Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are asked to solve the equation $5^{2x+1} = 125$ for the value of $x$.

ExponentsEquationsSolving Equations

We are given two conditions relating two numbers $x$ and $y$. First, their sum is 35, so $x + y = 35...

Systems of EquationsLinear EquationsSolving EquationsSubstitution

The problem is to solve the following system of linear equations for $x$ and $y$: $6x + 4y = 7000$ $...

Linear EquationsSystems of EquationsElimination MethodAlgebraic Manipulation

We are given the function $f(x) = x + x^2 + x^5$ and asked to determine whether it is even, odd, or ...

Function PropertiesEven and Odd FunctionsPolynomial Functions

The problem asks to determine if the function $f(x) = x^5 + x$ is an even function. The solution pro...

FunctionsEven FunctionsOdd FunctionsPolynomials

The problem asks us to rewrite the given equation $y = -7x - 1$ in standard form. The standard form ...

Linear EquationsStandard FormEquation Transformation

We are asked to rewrite the given linear equation $y = -9x + 1$ in the standard form $Ax + By = C$, ...

Linear EquationsEquation TransformationStandard Form

The problem asks to rewrite the equation $y = -2x + 1$ in standard form. The standard form of a line...

Linear EquationsEquation TransformationStandard Form

The problem asks us to rewrite the equation $y = x + 9$ in standard form, which is $Ax + By = C$, wh...

Linear EquationsEquation TransformationStandard Form

The problem asks to rewrite the given equation $y = -5x + 2$ in standard form, which is $Ax + By = C...

Linear EquationsEquation TransformationStandard Form

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