Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem defines a function $g(x) = \frac{3x}{1-x}$. We are asked to find two things: (i) The val...
FunctionsInverse FunctionsAlgebraic Manipulation
2025/3/25
The problem asks us to determine the number of solutions for the given system of equations: $y + \fr...
Systems of EquationsLinear EquationsSolutionsIdentical Equations
2025/3/25
Kiran has 27 nickels and quarters in his pocket, with a total value of $2.75. We need to determine t...
Systems of EquationsWord ProblemsLinear Equations
2025/3/25
We are asked to solve the following system of linear equations without graphing: $7x + 11y = -2$ $7x...
Linear EquationsSystem of EquationsElimination MethodSubstitution
2025/3/25
Noah is solving the inequality $7x + 5 > 2x + 35$. He first solves the equation $7x + 5 = 2x + 35$ a...
InequalitiesLinear InequalitiesSolving Inequalities
2025/3/25
The problem states that Noah is trying to solve the inequality $7x + 5 > 2x + 35$. He first solves t...
InequalitiesLinear InequalitiesSolving InequalitiesAlgebraic Manipulation
2025/3/25
The problem asks to find the value of $x$ that makes the two sides of the inequality $\frac{-10+x}{4...
InequalitiesLinear EquationsSolving EquationsFractionsAlgebraic Manipulation
2025/3/25
The problem asks us to find the graph that represents the solution to the inequality $5 + 8x < 3(2x+...
InequalitiesLinear InequalitiesGraphing InequalitiesNumber Line
2025/3/25
The problem asks us to find the value of $x$ that satisfies the equation obtained by replacing the i...
Linear EquationsInequalitiesSolving EquationsAlgebraic Manipulation
2025/3/25
The first problem asks us to find which of the given values of $x$ are solutions to the inequality $...
InequalitiesLinear InequalitiesSolution SetsAlgebraic Manipulation
2025/3/25