Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to prove the trigonometric identity $(1 + tan A)^2 + (1 + cot A)^2 = (sec A + csc A)^2$...
Trigonometric IdentitiesProofTrigonometry
2025/4/15
We are asked to prove the trigonometric identity: $sinA(cscA + sinAsec^2A) = sec^2A$
TrigonometryTrigonometric IdentitiesProof
2025/4/15
The problem asks us to find the equation of line $l$ and line $m$ in slope-intercept form. The slope...
Linear EquationsSlope-intercept formLinesCoordinate Geometry
2025/4/14
We are asked to simplify the expression $x(x+5) - 2(x+5)$.
PolynomialsFactoringSimplificationExpanding
2025/4/14
The problem is to solve the equation $5(3 - x) = 55$ for $x$.
Linear EquationsSolving EquationsVariable Isolation
2025/4/14
The problem asks to find the maximum value $M$ of the function $f(x) = |x^2 - 2x|$ in the interval $...
FunctionsAbsolute ValueMaximum ValueOptimizationIntervals
2025/4/14
We are asked to expand the expression $(7 + \sqrt{3x})^2$.
Algebraic ExpansionSquare of a BinomialRadicals
2025/4/14
We are given the function $f(x) = |x-5| - 1$. We need to determine if the function is even, odd, or...
FunctionsAbsolute ValueEven/Odd FunctionsRange of a FunctionGraphing
2025/4/14
We are given two sequences $(U_n)_{n \in \mathbb{N}}$ and $(V_n)_{n \in \mathbb{N}}$ defined by the ...
SequencesSeriesGeometric SequencesConvergenceLimits
2025/4/14
We are given two sequences, $(U_n)_{n \in \mathbb{N}}$ and $(V_n)_{n \in \mathbb{N}}$, defined by $U...
SequencesGeometric SequencesRecurrence RelationsExplicit Formula
2025/4/14