Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to solve the inequality $-5x+6 > -2x+9$ and identify the corresponding number li...
InequalitiesLinear InequalitiesNumber Line Representation
2025/3/27
We are given a function $f(x)$ and its values at $x = 0, 1, -1, 2$. We have $f(1) = 0$, $f(2) = 64$...
Polynomial FunctionsRootsFactors
2025/3/27
The problem asks to determine the average rate of change of the function $f(x) = 4(x+2)^2 + 1$ on th...
Average Rate of ChangeFunctionsQuadratic FunctionsCalculus (pre-calculus)
2025/3/27
The problem asks us to find the solution to the compound inequality $5 < 3x + 17 < 71$ and identify ...
InequalitiesCompound InequalitiesNumber Line
2025/3/26
The problem asks us to solve the inequality $2x + 3 \le 5x - 9$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/3/26
We are asked to find the factors of the quadratic function $f(x) = x^2 + 3x + 2$.
Quadratic EquationsFactorizationRoots of Equations
2025/3/26
The problem is to rewrite the compound inequality $3x + 24 < 6(x+6) < 3x + 48$ as a double inequalit...
InequalitiesLinear InequalitiesCompound InequalitiesSolving Inequalities
2025/3/26
The problem asks us to identify which of the given equations represents a family of cubic polynomial...
PolynomialsCubic PolynomialsZerosRootsFactorization
2025/3/26
The problem asks us to express the solution to the compound inequality $233 + 6x \le 8x - 75 \le 475...
InequalitiesCompound InequalitiesSolving InequalitiesLinear InequalitiesSet Notation
2025/3/26
The problem asks us to find the values of $x$ for which the quadratic function $f(x) = x^2 + 7x + 7$...
Quadratic EquationsQuadratic FormulaInequalitiesRoots of Equations
2025/3/26