🧮 algebra

1. Masalah: Diberikan nilai selisih dua variabel berakar, tentukan nilai ekspresi kuadrat tiga variabel menggunakan identitas aljabar. 2. Rumus yang digunakan: Identitas kuadrat ju

1. **State the problem:** Simplify the radical expression $\sqrt{96}$. 2. **Recall the formula and rules:** To simplify a square root, find the prime factorization of the number an

1. **State the problem:** Solve the equation $50 - (2x + 24) = 5x + (-9)$ for $x$. 2. **Rewrite the equation:** Remove parentheses by distributing the minus sign:

1. **State the problem:** Simplify the expression $$6\log_2 \frac{2}{3} + 2\log_2 \frac{1}{6} - 4\log_2 \frac{2}{9}$$. 2. **Recall the logarithm power rule:** $$a \log_b x = \log_b

1. **State the problem:** We have two quadratic equations modeling wellbeing of two groups: $$x^2 + px + q = 0$$

1. **Problem:** Mrs Gibson bought $x$ pencils and distributed them equally among 40 students. How many pencils did each student receive? 2. **Formula:** To find the number of penci

1. Masalah ini berkaitan dengan ketidaksamaan linear: $x < -31$. 2. Ketidaksamaan ini bermaksud nilai $x$ adalah kurang daripada $-31$.

1. **State the problem:** Solve the inequality $-x - \frac{3}{4} > 7$ for $x$. 2. **Write the inequality:**

1. The problem appears to be incomplete or unclear as it shows an expression with a negative sign and an empty fraction: $-x-\frac{ }{ }$. 2. To help you properly, please provide t

1. Masalah yang diberikan adalah menyelesaikan ketaksamaan linear $$\frac{x}{5} - 8 > 3$$. 2. Rumus yang digunakan adalah aturan dasar ketaksamaan: jika kita menambahkan atau mengu

1. Masalah: Permudahkan ungkapan matematik yang diberikan. 2. Langkah pertama adalah mengenal pasti ungkapan yang perlu dipermudahkan.

1. **State the problem:** Simplify the expression $$3m + \frac{2}{2n} - 4 + \frac{m}{2}$$. 2. **Rewrite the expression clearly:** $$3m + \frac{2}{2n} - 4 + \frac{m}{2} = 3m + \frac

1. **Énoncé du problème :** - Résoudre l'inéquation $x^4 \geq x^2$ (exercice rr).

1. **State the problem:** We are given the linear function $f(x) = -\frac{3}{5}x + 2$ and want to understand its properties. 2. **Formula and rules:** This is a linear function of

1. **State the problem:** We need to find the constant of proportionality for a taxi service that charges a constant rate per mile, given the total cost for different miles travele

1. **Stating the problem:** We need to determine the numerical values of $a$, $b$, and $c$ for the function $g(x)$ and find the coordinates of point $D$. 2. **General form and form

1. The problem is to solve the linear equation $$-2.5x - 4.8 = 7.7$$. 2. The goal is to isolate $x$ on one side of the equation.

1. **State the problem:** Solve the linear equation $-2.5x - 4.8 = 7.7$ for $x$. 2. **Isolate the variable term:** Add $4.8$ to both sides to move the constant term.

1. **State the problem:** We need to find the prime number $d$ such that the quadratic equation $$x^2 - 6x + d = 0$$ has two integer solutions. 2. **Recall the quadratic formula:**

1. **State the problem:** We need to find the prime number $d$ such that the quadratic equation $x^2 - 6x + d = 0$ has two integer solutions. 2. **Recall the quadratic formula:** T

1. The problem asks us to determine which points $(x,y)$ could be solutions to a given system of inequalities. 2. A system of inequalities consists of multiple inequalities that th