Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to simplify the given expressions involving exponents and quotients. We will address ...
ExponentsQuotient RuleSimplification
2025/4/23
The problem requires simplifying ten different expressions involving exponents and fractions. The ex...
ExponentsExponent RulesSimplificationQuotient of PowersPower of a PowerPower of a ProductPower of a Quotient
2025/4/23
We are asked to simplify the expression $9^8 \cdot 9^2$.
ExponentsSimplificationAlgebraic Manipulation
2025/4/23
We are given an arithmetic progression (A.P.). The sixth term is 37, and the sum of the first six te...
Arithmetic ProgressionSequences and SeriesLinear EquationsSum of Arithmetic Series
2025/4/23
We are asked to simplify ten expressions involving exponents and fractions.
ExponentsFractionsRules of ExponentsSimplification
2025/4/23
The problem is to add two rational expressions: $\frac{t}{t+6} + \frac{t-3}{t-6}$.
Rational ExpressionsAlgebraic ManipulationSimplificationCommon DenominatorPolynomials
2025/4/23
The problem asks to solve the equation $\frac{2}{3}(3x-5) - \frac{3}{5}(2x-3) = 3$ for $x$.
Linear EquationsEquation SolvingFractions
2025/4/23
The problem requires simplifying the expression $\frac{5p+9}{3-2p} - 4$.
Algebraic ExpressionsSimplificationFractions
2025/4/23
We are given two problems: (a) We need to find the value of $y$ given the equation $(y-1) \log_{10}4...
LogarithmsEquationsDistanceRateTime
2025/4/23
The problem asks to write a program or define the domain of each of the following functions: 1. $f(x...
FunctionsDomainSquare RootRational FunctionsPolynomialsInequalities
2025/4/23