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.Solve half-life exponential decay: find time for water to drop 50% using decay formula. Multiple methods.
Solve a classic two-variable system: farm animals with known totals and leg counts. Master substitution and elimination methods.
Extend the Fibonacci sequence for daisy petals: 13, 21, 34, ?, ?
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.