🧮 algebra

1. **Problem:** Find the equation of the line parallel to the given line and passing through the given point. 2. **Formula:** The equation of a line parallel to another has the sam

1. **State the problem:** We need to find the values of the piecewise function $$f(x) = \begin{cases} x + 1 & \text{if } x \leq -1 \\ x^2 & \text{if } x > -1 \end{cases}$$ at $x =

1. The problem is to express the algebraic expression $3x^2$ as a verbal phrase. 2. The expression $3x^2$ consists of a coefficient 3, a variable $x$, and an exponent 2.

1. The problem is to write a verbal phrase for the expression $2 - x$. 2. The expression $2 - x$ means "2 minus x" or "2 decreased by x".

1. The problem is to write the verbal phrase for the algebraic expression $2x + 3y$. 2. The expression consists of two terms: $2x$ and $3y$.

1. Vamos a explicar cómo resolver un problema paso a paso para que sea más fácil de entender. 2. Primero, identifica el problema que quieres resolver. Por ejemplo, si tienes una ec

1. The problem is to understand the expression $2x + 3y$. 2. This is a linear algebraic expression involving two variables $x$ and $y$.

1. The problem is to express the algebraic expression $2x + 1$ as a verbal phrase. 2. The expression $2x + 1$ consists of two terms: $2x$ and $1$.

1. The problem is to verify or solve the equation $7 \times 2 \times 3.20 \times 2.20 = 78.35$. 2. We use the multiplication operation rule: multiply all numbers step-by-step.

1. **State the problem:** We want to analyze and understand the polynomial function $$f(x) = x^7 + 2x^6 - x^5 + 2x^3 - 9$$ and its graph. 2. **Formula and rules:** This is a polyno

1. **State the problem:** Evaluate the expression $3^4 + 4^2$. 2. **Recall the rules:**

1. **State the problem:** We need to identify which graph corresponds to the function rule $$y = \frac{2x}{3} - 2$$. 2. **Recall the formula:** The function is a linear equation in

1. **State the problem:** We need to identify the graph of the function rule $$y = 3 - 2x$$ from the given options. 2. **Recall the formula and key features:** The function is a li

1. **Problem Statement:** Find the equation of the straight line passing through each given pair of points. 2. **Formula:** The equation of a line through points $(x_1, y_1)$ and $

1. **Problem Statement:** We need to identify which graph corresponds to the function rule $$y = \frac{x}{3} + 2$$. 2. **Understanding the function:** The function is a linear equa

1. **State the problem:** We need to identify which graph corresponds to the function rule $$y = \frac{x}{3} + 2$$. 2. **Recall the formula:** The function is a linear equation in

1. The problem asks to find the truth set of the letter $x$ in each case. The truth set of $x$ is the set of all values of $x$ that satisfy a given condition or equation. 2. To fin

1. **State the problem:** Solve the equation $x \frac{1}{2} = 0$ for $x$. 2. **Rewrite the equation:** The expression $x \frac{1}{2}$ means $x \times \frac{1}{2}$, so the equation

1. **Problem:** Find the set of values of $a$, where $a \neq 0$, for which the equation $ax^2 + 3x + 2 = 0$ has two distinct roots. 2. **Problem:** Given the graph of $y = ax^2 + b

1. **State the problem:** We are given the equation $Y^2 = 2y - x$ and need to analyze or solve it. 2. **Rewrite the equation:** The equation is $Y^2 = 2y - x$. To understand it be

1. **Problem Statement:** We need to identify which graph corresponds to the function rule $$y = 2x + 4$$. 2. **Formula and Explanation:** The function is a linear equation in slop