🧮 algebra

1. **State the problem:** Simplify the expression $4(m+5)-2(5m+1)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside.

1. **State the problem:** Simplify the expression $$\sqrt[3]{24} + \sqrt[3]{15} \times \sqrt[3]{25}$$. 2. **Recall the property of cube roots:** For any real numbers $a$ and $b$, $

1. **Problème : Résoudre l'équation du second degré** $$x^2 - 5x + 6 = 0$$ 2. **Formule utilisée :** Pour une équation quadratique $$ax^2 + bx + c = 0$$, les solutions sont données

1. Дано выражение: $((x^2)-3)^{-0.91}$. 2. Чтобы определить область определения функции с отрицательной степенью, нужно помнить, что основание степени не может быть равно нулю, так

1. **State the problem:** Simplify the expression $\frac{7^{34}}{7^{32}}$. 2. **Recall the exponent division rule:** When dividing powers with the same base, subtract the exponents

1. **State the problem:** We need to graph the linear function given by the equation $$y = -\frac{4}{3}x + 8$$. 2. **Formula and explanation:** This is a linear equation in slope-i

1. **State the problem:** Simplify the expression $(2b+3)-4(b-1)$. 2. **Apply the distributive property:** Multiply $-4$ by each term inside the parentheses:

1. **State the problem:** Simplify each expression using the laws of exponents. 2. **Recall the laws of exponents:**

1. **State the problem:** Given the equation $mx + y = 12$, where $m$ is a constant, and the point $(x, y) = (3, 6)$ lies on the line, find the value of $x$ when $y = 4$. 2. **Use

1. Problem: Find the area of a square with side length $5\sqrt{2}$ cm. 2. Formula: Area of a square = side length squared, i.e., $A = s^2$.

1. **State the problem:** Solve the system of equations: $$-x + 3y = 6$$

1. **Énoncé du problème :** Résoudre le système $(s_1)$ : $$\begin{cases} 2x + y = 5 \\ x - y = 1 \end{cases}$$

1. **Énoncé du problème :** Résoudre l'équation du second degré $x^2 - 5x + 6 = 0$ dans $\mathbb{R}$. 2. **Formule utilisée :** Pour une équation quadratique $ax^2 + bx + c = 0$, l

1. **Problem 1:** Solve the system by elimination: $$\begin{cases} 2x + y = 6 \\ 2x - y = 2 \end{cases}$$

1. **Stating the problem:** Solve the equation for $y$ given the linear equation $-x + 3y = 0$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation

1. **State the problem:** We want to solve the summation $$\sum_{i=0}^{39} (1 + 0.05)^i$$ where the base is $1 + r = 1.05$ and the upper limit is 39. 2. **Formula used:** This is a

1. The problem is to solve a basic math question, but since no specific question was provided, let's consider a simple example: Solve for $x$ in the equation $2x + 3 = 7$. 2. The f

1. **Problem Statement:** Melody wants to mix bags of M&M’s costing $4.89 each and Reese’s Pieces costing $3.79 each to make 25 bags total, with an average cost of $4.23 per bag. 2

1. The problem asks to rewrite the expression \(\sum_{i=0}^{39} H(1 + 0.05)^{40 - i}\) in summation form. 2. The given summation is already in summation form: it sums the terms \(H

1. The problem is to evaluate the expression $-17 - (-6)$. 2. Recall the rule: subtracting a negative number is the same as adding its positive counterpart. So, $a - (-b) = a + b$.

1. Masalah: Tentukan nilai $x$ dan $y$ dari sistem persamaan linear berikut: $$\begin{cases} 2x + 3y = 12 \\ 4x - y = 5 \end{cases}$$