🧮 algebra

1. **State the problem:** Solve the equation $4x = 76$ for $x$. 2. **Formula and rule:** To solve for $x$, divide both sides of the equation by the coefficient of $x$, which is 4.

1. **State the problem:** Solve for $x$ in the equation $\frac{x}{3} = 16$. 2. **Formula used:** To isolate $x$, multiply both sides of the equation by 3 because $x$ is divided by

1. **State the problem:** Solve for $x$ in the equation $73 + x - 1 + x = 180$.

1. **State the problem:** Solve the inequality $$-1 - (-4x + \frac{5}{2}) - 3x \leq -\frac{1}{2}x$$. 2. **Distribute the negative sign inside the parentheses:**

1. The problem is to simplify the expression $-\frac{6}{5}$ or understand its value. 2. The expression $-\frac{6}{5}$ is a fraction with a negative sign in front, meaning the value

1. **State the problem:** Solve the inequality $$-3 > \frac{6}{5}(-2x - 1) - 1$$. 2. **Distribute the fraction:** Multiply $$\frac{6}{5}$$ by each term inside the parentheses:

1. **State the problem:** Solve the inequality $$-7x - \left(-5x + \frac{1}{4}\right) \leq -1$$. 2. **Apply the distributive property:** Remove the parentheses by distributing the

1. **State the problem:** Solve the inequality $$3 \leq 1 + 6 \left(-4x - \frac{5}{3}\right)$$. 2. **Distribute the 6:** Multiply 6 by each term inside the parentheses:

1. **State the problem:** Students are selling tickets at 11 each to raise money for a dance. They already have 450 from the PTO and need at least 1110 total to cover costs. We wan

1. **State the problem:** Solve the inequality $$5 + 9x < - \frac{1}{2}x - \left( \frac{3}{2}x + 1 \right)$$. 2. **Distribute the negative sign on the right side:**

1. **State the problem:** Jordan has 80 tickets. He wants to buy a bag of popcorn that costs 24 tickets and use the remaining tickets to play games. Each game requires 4 tickets. W

1. **State the problem:** Solve the system of equations by substitution: $$y = -7x + 10$$

1. **State the problem:** Solve the equation $5(x + 3) = 4(2x - 14) - 1$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Calculate $13543^4$. 2. **Formula used:** To find the power of a number, multiply the number by itself as many times as the exponent indicates. Here, $135

1. The problem is to calculate $1232938348^{100}$. 2. The formula for exponentiation is $a^n = a \times a \times \cdots \times a$ ($n$ times).

1. **State the problem:** You want to graph the linear equation $y = 8x + 86$ which represents the number of alabers $y$ after $x$ hours.

1. **State the problem:** Farmer Gespil starts with 86 alabers and gains 8 alabers every hour. We want to write an equation for the total alabers $y$ after $x$ hours, find how many

1. The problem asks to shade the area that is not true for the inequality $y > -x + 7$. 2. The boundary line is given by the equation $y = -x + 7$.

1. Énonçons le problème : Résoudre une équation ou un exercice de niveau seconde (sec 2) en mathématiques. 2. Comme vous n'avez pas précisé de problème exact, je vais vous explique

1. The problem states that $j(x) = k(m(x))$ and provides values for $m(x)$, $k(x)$, and $j(x)$ at certain points. 2. We are given the following values:

1. The problem is to graph the function $f(x) = x^2$ with the domain restriction $-2 < x < 1$. 2. The function $f(x) = x^2$ is a parabola opening upwards with vertex at the origin