Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The length of a straight line ABC is 5 meters. The ratio of the length of AB to the length of BC is ...

Ratio and ProportionLinear EquationsWord Problem
2025/6/26

Samir buys $x$ cans of soda at 30 cents each and $(x+4)$ cans of soda at 35 cents each. The total co...

Linear EquationsWord ProblemProblem Solving
2025/6/26

A man's salary increases by $500 each year. Over four years, he earns a total of $17800. We need to ...

Linear EquationsWord ProblemsArithmetic Sequences
2025/6/26

We are given a system of two linear equations with two variables, $x$ and $y$: $x + 2y = 1$ $2x + 3y...

Linear EquationsSystems of EquationsElimination MethodSolution
2025/6/26

We are given a system of two linear equations with two variables, $x$ and $y$: $4x + y = 14$ $x + 5y...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/26

The problem asks to solve systems of linear equations using the substitution method. We will solve q...

Systems of EquationsLinear EquationsSubstitution Method
2025/6/26

We are asked to solve two systems of linear equations using the substitution method. The first syste...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/26

The problem consists of solving two sets of inequalities. (1) is a system of inequalities: $8x - 15 ...

InequalitiesLinear InequalitiesCompound InequalitiesSystems of Inequalities
2025/6/26

We are given the equation $|x+6| = 2x$ and a partially completed solution. We need to fill in the bl...

Absolute Value EquationsSolving EquationsInequalities
2025/6/26

The problem asks us to solve two sets of inequalities and find the values that fill in the boxes. (1...

InequalitiesCompound InequalitiesLinear Inequalities
2025/6/26