Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a graph of an exponential function of the form $y = a + 2^{x+b}$. We need to find the e...
Exponential FunctionsEquation SolvingSubstitutionCoordinate Geometry
2025/3/16
A container is initially $\frac{2}{5}$ full of fruit juice. 700 ml of water is added, and the contai...
Word ProblemFractionsLinear EquationsPercentagesVolume
2025/3/16
The problem asks us to find the domain of the given functions. We need to consider cases where we ha...
DomainFunctionsSquare RootsFractionsInequalitiesQuadratic Equations
2025/3/15
The problem asks us to simplify the expression $[5a^5b^2 \times 3(ab^3)^2] \div (15a^2b^8)$.
ExponentsSimplificationAlgebraic ExpressionsPolynomials
2025/3/15
We have two problems to solve. (c) Simplify the expression $[5a^5b^2 \times 3(ab^3)^2] \div (15a^2b^...
ExponentsSimplificationAlgebraic ExpressionsEquations
2025/3/15
We need to solve for $x$ in the equation $(\frac{1}{3})^{\frac{x^2-2x}{16-2x^2}} = 4^x \sqrt{9}$.
ExponentsLogarithmsEquationsAlgebraic Manipulation
2025/3/15
We have four separate problems to solve: (a) Find the value of $w$ given the equation $\log(w+5) + \...
LogarithmsExponentsSimplificationEquationsInteger PropertiesQuadratic Equations
2025/3/15
We are asked to solve four different math problems: (a) Find the value of $w$ such that $\log(w+5) +...
LogarithmsExponentsSimplificationEquationsAlgebraic ManipulationInteger Properties
2025/3/15
The ratio of blue tiles to green tiles is given as $(2x+1):(4x+9)$. It is also given that $\frac{1}{...
RatioLinear EquationsAlgebraic Manipulation
2025/3/14
We are given the ratio of daisies to lilies to daffodils as $4h:9:2h$. We need to find the fraction ...
RatiosFractionsAlgebraic ExpressionsSimplification
2025/3/14