Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to graph the quadratic equation $y = -x^2 + 10x - 9$. We are asked to make a tab...

Quadratic EquationsParabolaGraphingVertexx-interceptsWord Problem
2025/6/4

The problem asks us to plot the graph of the exponential function $y = 0.5 \cdot 2^x$ on the given c...

Exponential FunctionsGraphing
2025/6/4

The problem asks us to graph the equation $y = -\frac{1}{2}x + 3$ by creating a table of values and ...

Linear EquationsGraphingTable of ValuesCoordinate Plane
2025/6/4

The problem asks to evaluate the function $f(x) = x^2 + 3x$. However, the value of $x$ to use for ev...

FunctionsPolynomials
2025/6/4

The first problem is to simplify the expression $(y - \frac{2}{y+1}) \div (1 - \frac{2}{y+1})$. The ...

Algebraic simplificationRational expressionsGeometryPolygonsInterior angles
2025/6/3

We are given two equations: $x + y = 1$ and $x + 3y = 5$. We need to find the value of the expressio...

Systems of EquationsSubstitutionPolynomial Evaluation
2025/6/3

We need to solve four problems: Problem 8: Determine the correct logical expression representing "Th...

LogicSet TheoryArithmeticExponentsSimplificationFraction Operations
2025/6/3

We have six problems to solve: 1. Round the number 689,653 to three significant figures.

RoundingNumber BasesSimplifying RadicalsLogarithmsQuadratic EquationsFactorizationInverse Variation
2025/6/3

The problem asks to solve a system of two linear equations for $m$ and $n$: $3m - n = 5$ $m + 2n = -...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/3

We are given a system of two linear equations with two variables, $x$ and $y$: $4x + y = 1$ $2x + 3y...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/3