Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We need to solve the equation $4y - 2y = 16$ for the variable $y$.

Linear EquationsSolving Equations
2025/5/6

We are asked to evaluate the expression $\frac{3^{400} + 3^{401} + 3^{402}}{3^{400}}$.

ExponentsSimplificationAlgebraic Manipulation
2025/5/6

The problem asks us to graph the inequality $x \le 1$ on a number line. We need to choose the correc...

InequalitiesNumber LineGraphing
2025/5/5

We are asked to simplify the expressions $15n^{-10}p^{-5}$, $(\frac{2}{3})^{-2}$, $\frac{4t^2u^{-1}}...

ExponentsSimplificationAlgebraic Expressions
2025/5/5

We need to simplify the following expressions: a) $(\frac{5}{2})^{-1} \frac{5^{-1}}{2^{-1}}$ b) $(\f...

ExponentsSimplificationFractions
2025/5/5

The problem asks to simplify the expression $(\frac{5x}{2})^{-1}$.

ExponentsSimplificationAlgebraic Expressions
2025/5/5

The problem is to simplify expressions with negative exponents. There are 12 expressions in total th...

ExponentsSimplificationNegative ExponentsAlgebraic Expressions
2025/5/5

The problem asks to factor out the greatest common factor (GCF) from the polynomial $12z^2 - 48z$.

Polynomial FactorizationGreatest Common Factor
2025/5/5

The problem asks us to multiply $2.9m$ by $(m-6)$. This involves using the distributive property.

Algebraic ExpressionsDistributive PropertyPolynomials
2025/5/5

The problem asks us to simplify the expression $(k^{-3}m^{-8})^8$ and express the answer using expon...

ExponentsSimplificationAlgebraic ExpressionsPower of a Power Rule
2025/5/5