🧮 algebra

1. **State the problem:** Simplify the expression $7 + 2 + 5y + 3y$. 2. **Identify like terms:** Combine constant terms and terms with $y$ separately.

1. **State the problem:** Simplify the algebraic expression $5m + m + 6$. 2. **Identify like terms:** Like terms are terms that contain the same variable raised to the same power.

1. The problem asks to fill the box with a symbol to form: a) an equation

1. **State the problem:** Simplify the algebraic expression $$4 + 6x - 5x + 4x$$. 2. **Identify like terms:** Like terms are terms that have the same variable raised to the same po

1. **State the problem:** Simplify the expression $$3 + 4 - 1 + 3x - 2x + 4x$$. 2. **Combine like terms:** Group the constant terms and the terms with $x$ separately.

1. **Énoncé du problème** : Soit la matrice $A = \begin{pmatrix} 2 & 1 & 0 \\ 1 & 2 & 0 \\ 1 & 1 & 1 \end{pmatrix}$. Nous devons :

1. **Nêu bài toán:** Anh An bắt đầu với lương tháng đầu là 6 triệu đồng. 2. **Phân tích điều kiện tăng lương:** Sau mỗi 6 tháng, lương tăng 8% so với mức lương trước đó.

1. The problem is to evaluate the expression $n^5$ for a given value of $n$. 2. The formula used is the power rule: $$n^5 = n \times n \times n \times n \times n$$ which means mult

1. **Stating the problem:** Simplify the function $$f(x) = \frac{2x^{2} + 3x - 1}{x + 2}$$ and analyze its behavior. 2. **Formula and rules:** For rational functions, simplify by f

1. **State the problem:** We are given the function $$f(x) = (x+1)^4 (x-2)^5$$ and asked to find its inverse function $$f^{-1}(x)$$. 2. **Understand the problem:** Finding the inve

1. The problem is incomplete as the function definition for $f(x)$ is missing. 2. To proceed, please provide the full expression for $f(x)$ so I can help with evaluation, simplific

1. The problem asks: What is a perfect square? 2. A perfect square is a number that can be expressed as the square of an integer.

1. The problem is to find the root of 67. 2. Usually, "root" refers to the square root, which means finding a number $x$ such that $$x^2 = 67$$.

1. The problem asks to identify which functions represent exponential growth and which have horizontal asymptotes based on the graph descriptions. 2. Exponential growth functions i

1. **State the problem:** Evaluate the expression $\left(12 + \frac{3}{5}\right) \times 0.45$. 2. **Write the expression clearly:**

1. **State the problem:** We are given two numbers whose product is 36 and their ratio is 1:4. We need to find the smaller number. 2. **Set variables:** Let the smaller number be $

1. **Problema:** Aplica las propiedades de las potencias y expresa el resultado como potencia para la expresión $$\left(\frac{1}{6}\right)^3)^5$$. 2. **Fórmula y reglas:** Cuando t

1. **State the problem:** Find $n$ such that $$(\sqrt{m})^7 = p \sqrt{m}, \text{ where } p = m^n.$$ 2. **Rewrite the expressions using exponent rules:** Recall that $\sqrt{m} = m^{

1. **State the problem:** It takes 8 men 10 days to build a wall. We want to find how many men are needed to build the same wall in 2 days. 2. **Formula and concept:** The amount o

1. **State the problem:** We are given two numbers whose product is 36 and their ratio is 1:4. We need to find the smaller number. 2. **Set variables:** Let the smaller number be $

1. **State the problem:** Aling Rosa spent 91.80 pesos on ingredients and fuel to cook ginataan. She sold the ginataan to 32 customers, each paying 4.50 pesos. We need to find how