🧮 algebra

1. Stating the problem: Solve the equation $$\frac{5}{7}x - 4 = 9$$ for $x$. 2. Add 4 to both sides to isolate the term with $x$:

1. The problem is to simplify the fraction $\frac{8}{21}$.\n\n2. To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and denominator.\n\n3. The numer

1. Planteamos el problema: Resolver la ecuación $$300 = 200 + \frac{x}{5}$$ para encontrar el valor de $x$. 2. Restamos 200 de ambos lados para aislar el término con $x$:

1. **State the problem:** Factor the quadratic expression $x^2 - 6x + 9$. 2. **Recall the factoring formula:** For a quadratic expression $ax^2 + bx + c$, we look for two numbers t

1. **State the problem:** Simplify the expression $d^2 - 10cd$. 2. **Identify common factors:** Both terms contain the variable $d$.

1. Diberikan fungsi $f(x) = -2ax^2 + 4x - 5a$ dan diketahui titik baliknya adalah $x = -3$. 2. Titik balik terjadi ketika turunan pertama fungsi sama dengan nol, yaitu $f'(x) = 0$.

1. The problem is to graph the compound inequality $x > -7$ and $x < 0$ on a number line. 2. This inequality means $x$ is greater than $-7$ but less than $0$.

1. The problem is to describe the solution set of the compound inequality $x \leq 1$ and $x \geq -8$. 2. This means $x$ must satisfy both conditions simultaneously.

1. **Find the inverse of** $f(x) = 7 - 3x$. Step 1: Replace $f(x)$ with $y$:

1. The problem is to graph the compound inequality $x \leq -5$ or $x \geq 6$ on a number line. 2. The inequality $x \leq -5$ means all values of $x$ that are less than or equal to

1. **State the problem:** Solve the inequality $$\frac{x - 3}{2x^2 - 10x + 12} > 0$$. 2. **Factor the denominator:**

1. The problem is to name the different parts of a fraction. 2. A fraction is a way to represent a part of a whole or a ratio between two numbers.

1. The problem is to simplify or solve the expression $12abc$. 2. Since $12abc$ is a product of constants and variables, it is already in its simplest form.

1. The problem is to solve the equation $a + 10d = 48$ for one variable in terms of the other. 2. To isolate $a$, subtract $10d$ from both sides:

1. The problem gives two equations: $$a + 5d = 23$$

1. The problem asks: What is the term used to describe $x$ in an expression? 2. In algebra, an expression is made up of terms, which can be constants, variables, or products of con

1. We are asked to simplify the expression \( \frac{2a^9 - 2ab}{a - b} \). 2. First, factor out the common factor in the numerator:

1. El problema nos dice que una máquina cosecha 3 acres en 1 1/3 horas. Primero, convertimos 1 1/3 horas a una fracción impropia para facilitar los cálculos: $$1 \frac{1}{3} = \fra

1. We are asked to simplify the expression \( \frac{3a^2 - 4ab}{a - b} \). 2. First, try to factor the numerator if possible. The numerator is \(3a^2 - 4ab\).

1. Let's start with a basic algebraic expression to simplify, for example, $3x + 5x - 2 + 4$. 2. First, combine like terms. Like terms are terms that have the same variable raised

1. Let's start by understanding what basic algebra is: it involves solving equations to find the value of unknown variables. 2. Consider a simple equation: $2x + 3 = 7$.