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.Find the recursive formula for Robert's decreasing soda consumption (150→135→121.5...) and predict month 12.
Globe Theater sold 400 tickets for $3,100. Adults $9, children $5. Solve system to find each type. Substitution & elimination methods.
Two gyms charge different fees. Find when monthly costs are equal. Linear equation problem with multiple methods included.
Calculate remaining radioactive tin after 50 days using half-life formula with 10-day period.
Find when two health club costs are equal using a system of linear equations. Substitution or graphing method.
Solve a combined direct and inverse variation problem to find chronological age given IQ and mental age.
Find when bell (every 2 min) and lights (every 3 min) happen simultaneously. LCM application from store opening.
Salma sold 60 cups totaling 920 ounces. Small=12oz, large=16oz. Find cups of each size using systems.
Maximize profit: earrings vs necklaces with bead constraints and production limits. Solve system of linear inequalities.
Classic logic puzzle: which lockers are open after 100 days of toggling? Discover the perfect square connection.