Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are given that the sides of a right triangle are $x$, $x+1$, and $x+2$. We need to find the side ...

Pythagorean TheoremQuadratic EquationsAlgebraRight TrianglesProblem Solving

The problem states that a rectangle's length is 10 feet longer than its width. The area of the recta...

Word ProblemQuadratic EquationsAreaRectangleFactoring

The problem is to solve the following equation for $k$: $\frac{k}{3} + 4 - 5k = -2k$

Linear EquationsEquation SolvingFractionsAlgebraic Manipulation

We need to solve the following linear equation for $x$: $3x + 7 - 11x = 31$

Linear EquationsSolving EquationsAlgebraic Manipulation

The problem asks for the steps to solve the equation $\frac{5}{2}(3)^x - 1 = 9$. We need to identif...

Exponential EquationsLogarithmsSolving EquationsExponents

Question 4 asks for the first step in solving the equation $8 + log_3(2x + 5) = 40$ differently from...

LogarithmsExponential EquationsEquation SolvingNatural Logarithm

Question 2: We are given the equation $2^x = 64$ and asked to apply the inverse function of exponent...

ExponentsLogarithmsEquation SolvingLogarithmic PropertiesExponential Properties

The problem asks us to find the resulting equation when we apply the inverse function of the logarit...

LogarithmsExponential FunctionsInverse FunctionsEquation Solving

The problem states that the product of a number and its half is $72$. We need to find the number.

EquationsQuadratic EquationsSolving EquationsVariables

We are asked to factor the polynomial $x^4 + 7x^2y^2 + 10y^4$.

Polynomial FactorizationAlgebraic ManipulationSubstitution

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