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.
Ball thrown up travels 33, 30, 27... inches per tenth-second. Find time to max height and total distance.
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.
Minimize bus rental cost for 400 students with capacity and driver constraints. Linear programming word problem with practical application.
Find probability of selecting all Republicans from a mixed group. Master combination counting.
Calculate annual profit given three different cost-income relationships per quarter. Piecewise profit model solved step-by-step.
Classic animal-leg problem solved with systems of equations. Learn substitution and algebraic reasoning for real-world constraints.
Find the number of people when two tables split bills equally and per-person costs are equal. Set up and solve equations.