Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem presents a balanced hanger with a weight of 27 on one side and three weights labeled $v$...

Equation SolvingLinear EquationsVariable Assignment
2025/3/6

We are asked to find the value of $x$ that satisfies the equation $7 + 5(x - 3) = 22$.

Linear EquationsSolving Equations
2025/3/6

The problem presents a tape diagram which represents an equation. The tape diagram shows a total len...

Equation SolvingTape DiagramAdditionSubtraction
2025/3/6

Ethan rollerbladed a total of 623 km over $d$ days. He rollerbladed the same distance each day. We n...

VariablesDivisionWord ProblemExpression
2025/3/6

The problem asks us to find the x-intercept and y-intercept of the equation $-4x - 3y = 6$, and then...

Linear EquationsX-interceptY-interceptGraphing
2025/3/6

The problem asks to simplify the equation $-2x - 5y = 5$, find the x-intercept and y-intercept, and ...

Linear EquationsX-interceptY-interceptGraphing
2025/3/6

The problem asks to simplify the inequality $-10x \le -25$.

InequalitiesLinear InequalitiesSolving Inequalities
2025/3/6

The problem is to graph the linear equation $4x + 7y = -7$.

Linear EquationsGraphingSlope-Intercept FormX-interceptY-intercept
2025/3/6

A shopkeeper sells pens and pencils. Each pen costs $5 and each pencil costs $3. One day he sold $x$...

Linear InequalitiesWord ProblemsProblem Solving
2025/3/6

The problem asks us to graph the function $g(x) = (x+4)^2$.

Quadratic FunctionsGraphingParabolaVertex Form
2025/3/6