Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The image shows a balanced equation represented by a hanger. The left side has a value of 30, and th...

Equation SolvingLinear Equations
2025/3/6

The problem asks us to identify which of the given equations have $a=8$ as a solution. We need to ch...

Solving EquationsSubstitutionSingle Variable Equations
2025/3/6

The problem asks whether the region where $y > 3x + 4$ should be shaded above or below the line $y =...

Linear InequalitiesGraphingTest Point Method
2025/3/6

The problem asks whether the given graph represents a function. The options explain whether a vertic...

FunctionsVertical Line TestGraphs
2025/3/6

The problem asks us to convert the given linear equation $8x - y = 9$ into slope-intercept form, the...

Linear EquationsSlope-Intercept FormSlopeY-intercept
2025/3/6

The problem asks to graph the function $f(x) = \frac{1}{2}x + 6$. This is a linear function with a s...

Linear FunctionsGraphingSlope-Intercept Form
2025/3/6

We are given the equation $y = 3x - 7$ and an ordered pair $(-1, ?)$. We need to find the missing $y...

Linear EquationsCoordinate GeometrySubstitution
2025/3/6

The problem asks us to find the domain of the function $d(x) = 4 - \frac{1}{2}x$ for the range $\{0,...

FunctionsDomain and RangeLinear Equations
2025/3/6

The problem asks us to find the domain of the function $d(x) = 4 - \frac{1}{2}x$ for the range $(0, ...

Domain and RangeLinear FunctionsInequalities
2025/3/6

The problem asks us to find the slope and $y$-intercept of a given line on a graph. Then, we need to...

Linear EquationsSlope-Intercept FormCoordinate Geometry
2025/3/6