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.Fatoumata's rewards card problem. Write and solve a linear inequality to find the minimum visits needed for a free movie ticket.
Robot distance: d(t) = t³−13t²+40t. Find all times t when d(t)=0 (returned home). Solve cubic polynomial.
Find the probability that two competitors throw the same choice in rock-paper-scissors. Express as a fraction.
Bailee deposits $500 with balance multiplying by 1.0025 monthly. Write the explicit formula for amount after n months.
38 bird photos, 200 points total. Songbirds worth 4 pts each, birds of prey 20 pts. Find how many of each type.
Sally and Steve buy apples and oranges. Write and solve a system of 2 equations to find the price of each fruit.
Two groups cleaning bleachers at different rates. Set up, graph, and solve the system to find when they meet.
Set up and solve: 25 tables, 190 total seats. Round tables (6 seats), rectangular tables (8 seats). Find quantities.
Find three consecutive integers that add to 51. Solve using x + (x+1) + (x+2) = 51.
Solve a system of equations for a race with staggered start. Find when faster runner catches up.