Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem states that four numbers are in the ratio 11:19:5:7. The sum of these four numbers is 2...

Ratio and ProportionLinear EquationsProblem Solving

The sum of two numbers $p$ and $m$ is 12, and $p^3 + m^3 = 360$. We need to find the value of $pm$.

Algebraic EquationsPolynomialsFactoringProblem Solving

If the selling price of a bed is 2 times its initial cost price, and the profit will be 7 times the ...

Profit and LossPercentageWord Problem

The problem is to find the value of $(a+b)^2$ given that $a+b=33$ and $a-b=37$.

Algebraic ExpressionsSubstitutionExponents

The problem asks us to find the value of $k$ for the quadratic equation $kx^2 - 4x + 1 = 0$ such tha...

Quadratic EquationsDiscriminantRoots of Equations

Two numbers are in the ratio $7:11$. If the first number is increased by 10 and the second number is...

Ratio and ProportionLinear Equations

Four numbers are in the ratio 11:19:5:7. The sum of these four numbers is 2289. Find the sum of the ...

Ratio and ProportionLinear Equations

We are given the equation $\frac{kz}{a} - t$ and asked to make $k$ the subject. We need to isolate $...

Equation SolvingVariable IsolationLinear Equations

We need to solve the provided equations for $x$. The equations are: 21. $x^2 = B$ 22. $x^2 + A = B$ ...

EquationsSolving EquationsQuadratic EquationsSquare Roots

Solve for $x$ in the equation $\sqrt{(x-D)} = A^2$.

EquationsSquare RootsSolving for x

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