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.Initial collection $5. Each person adds same amount. Find total after the 35th person contributes.
Count ways to assign 12 astronauts to two rockets (3 and 4 people) with 4 experienced required. Combinatorics with constraints.
Find number of ways to select 5 starters from 12 players using combinations. C(12,5) formula.
Compare two phone plans: 25¢/min vs. $0.95 + 12¢/min. Find when the second plan becomes preferable.
Calculate remaining radioactive tin after 50 days using half-life formula with 10-day period.
Classic logic puzzle: which lockers are open after 100 days of toggling? Discover the perfect square connection.
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.
Two groups cleaning bleachers at different rates. Set up, graph, and solve the system to find when they meet.
Find three consecutive integers that add to 51. Solve using x + (x+1) + (x+2) = 51.