Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given that $a$, $b$, and $c$ are three real numbers such that $4a - b + c = 112$. Also, $a$, ...
Linear EquationsProportionalitySystems of Equations
2025/5/1
Divide the number 2200 into three parts $a, b,$ and $c$ such that $a, b,$ and $c$ are directly propo...
ProportionalityLinear EquationsProblem Solving
2025/5/1
The image contains several math problems. Question 4 asks to find the value of $x$ that satisfies th...
LogarithmsBinomial TheoremPartial FractionsEquation Solving
2025/5/1
The problem has three questions. Question 1: Given the equation $3^{a-2} = 5$, find the value of $a$...
ExponentsRadical EquationsLinear EquationsWord ProblemsLogarithms
2025/5/1
We are given the following equations: $log_2 a = x$ $log_2 b = x+1$ $log_2 c = 2x+3$ We are asked to...
LogarithmsAlgebraic ManipulationExponentsEquation Solving
2025/5/1
We are asked to solve three math problems. Problem 16: Find the correct value of $m$ in the equation...
ExponentsLogarithmsBinomial TheoremEquations
2025/5/1
The first problem (number 14) states that $log_2 a = x$, $log_2 b = x+1$, and $log_2 c = 2x+3$. We n...
LogarithmsLinear EquationsSystems of EquationsExponentsBinomial Theorem
2025/5/1
We are given the first four terms of the binomial expansion of $(1 - \frac{1}{2}x)^8$ as $1 + ax + b...
Binomial TheoremQuadratic EquationsVieta's FormulasRadical Equations
2025/5/1
We are given a series of math problems. We need to solve problem number 15. The problem states: Thre...
Linear EquationsWord ProblemSystems of Equations
2025/5/1
A trader sells big, medium, and small yams. The prices are: GH$12.00 for each big yam, GH$20.00 for ...
Word ProblemsLinear EquationsSystems of Equations
2025/5/1