Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are asked to solve two systems of linear equations without using graphing. System a: $2x + 3y = 5...

Linear EquationsSystems of EquationsElimination MethodSolving Equations

We are given the formula for the volume of a cone: $V = \frac{1}{3} \pi r^2 h$. We want to solve thi...

Formula ManipulationSolving EquationsVolume of a Cone

The problem describes Han building a dog house with a budget of $65. He needs at least 60 square fee...

InequalitiesLinear InequalitiesWord ProblemOptimizationConstraints

Jada is making lemonade for a get-together with 5 to 8 people. She plans to prepare 2 cups of lemona...

InequalitiesLinear EquationsWord ProblemConstraints

The problem asks us to find the inequality that represents the amount of money $x$ Tyler can spend a...

InequalitiesBudgetWord Problem

We need to perform polynomial long division for three problems: a) $(x^3 - 2x + 1) \div (x - 4)$ b) ...

Polynomial Long DivisionPolynomials

We are given that the sides of a right triangle are $x$, $x+1$, and $x+2$. We need to find the side ...

Pythagorean TheoremQuadratic EquationsAlgebraRight TrianglesProblem Solving

The problem states that a rectangle's length is 10 feet longer than its width. The area of the recta...

Word ProblemQuadratic EquationsAreaRectangleFactoring

The problem is to solve the following equation for $k$: $\frac{k}{3} + 4 - 5k = -2k$

Linear EquationsEquation SolvingFractionsAlgebraic Manipulation

We need to solve the following linear equation for $x$: $3x + 7 - 11x = 31$

Linear EquationsSolving EquationsAlgebraic Manipulation

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