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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.
System of Equations: Volunteer Cleanup Problem
Two groups cleaning bleachers at different rates. Set up, graph, and solve the system to find when they meet.
Three Consecutive Integers Sum 51
Find three consecutive integers that add to 51. Solve using x + (x+1) + (x+2) = 51.
Three-Set Venn Diagram Problem
Use inclusion-exclusion principle with three overlapping sets. Find houses with exactly two amenities.
Two-Digit Number: Digits & Reversal | Algebra
Find Linda's two-digit number given digit sum and reversal clue. Set up system of equations.
Venn Diagram Problem: Math & English Classes
150 freshmen: 85 Math, 70 English, 50 both. Use Venn diagram to find exclusive, combined, and excluded counts.
Video Game Points: Silver & Gold Coins
Bernie and Kenny find coins worth different points. Two games, two unknowns. Solve to find points per coin type.