Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to analyze the given exponential function $y = 5 \cdot (\frac{1}{2})^x$ and grap...

Exponential FunctionsGraphingFunction Analysis

The problem is to analyze the exponential function $y = 3 \cdot 2^x$. A graph is provided for refere...

Exponential FunctionsFunction AnalysisGraphs

The problem asks to graph the function $f(x) = 3 \cdot (\frac{1}{2})^x$.

Exponential FunctionsGraphingFunction AnalysisExponential Decay

The problem provides the exponential function $f(x) = 2 \cdot 3^x$. We are given a graph and are exp...

Exponential FunctionsGraphingFunction AnalysisAsymptotes

We are asked to plot the function $f(x) = 4 \cdot (\frac{1}{2})^x$ on the provided graph.

Exponential FunctionsGraphing

The problem shows the function $f(x) = 5 \cdot 2^x$ and an empty coordinate plane. The goal is to pl...

Exponential FunctionsFunction EvaluationGraphing

We are given the function $f(x) = 3 \cdot 2^x$.

Exponential FunctionsFunction Definition

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

Systems of EquationsQuadratic EquationsSubstitutionSolving Equations

We need to evaluate the sum $\sum_{i=4}^{20} (2i - 5)$.

SummationSeriesArithmetic Series

The problem is to solve the inequality $6 \le 3n$ for $n$. We are also given a potential solution $n...

InequalitiesSolving InequalitiesLinear InequalitiesVariable IsolationSolution Verification

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