🧮 algebra

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: $2x + 3 = 7$.

1. Stating the problem: Solve the quadratic equation $$2x\sqrt{x} - 13x \sqrt{x} + 10 = 0$$. 2. Simplify the equation: Notice that the terms $2x\sqrt{x}$ and $-13x\sqrt{x}$ can be

1. Statement of the problem: Factor $x^2$. 2. Recognize that $x^2$ is a monomial and can be written as the product $x\cdot x$.

1. The problem is to solve the equation $$x^2 - 5x + 6 = 0$$. 2. Start by factoring the quadratic expression. We look for two numbers that multiply to 6 and add to -5. These number

1. The problem is to solve the quadratic equation $$3y^2 - 5y + 2 = 0$$. 2. Identify the coefficients: $$a = 3$$, $$b = -5$$, and $$c = 2$$.

1. **State the problem:** Solve the equation $$\frac{x}{3} \times y \times \frac{6}{2} = \frac{13}{6} \times 6$$ for the variables involved. 2. **Simplify both sides:**

1. The problem is to solve the equation $$\frac{x}{3} + \frac{6y}{x} = \frac{13}{6}$$ for one variable in terms of the other or to simplify it. 2. Start by eliminating the denomina

1. Problem statement: The formula is $v = J(l^2 - \frac{R h}{5})$. 2. Expand by distributing $J$ across the parentheses.

1. **State the problem:** Expand and simplify the expression $$(6n - 5)^2$$. 2. **Recall the formula:** The square of a binomial $$(a - b)^2$$ is given by $$a^2 - 2ab + b^2$$.