🧮 algebra

1. **Problem statement:** Choose the correct statement among the options: Given options:

1. **Problem Statement:** We have a cell phone plan costing 30 per month including 5GB of data. For each GB over 5, there is an additional charge of 7.50 per GB. After calculating

1. Masala: Koordinatalar boshidan $2x - 5y - 5 = 0$ to'g'ri chiziqqacha bo'lgan masofani toping. 2. To'g'ri chiziqning umumiy ko'rinishi: $$Ax + By + C = 0$$

1. **State the problem:** Find how many positive factors of 72 are also multiples of 3. 2. **Prime factorization of 72:**

1. **Problem Statement:** Given the system of linear equations:

1. Diketahui matriks $B$ sebagai berikut: $$B = \begin{bmatrix}-1 & 1 & -1 \\ 1 & -1 & -1 \\ -1 & 1 & 1 \end{bmatrix}$$

1. Problem: Prepare 150 algebra formulae from basic to Olympiad level including identities, factorization, quadratic equations, binomial theorem, sequences and series, inequalities

1. Let's start with a simple math problem to teach you how to solve it step-by-step. 2. Suppose we want to solve the equation $2x + 3 = 7$ for $x$.

1. **State the problem:** Solve the equation $2+2=2x-4$ for $x$. 2. **Write down the equation:**

1. **State the problem:** We need to sketch the graph of the function $$y = x^2 + \frac{1}{x}$$. 2. **Formula and rules:** The function is a combination of a quadratic term $$x^2$$

1. The problem is to graph the function $y = x^2 + \frac{1}{x}$. 2. This function combines a quadratic term $x^2$ and a rational term $\frac{1}{x}$.

1. The problem is to verify if the equation $4\sqrt{x} + 4\sqrt{y} = 4(\sqrt{x} + \sqrt{y})$ is correct. 2. The distributive property states that $a(b + c) = ab + ac$.

1. The problem is to verify if the equation $4\sqrt{x} + 4\sqrt{y} = 4(\sqrt{x} \times \sqrt{y})$ is correct. 2. Recall the properties of square roots and multiplication: $\sqrt{a}

1. **Problem statement:** Solve the equation $$3x - 10 = 2 \cdot 2^2 - 9$$. 2. **Recall the order of operations:** Calculate exponents first, then multiplication/division, and fina

1. **Énoncé du problème :** Soit la fonction affine par intervalles définie par :

1. The problem is to simplify the expression $36\sqrt{36}$. 2. Recall that $\sqrt{36}$ means the square root of 36, which is the number that when multiplied by itself gives 36.

1. The question asks if an expression can be simplified, but no specific expression was provided. 2. To determine if an expression can be simplified, we need to see the original ex

1. **State the problem:** We are given three non-zero numbers $x$, $y$, and $z$ which are consecutive terms of a geometric progression (G.P.) and satisfy $x + y + z = 70$. Addition

1. **Problem Statement:** We have two factory outlets F₁ and F₂ selling sofas (S), chairs (C), and tables (T) with profits per item TZS 450000, 100000, and 350000 respectively. 2.

1. The user requests a national examination for Senior Six students covering content from Senior Four to Senior Six. 2. The exam should have two sections: Section A with 25 multipl

1. **State the problem:** We have two factories \(F_1\) and \(F_2\) selling sofas (S), chairs (C), and tables (T) with profits per item of 450000, 100000, and 350000 respectively.