🧮 algebra

1. **Énoncé du problème :** Nous avons la suite définie par :

1. **State the problem:** Simplify the expression $-5 \times 6 + 4 \div 2 - (-8) \div 2 \times 4 + 8$ using PEMDAS (Parentheses, Exponents, Multiplication and Division from left to

1. **State the problem:** We need to find three consecutive integers whose sum is 57. 2. **Define variables:** Let the first integer be $x$. Then the next two consecutive integers

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. We use the basic algebraic principle: to isolate $x$, perform inverse operations on both sides of the equation.

1. **State the problem:** Find the value of $x$ given the equation $5x = 8$. 2. **Formula and rules:** To solve for $x$, we use the rule of dividing both sides of the equation by t

1. Solve $x - 9 = 12$ for $x$. Start by isolating $x$ on one side.

1. The problem is to solve for $N$ given $N=550$. 2. Here, the equation is already solved for $N$; it states that $N$ equals 550.

1. **State the problem:** We need to solve for $n$ in an equation or expression, but the equation is not provided. 2. **Clarify the problem:** To solve for $n$, we need an equation

1. **State the problem:** Simplify the expression $1a + b$. 2. **Understand the terms:** Here, $1a$ means $1 \times a$, which is just $a$ because multiplying by 1 does not change t

1. The problem is to find the equation of the line passing through the points $A(2,3)$ and $B(4,7)$. 2. The formula for the slope $m$ of a line through two points $(x_1,y_1)$ and $

1. **State the problem:** Calculate $2^{100^{100}}$. 2. **Understand the expression:** The expression $2^{100^{100}}$ means 2 raised to the power of $100^{100}$.

1. El problema nos da la ecuación $E=\log_2(2x)$ y nos pide trabajar con ella. 2. Recordemos que la función logarítmica $\log_b(a)$ representa el exponente al que hay que elevar la

1. Let's start by understanding the problem: factoring by GCF means finding the Greatest Common Factor (GCF) of all terms in an expression and then factoring it out. 2. The formula

1. Let's consider a simple algebra problem: Solve for $x$ in the equation $2x + 3 = 7$. 2. The formula used here is to isolate $x$ by performing inverse operations. We want to get

1. **State the problem:** We have a balance scale with weights on both sides. On the left side, there is one 3 kg weight and two carton boxes (each unknown weight). On the right si

1. The problem is to understand and analyze the linear function $y=2x+7$. 2. This is a linear equation in slope-intercept form $y=mx+b$, where $m$ is the slope and $b$ is the y-int

1. Das Einsetzungsverfahren wird verwendet, um ein lineares Gleichungssystem zu lösen, indem man eine Variable aus einer Gleichung isoliert und in die andere einsetzt. 2. Gegeben s

1. **State the problem:** Find the square root of the expression $$x^2 + \frac{1}{x^2} + 2\left(x + \frac{1}{x}\right) + 3$$ by factorization. 2. **Rewrite the expression:** Group

1. **Stating the problem:** Solve the system of equations using elimination and substitution methods: $$3x + 2y = 12$$

1. Nyatakan masalah: Tukar nombor 16 kepada bentuk indeks dengan asas 2 menggunakan pendaraban berulang dan pembahagian berulang. 2. Formula dan peraturan penting: Jika $a^n = x$,

1. **State the problem:** Find the equation of the line passing through the point $(-4,3)$ and perpendicular to the line given by $$y = -\frac{5}{3}x - 1.$$\n\n2. **Recall the slop