using a system of linear equations. Substitution or graphing method.
Classic logic puzzle: which lockers are open after 100 days of toggling? Discover the perfect square connection.
Given 45 m² of material for a square-base box with no top, find dimensions that maximize volume. Uses calculus and constraints.
Write a recursive formula for newsletter subscriptions decreasing by 80 per month, starting at 4,000.
Write a revenue equation and find the price that maximizes amusement park admission revenue.
Fatoumata's rewards card problem. Write and solve a linear inequality to find the minimum visits needed for a free movie ticket.