Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks to find the solution set for the given quadratic equations by factorization. a) $x^...

Quadratic EquationsFactorizationSolution Sets
2025/6/23

We need to solve four inequalities for $x$. a) $3(2x - 1) < 2x + 5$ b) $-2(-2x + 4) \le x + 7$ c) $-...

InequalitiesLinear InequalitiesSolving Inequalities
2025/6/23

The problem is to solve the following inequalities: a) $4x + 8 \le 2x - 12$ b) $3x - 2 \ge x - 14$ c...

InequalitiesLinear InequalitiesSolving Inequalities
2025/6/23

We are asked to solve two inequalities for $x$. a) $x + 4 < 6$ b) $x - 2 \le -5$

InequalitiesLinear InequalitiesSolving Inequalities
2025/6/23

The problem requires solving two inequalities: a) $3(2x-1) < 2x + 5$ c) $-4(x-3) > -3(x-5)$

InequalitiesLinear InequalitiesAlgebraic Manipulation
2025/6/23

The problem asks to find the solution set for the given quadratic equations by factorization. a) $x^...

Quadratic EquationsFactorizationSolution Sets
2025/6/23

We have two equations to solve for $x$: g) $\frac{1}{3}x - 9 = \frac{1}{5}x - 7$ h) $\frac{3}{4}x - ...

Linear EquationsSolving EquationsAlgebraic Manipulation
2025/6/23

We have two linear equations to solve for $x$. The first equation is $-0.4x - 3 = -0.2 + 8x$. The se...

Linear EquationsSolving Equations
2025/6/23

We are given two linear equations to solve for $x$. The equations are: c) $2(3x-4) = -5(2x-7)$ d) $-...

Linear EquationsSolving EquationsAlgebraic Manipulation
2025/6/23

We are asked to solve the linear equation $5x + 4 = -2x - 24$ for the variable $x$.

Linear EquationsSolving Equations
2025/6/23