🧮 algebra

1. **State the problem:** Solve the inequality $$5(x + 2) \geq 3x + 14$$. 2. **Apply the distributive property:** Multiply 5 by both terms inside the parentheses.

1. **State the problem:** We are given the following equations involving fruits: 🍎 = 7

1. **State the problem:** Simplify the expression $$\sqrt{x}(x^{2n+1}) \cdot \sqrt[3]{x^{3n}}$$ where $$x > 0$$. 2. **Recall the rules:**

1. **State the problem:** A store owner discounted birthday cards from $1 to $0.58. We need to find the discount as a percentage. 2. **Formula for discount percentage:**

1. **State the problem:** We need to find the discount percentage when the price of microscopes drops from 50 to 14. 2. **Formula:** The discount percentage is given by

1. El problema es multiplicar los binomios $ (x - 3z)(8x + 5z) $ y simplificar la expresión resultante. 2. Usamos la propiedad distributiva para multiplicar cada término del primer

1. **State the problem:** Graph the line $y=2x-5$ and find ordered pairs on it. 2. **Formula:** The line equation is $y=mx+b$ where $m$ is slope and $b$ is y-intercept.

1. El problema nos presenta la expresión algebraica $$4v + 2 + 7u$$ y nos pide identificar cuáles enunciados son verdaderos. 2. Primero, recordemos definiciones importantes:

1. **State the problem:** Solve the system of linear equations: $$7x + 5y = -13$$

1. **State the problem:** Given that $a - b = b - c = 2$, find the value of $$\frac{(a - b)^2 + (b - c)^2}{(a - c)^2}$$. 2. **Use the given information:** We know that

1. **Problem statement:** Given two functions defined by points: $f = \{(3,4), (4,5), (5,6), (6,7)\}$ and $g = \{(5,3), (6,4), (7,-2), (8,0)\}$, find:

1. The problem asks to describe the transformation applied to the graph of the function $f(x)$ when it is multiplied by 6, i.e., the function becomes $6 \cdot f(x)$. 2. The general

1. **State the problem:** We have a car purchased for 20700 dollars, and its value depreciates by 11% per year. We want to find the value of the car after 11 years.

1. **Problem:** Factor the cubic expression $x^3 + 8$ completely. 2. **Formula and rules:** This is a sum of cubes, which factors as:

1. Problem a: Find parametric equations for the solution set of $7x - 5y = 3$. 2. This is a linear equation in two variables. We can express one variable in terms of the other.

1. The problem asks us to plot the numbers $-2 \frac{1}{6}$ and $1 \frac{2}{3}$ on a number line ranging from $-3$ to $3$. 2. First, convert the mixed numbers to improper fractions

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. **State the problem:** Solve the equation $6x6 = 9x$ for $x$. 2. **Write the equation:**

1. Stating the problem: Simplify the expression $-7s(2r)(-4r^8s^2)$ and compare it to $56r^9s^3$. 2. Use the distributive property and multiplication rules for exponents: When mult

1. **State the problem:** We need to find two complementary angles where one angle is forty-four times the other. 2. **Recall the definition of complementary angles:** Two angles a

1. **State the problem:** Multiply the binomials $4w + 2$ and $7w - 6$ using the area model or distributive property. 2. **Recall the distributive property (FOIL method):**