🧮 algebra

1. Vamos simplificar a expressão a) $$\left( \frac{3}{5} \right)^{-2} - (-1)^{-3} - 2^{-2} - (0,4)^{-1}$$ 2. Lembre-se que $$a^{-n} = \frac{1}{a^n}$$ e que $$(-1)^{-3} = -1$$ porqu

1. The problem is to list and explain the 7 cases of linear equations. 2. A linear equation in one variable is generally of the form $ax + b = 0$, where $a$ and $b$ are constants a

1. **State the problem:** Simplify the expression $$2^{4}\sqrt[4]{405} - 3^{4}\sqrt[4]{80} - 3\sqrt{192}$$. 2. **Recall the rules:**

1. **State the problem:** Factor the polynomial $5x^3 + 10x^2 - 20x - 40$. 2. **Identify common factors:** Notice that each term is divisible by 5. Use the distributive property to

1. Express the following as a single fraction: 1.a. Given: $$\frac{p - 3}{5} + \frac{p + 4}{6}$$

1. Planteamos el problema: Factorizar la expresión $x^2 + 2x - 3$. 2. Usamos la fórmula para factorizar trinomios de la forma $ax^2 + bx + c$ buscando dos números que multiplicados

1. **State the problem:** We need to identify which graph best represents the height of Brittany's indoor palm plant over time. 2. **Analyze the problem:** The plant started a few

1. The problem asks which graph best represents the population growth of Brennan's city over time in the game Megalopolis Madness. 2. The population starts small, grows quickly, th

1. **State the problem:** We need to identify which graph correctly represents the water level in the dunk tank over the course of the day based on the description. 2. **Analyze th

1. Enunciado: Sejam $c$ e $d$ números reais superiores a 1 tais que $\ln c = 4 \ln d$. Determina o conjunto dos números reais que são soluções da inequação $d^k \lessgtr c^{1/k}$.

1. **State the problem:** We have 24 players on a baseball team. Seventh graders are \(\frac{1}{6}\) of the team. The number of seventh-grade players is about 3% of all seventh-gra

1. **State the problem:** Simplify and factor the quadratic expression $x^2 - 2x - 8$. 2. **Recall the factoring formula:** For a quadratic expression $ax^2 + bx + c$, we look for

1. **Problem:** What percent of 50 is 18? 2. **Formula:** To find what percent $p$ of a number $N$ is another number $x$, use the formula:

1. Let's start by understanding the problem: You want to know how to think about a formula involving $a_2 = 3$ without knowing the triangular formula. 2. The triangular formula usu

1. **State the problem:** We are given a sequence $a_1=1$, $a_2=2$, $a_3=6$, $a_4=10$, $a_5=15$, and we want to find a formula for the $n$-th term $a_n$. 2. **Analyze the sequence:

1. **State the problem:** We have 24 players on a baseball team. Seventh graders are \(\frac{1}{6}\) of the players. These seventh-grade players represent about 3% of all seventh-g

1. Problem 16: Given the function $g(x) = -f(x-3)$, solve the inequality $g(x) < 0$ and find the interval where this holds. 2. Since $g(x) = -f(x-3)$, the inequality $g(x) < 0$ is

1. Planteamos el problema: Resolver la ecuación fraccional $$\frac{3}{1 - x} = \frac{6}{2x + 5}$$. 2. Usamos la regla de igualdad de fracciones: si $$\frac{a}{b} = \frac{c}{d}$$ y

1. **State the problem:** Find the equation of the line passing through the points $(-2,6)$ and $(1,-3)$.\n\n2. **Formula used:** The slope $m$ of a line through points $(x_1,y_1)$

1. **State the problem:** Solve the inequality $$-x + 2 + 3x \geq \frac{1}{2}$$. 2. **Combine like terms:** Combine the terms with $x$ on the left side.

1. The problem is to calculate the simple interest $I$ using the formula: $$I = prt$$