Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to simplify expressions involving multiplication of exponents with the same base. T...
ExponentsExponent RulesSimplification
2025/4/24
The problem is to simplify the given expressions using the properties of exponents. The general form...
ExponentsSimplificationAlgebraic Expressions
2025/4/24
The problem asks to simplify expressions involving multiplication of numbers raised to some power. T...
ExponentsSimplificationRules of Exponents
2025/4/24
The problem is to simplify expressions involving powers of quotients. We have 12 expressions to simp...
ExponentsSimplificationAlgebraic ExpressionsPowers
2025/4/24
We are given a recursive sequence defined by $a_1 = 2$ and $a_{n+1} = 3a_n + 4$. We want to find the...
Sequences and SeriesRecursive SequencesGeometric Sequences
2025/4/24
The problem asks to simplify expressions involving exponents and products. We need to apply the powe...
ExponentsSimplificationProduct of Powers RulePower of a Product Rule
2025/4/24
If we double the side of a square, its area increases by $147 cm^2$. What is the length of the side ...
GeometryAreaQuadratic EquationsWord Problem
2025/4/24
The problem asks us to simplify several expressions involving exponents and negative numbers. We wi...
ExponentsNegative NumbersSimplificationExponent Rules
2025/4/24
The problem is divided into three parts. Part (a) requires completing a table of values for the equa...
Quadratic EquationsGraphingParabolaRootsInequalities
2025/4/24
(a) A company requires 3 hours of labor for every $N87.00$ worth of raw materials. Given that the co...
Linear EquationsSimple InterestWord ProblemsSystems of Equations
2025/4/24