Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the slope $m$ and $y$-intercept $b$ of the line given by the equation $4...
Linear EquationsSlope-Intercept FormEquation of a Line
2025/5/18
A retired woman has $100,000 to invest. She wants to invest in two funds: one with a 9% annual yield...
Systems of EquationsLinear EquationsWord ProblemFinancial Mathematics
2025/5/18
The problem asks to solve the equation $16x + \frac{4}{3}y = 15$ for $y$ in terms of $x$.
Linear EquationsSolving EquationsVariable Isolation
2025/5/18
The problem asks to solve the fractional equation $\frac{2x}{2x+5} = \frac{3}{4} - \frac{7}{4x+10}$.
Fractional EquationsSolving EquationsAlgebraic Manipulation
2025/5/18
The problem is to simplify the expression $(-3)^8 \div (-3)^5$.
ExponentsSimplificationOrder of Operations
2025/5/18
The problem is to solve the fractional equation $\frac{2x+2}{x-2} = 5$.
Fractional EquationsSolving EquationsLinear Equations
2025/5/18
We need to solve the equation $\frac{5x}{2} - 7 = \frac{2x - 7}{6}$ for $x$.
Linear EquationsEquation SolvingFractionsSimplification
2025/5/18
The problem asks to solve the linear equation $3(x - 7) = 4 - 2(x + 2)$ for $x$.
Linear EquationsSolving EquationsAlgebraic Manipulation
2025/5/18
The problem is: given points $A(a, 6)$ and $B(2, a)$ lying on the line $4x + 2y = b$, determine the ...
Linear EquationsSystems of EquationsCoordinate Geometry
2025/5/18
We are given that the remainder when $x^4 + 3x^2 - 2x + 2$ is divided by $x+a$ is the square of the ...
Polynomial Remainder TheoremPolynomial DivisionQuadratic Equations
2025/5/18