Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to simplify the expression $(r^2 - 7s^2) + (2r^2 + 3s^2)$.

PolynomialsSimplificationCombining Like Terms
2025/5/13

We need to simplify the expression: $(\frac{2x^{-2}y}{x^2y^{-3}})^{-2} : (\frac{xy^{-1}}{y})^3$

ExponentsSimplificationAlgebraic ExpressionsFractional Exponents
2025/5/13

Simplify the expression: $(\frac{2x^{-2}y}{x^2y^{-3}})^{-2} \div (\frac{xy^{-1}}{y})$

ExponentsSimplificationAlgebraic Expressions
2025/5/13

The problem is to choose the inequality that matches the graph shown on the number line. The number ...

InequalitiesNumber LineGraphing Inequalities
2025/5/13

The problem asks to graph the inequality $x > -20$ on a number line. We need to identify the correct...

InequalitiesNumber LineGraphing
2025/5/13

The problem asks us to graph the inequality $x \le -8$ on a number line. The number line is provided...

InequalitiesNumber LineGraphing
2025/5/13

The problem asks to construct the graph of the inequality $x > 0$ using the given pieces (an open ci...

InequalitiesNumber LineGraphing
2025/5/13

The problem asks us to find the values of the variables y, t, w, and m in the given proportions.

ProportionsSolving EquationsRatios
2025/5/12

The problem is to solve for $x$ in the equation $\frac{x}{4} = 14 - \frac{x}{3}$.

Linear EquationsEquation SolvingFractions
2025/5/12

The problem is to simplify the expression $\frac{18a^2b^3}{10a^3b^4} \times \frac{9a^3b^4}{3a^4b^8}$...

Algebraic SimplificationExponentsFractions
2025/5/12