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.Compare surface areas of cylinders. Understand how diameter scaling affects total liner needed for pools.
Find the number of people when two tables split bills equally and per-person costs are equal. Set up and solve equations.
Solve half-life exponential decay: find time for water to drop 50% using decay formula. Multiple methods.
Solve a classic two-variable system: farm animals with known totals and leg counts. Master substitution and elimination methods.
Extend the Fibonacci sequence for daisy petals: 13, 21, 34, ?, ?
Find four consecutive integers that sum to 290. Solve: x + (x+1) + (x+2) + (x+3) = 290.
Find the greatest common divisor to determine how many equal events can be held with students from two schools.
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.