Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to simplify the expression $\frac{x^2-2x-15}{x^2-9} \times \frac{x^2-8x+15}{x^2-10x+25}...
Algebraic SimplificationRational ExpressionsFactoringRestrictions on Variables
2025/5/1
We are asked to simplify the following expression: $\frac{3m}{4m+8} + \frac{4m-n}{3m+6} - \frac{2n}{...
Algebraic FractionsSimplificationPolynomialsRational ExpressionsCommon Denominator
2025/5/1
The problem asks to simplify the expression $\frac{x+7}{x^2+x-56} - \frac{x+8}{x^2-49}$.
Algebraic ExpressionsSimplificationRational ExpressionsFactorizationFractions
2025/5/1
We need to solve the equation $\frac{3-x}{x-2} = 1 - \frac{2x-5}{x+2}$ for $x$.
EquationsRational EquationsSolving EquationsAlgebraic Manipulation
2025/5/1
The problem asks which variable determines the amplitude of the function $y = A\sin(B(x-C)) - D$, gi...
TrigonometrySinusoidal FunctionsAmplitudeFunction Transformations
2025/5/1
The problem is to solve the following equation for $x$: $\frac{2x-1}{x^2-1} = \frac{2}{x+2}$
EquationsRational EquationsSolving EquationsAlgebraic Manipulation
2025/5/1
The problem states that the ratio of rings to bracelets is $2:3$, and the ratio of bracelets to neck...
Ratio and ProportionWord ProblemAlgebraic Equations
2025/4/30
We are asked to solve several systems of linear equations. We'll solve system number 6. The system ...
Linear EquationsSystems of EquationsElimination MethodSolution Verification
2025/4/30
The image presents a set of problems related to systems of equations. These include solving systems ...
Systems of EquationsLinear EquationsSubstitution MethodElimination MethodSolution VerificationWord Problems
2025/4/30
The image presents five function-related problems. We will solve each problem separately. Question 1...
FunctionsLinear FunctionsQuadratic FunctionsGraphingWord ProblemsSlope-intercept form
2025/4/30