🧮 algebra

1. المشكلة: حل المعادلة الجبرية أو التمرين المطلوب (يرجى تحديد التمرين بدقة في المرات القادمة). 2. القاعدة العامة: لحل المعادلات الجبرية، نستخدم قواعد الجمع والطرح والضرب والقسمة،

1. **State the problem:** Simplify the expression $$\frac{3x^3 - 50x + 8}{3x^2 + 12x + 2}$$. 2. **Factor the denominator:** The denominator is a quadratic expression:

1. **State the problem:** Two of AJ's puppies are white, and these white puppies represent half of the total number of AJ's puppies. We need to find the total number of puppies. 2.

1. Stating the problem: Simplify the expression $$\sqrt[3]{8} \times \sqrt[3]{16} \div \sqrt[3]{32}$$. 2. Use the property of cube roots: $$\sqrt[3]{a} \times \sqrt[3]{b} = \sqrt[3

1. Stating the problem: We want to find how many kilograms of 6% solution must be mixed with 3 kg of 9% solution to get a 7% solution. 2. Formula: Let $x$ be the kg of 6% solution.

1. **Problem:** Find the coefficient of $xy$ in the expression $3xy - 7xy - 2x^3$. 2. **Formula and rules:** The coefficient of a term is the numerical factor multiplying the varia

1. **State the problem:** Solve the equation $$\frac{2x+3}{x-1} = 4$$ for $x$. 2. **Formula and rules:** To solve a rational equation, multiply both sides by the denominator to eli

1. **State the problem:** Saimond earns a minimum wage of 570.63 per day in Metro Manila. He worked full shifts from Monday to Thursday and a half day on Friday. We need to calcula

1. **State the problem:** Solve the system of equations: $$\frac{1}{2}x + \frac{3}{5}y = 2$$

1. **Problem:** The mean of the numbers $m$, $8m+1$, $17$, and $20$ is $14$. Find (a) the value of $m$ and (b) the mode. 2. **Formula for mean:** The mean of $n$ numbers $x_1, x_2,

1. **Problem statement:** Evaluate the expression \n\na) \n$$\frac{2 \frac{2}{3} - \frac{5}{6}}{\frac{2}{3}}$$\n\n2. **Convert mixed number to improper fraction:** \n$$2 \frac{2}{3

1. Masalah: Tentukan akar-akar dari persamaan kuadrat $$2x^2 - 4x - 6 = 0$$. 2. Rumus yang digunakan adalah rumus kuadrat:

1. The problem asks to determine if the function represented by the table is linear or nonlinear. 2. A function is linear if it can be expressed in the form $$y = mx + b$$ where $m

1. The problem asks to determine if the function represented by the table is linear or nonlinear. 2. A function is linear if it can be expressed as $y = mx + b$, where $m$ and $b$

1. The problem is to determine if the function given by the points (6,20), (11,10), and (16,0) is linear or nonlinear. 2. A function is linear if the rate of change (slope) between

1. The problem is to determine if the function given by the table is linear or nonlinear. 2. A function is linear if the rate of change (slope) between any two points is constant.

1. The problem asks to determine if the function represented by the table is linear or nonlinear. 2. A function is linear if it can be expressed as $y = mx + b$, where $m$ and $b$

1. **State the problem:** We are given a table of values for a function and need to determine if the function is linear or nonlinear. 2. **Recall the definition:** A function is li

1. **Énoncé du problème :** Mettre sous le radical et simplifier l'expression suivante (avec $a,b,c$ positifs) :

1. Énoncé du problème : Simplifier et effectuer les calculs avec des racines carrées et cubiques. 2. Rappel des règles importantes :

1. **Problem:** Given the operation $m * n = \frac{m - n}{n}$, and that $3 * 9 = \frac{3}{2}$, find the value of $9$. 2. **Step 1: Write down the given operation and substitution.*