🧮 algebra

1. **Problem Statement:** Find the value of a rational expression, which is a fraction where both numerator and denominator are polynomials or numbers. 2. **Formula and Rules:** A

1. **Problem Statement:** We will review algebraic fractions, including simplification, finding common denominators, addition, subtraction, multiplication, and division. 2. **Simpl

1. **Stating the problem:** We want to review all the important knowledge about fractions. 2. **Definition:** A fraction represents a part of a whole and is written as $\frac{a}{b}

1. **State the problem:** Simplify the expression $$\frac{4+5-(3\times 3)+10}{5}+2$$. 2. **Recall the order of operations:** Perform multiplication first, then addition and subtrac

1. **Stating the problem:** We need to understand and perform calculations involving polynomials and monomials. 2. **Definitions:**

1. The problem is to understand the concept of a geometric sequence. 2. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the pr

1. **State the problem:** Jack mixes two sugar solutions, Brand A with 25% sugar and Brand B with 50% sugar, to get a mixture with 40% sugar. We need to find the mass ratio of solu

1. Diketahui fungsi $f(x) = 6x - 3$ dan $g(x) = 5x + 4$. Kita diminta mencari nilai $a$ sehingga $(f \circ g)(a) = 81$. 2. Definisi komposisi fungsi adalah $(f \circ g)(a) = f(g(a)

1. The problem is to simplify the expression $y^3 + \frac{1}{x^3 y^3}$. 2. We start by recognizing the terms: the first term is $y^3$ and the second term is $\frac{1}{x^3 y^3}$.

1. **State the problem:** Simplify the expression $$\frac{1}{10x^3} + \frac{1}{5}$$ where the fractions are added. 2. **Formula and rules:** To add fractions, they must have a comm

1. Tentukan himpunan penyelesaian dari pertidaksamaan $ (x + 2) < 2(2x + 4) $ dan gambarkan grafiknya. 2. Pertidaksamaan ini berarti kita harus mencari nilai $x$ yang membuat $x +

1. **Énoncé du problème :** Nous avons la fonction $g$ définie sur $\mathbb{R}$ par

1. المشكلة: حل الباقي يعني إيجاد باقي قسمة عدد على عدد آخر. 2. القاعدة: عند قسمة عدد صحيح $a$ على عدد صحيح $b$ (حيث $b \neq 0$)، الباقي $r$ هو العدد الذي يحقق:

1. **State the problem:** We have 50 stereo systems in total.

1. **Énoncé du problème :** Nous considérons la fonction $k$ définie sur $\mathbb{R}$ par $$k(x) = x^3 - 6x^2 + 3x + 4.$$

1. **State the problem:** Calculate the total cost when buying a computer at its regular price and a printer with a 40% discount.

1. **State the problem:** Solve the equation $$\frac{1}{2}(x+18) = 4(2x-6) - 9x$$. 2. **Distribute and simplify both sides:**

1. **Énoncé du problème :** On doit écrire sous forme de puissance les expressions suivantes, déterminer une valeur de $n$ pour que $123.4567 \times 10^n$ soit un entier naturel, c

1. The problem asks which expression correctly labels the like terms in the algebraic expression $-14m - 3n + 5 + 4n - 22 + 3n + 6m^2$. 2. Like terms are terms that have the same v

1. Let's start by stating the problem: We want to understand what a polynomial function is and how to work with it. 2. A polynomial function is a function of the form $$f(x) = a_n

1. **Énoncé du problème :** On doit écrire sous forme de puissance les expressions suivantes :