🧮 algebra

1. نبدأ بتحليل العبارة المعطاة: $2x - 10 - (x - 5)^2$. 2. نستخدم قاعدة توزيع السالب على المربع:

1. **Problem:** Solve the equation $x - 5 = 2x - 8$. 2. **Formula and rules:** To solve a first-degree equation, isolate the variable $x$ on one side by adding or subtracting terms

1. **State the problem:** Find the equation of a straight line with gradient $m=\frac{2}{3}$ passing through the point $(3,2)$ and express it in the form $y=mx+c$ and then in the f

1. **State the problem:** Solve the system of equations using the elimination method: $$3x + 2y = 18$$

1. **State the problem:** Simplify the expression $$(3x+4)(3x+4)(7x-1)$$. 2. **Rewrite the expression:** Notice that $$(3x+4)(3x+4) = (3x+4)^2$$, so the expression becomes $$(3x+4)

1. **State the problem:** Solve the system of linear equations using the elimination method: $$3x + 2y = 8$$

1. **State the problem:** Solve the system of linear equations using the elimination method: $$3x + 2y = 8$$

1. **Énoncé du problème :** Calculer le volume d'un prisme rectangulaire dont les dimensions sont données par les expressions $(3x + 4)$, $(3x + 4)$, et $(7x - 1)$. 2. **Formule ut

1. The problem is to solve a system of linear equations using the elimination method. 2. The elimination method involves adding or subtracting the equations to eliminate one variab

1. **State the problem:** Simplify the expression $$(3x+4) \times (3x + 4p) \times (7x - 1)$$. 2. **Multiply the first two binomials:** Use the distributive property (FOIL) for $$(

1. **State the problem:** Solve the system of equations: $$3x + 2y = 18$$

1. **Problem:** Solve the equation $-\frac{3}{4}x = 3$ for $x$. 2. **Formula and rules:** To solve for $x$, divide both sides of the equation by the coefficient of $x$, which is $-

1. Stating the problem: Simplify the expression $\frac{3}{4} + \frac{1}{2} - \frac{1}{8}$.\n\n2. Find a common denominator for the fractions. The denominators are 4, 2, and 8. The

1. The problem is to determine which inequality is correct or relevant among the given options: $x > 24 \frac{1}{5}$, $x < 14 \frac{1}{5}$, $x < 24 \frac{1}{5}$, and $x > 14 \frac{

1. **State the problem:** Harry needs more than $6 \frac{2}{5}$ cups of flour. He currently has $1 \frac{2}{3}$ cups and borrows flour in scoops of $\frac{1}{3}$ cup each from Dan.

1. The problem is to simplify the expression \(7 \frac{5}{12}\).\n2. This is a mixed number, which means it consists of a whole number and a fraction.\n3. To work with it more easi

1. **Problem Statement:** Given the cost function $C(x) = 24x + 21900$ and revenue function $R(x) = 200x - 0.2x^2$ for ski jackets, we need to:

1. The problem is to identify the polynomial function that matches the described graph behavior: left end falling steeply downward, right end rising steeply upward, and a wavy osci

1. **State the problem:** We are given the volume of water in a tank as a function of time: $$y = 1.15x^3 - 0.1x^2 + 2$$ where $x$ is the number of minutes after the faucet is turn

1. The problem is to determine the value of B in a given context, but since no specific equation or context is provided, we need more information to solve for B. 2. Typically, to f

1. **State the problem:** We need to find the distance between two points A and B on a number line, where A is at $-2$ and B is at $5$. 2. **Methods to find the distance:**