Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to graph the exponential function $y = 0.5 \cdot 2^x$. We can achieve this by se...

Exponential FunctionsGraphingFunction Evaluation
2025/5/13

The problem asks us to graph the equation $y = -\frac{1}{2}x + 3$ by creating a table of values and ...

Linear EquationsGraphingCoordinate GeometryTable of Values
2025/5/13

The problem asks us to calculate the value of $\sin(x + \frac{\pi}{6})$ given that $\sin(x) = \frac{...

TrigonometrySine Addition FormulaUnit CircleTrigonometric Identities
2025/5/13

The problem asks to find the truth set of the following inequalities and illustrate the answer on a ...

InequalitiesLinear InequalitiesSolving InequalitiesNumber Line
2025/5/13

Solve the inequality $x + 1 \ge 3x$.

InequalitiesLinear InequalitiesSolving Inequalities
2025/5/13

The problem asks to find the truth set for each of the given inequalities and illustrate the answer ...

InequalitiesLinear InequalitiesNumber Line
2025/5/13

The problem asks us to find the truth set (solution set) of the following inequalities and illustrat...

InequalitiesLinear InequalitiesSolution SetsNumber Line
2025/5/13

The problem asks us to find the next three terms in each of the given sequences.

SequencesArithmetic SequencesGeometric SequencesNumber Patterns
2025/5/13

The problem asks us to find the first five terms of two sequences given their general terms. i) $a_n...

SequencesSeriesArithmetic SequenceGeometric Sequence
2025/5/13

The problem is to solve a system of two linear equations with two variables, $x$ and $y$. The equati...

Linear EquationsSystems of EquationsSubstitutionNo SolutionParallel Lines
2025/5/13