Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to complete the table for the function $y = \frac{1}{2}(7)^x$ for the given values of $...
Exponential FunctionsFunction EvaluationExponents
2025/6/5
Question 20: In an arithmetic progression, the first term is 2, and the sum of the 1st and 6th terms...
Arithmetic ProgressionGeometryArea of SectorExponentsSignificant FiguresQuadratic EquationsGraphing
2025/6/5
The problem is to solve the inequality $\frac{4}{5}x - (x+3) < \frac{1}{3}(x-1)$.
InequalitiesLinear InequalitiesAlgebraic Manipulation
2025/6/5
The problem asks to simplify four expressions using only positive exponents and without a calculator...
ExponentsSimplificationRadicalsAlgebraic Expressions
2025/6/4
The problem asks to find the y-intercept and x-intercepts of the quadratic equation $y = x^2 - 2x - ...
Quadratic EquationsInterceptsFactorizationCoordinate Geometry
2025/6/4
The problem asks us to analyze the quadratic function $y = x^2 - 2x$ by finding its y-intercept, x-i...
Quadratic FunctionsParabolaInterceptsVertexCompleting the Square
2025/6/4
The problem presents a graph showing the distance from school versus time for two girls, Feng and We...
Linear EquationsRate of ChangeWord ProblemSystems of EquationsSlope-intercept form
2025/6/4
We are asked to factor each quadratic equation and use the Zero Product Property to find the roots. ...
Quadratic EquationsFactoringZero Product PropertyRoots of Equations
2025/6/4
The problems are to analyze and likely graph the given quadratic equations: 3) $y = -x^2 + 8x - 12$ ...
Quadratic EquationsVertexInterceptsFactoring
2025/6/4
We are asked to analyze two quadratic equations: $y = x^2 + 8x + 15$ and $y = -2x^2 - 8x - 6$. For e...
Quadratic EquationsParabolaInterceptsVertexGraphing
2025/6/4