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.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.
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.
Solve a system of equations for a race with staggered start. Find when faster runner catches up.
Use inclusion-exclusion principle with three overlapping sets. Find houses with exactly two amenities.
Use inclusion-exclusion to find students in all three sports. Solve complex overlapping sets with Venn diagrams.
Master UTC time zone conversions across three cities and calculate flight arrival times. Two-part problem with real-world scheduling.
Find Linda's two-digit number given digit sum and reversal clue. Set up system of equations.