🧮 algebra

1. **State the problem:** Solve the linear equation $2x + 5 = 17$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate $x$ on one side of the equation by performing inverse

1. **State the problem:** Find the value of the expression $$x^3 - 8y^3 - 36xy - 216$$ when $$x = 2y + 6$$. 2. **Substitute the expression for $$x$$:** Replace $$x$$ with $$2y + 6$

1. **State the problem:** Factor the expression $$9a^2 + b^2 + 4c^2 - 6ab + 12ac - 4bc$$. 2. **Recognize the form:** This is a quadratic expression in three variables $a$, $b$, and

1. **State the problem:** We need to find the values of $x$ that satisfy both inequalities $$3x \geq 1$$ and $$6x^2 \leq 5x - 1$$ at the same time. 2. **Solve the first inequality:

1. **State the problem:** We have two scales with pumpkins and watermelons. The first scale shows 3 pumpkins and 2 watermelons weighing 27.5 pounds. The second scale shows 4 pumpki

Hey there! Let's learn how to factor $x^2$ step by step! 🎉 1️⃣ Imagine you have $x^2$ like a big square made of $x$ by $x$.

1. The problem is to graph the function $y = x^2$. 2. This is a quadratic function, which forms a parabola opening upwards.

1. **State the problem:** A farmer has $4000$ meters of fencing to enclose a rectangular plot next to a river. The side along the river is not fenced. We want to find the dimension

1. **State the problem:** Diana has 1600 yards of fencing to enclose a rectangular area. We want to find: (a) The area $A$ as a function of the width $W$.

1. **State the problem:** We are given the demand equation $x = -6p + 300$ where $p$ is the price and $x$ is the quantity sold. We need to find the revenue function $R(p)$, where r

1. The problem asks to express the interval $[5,9)$ using inequality notation with variable $x$. 2. The interval $[5,9)$ means $x$ is greater than or equal to $5$ and less than $9$

1. **State the problem:** We want to find the sum of the fractions $\frac{1}{2}$ and $\frac{1}{3}$. 2. **Formula and rules:** To add fractions, they must have a common denominator.

1. **State the problem:** We are given an arithmetic sequence: $$144, 145, Q, 147, 148, 149, 150, 151, 152$$ and need to find the value of $$Q$$. 2. **Recall the definition of an a

1. **State the problem:** Simplify the expression $$(2^2 y^2)^2$$. 2. **Recall the exponent rules:** When raising a power to another power, multiply the exponents: $$(a^m)^n = a^{m

1. **Stating the problem:** We need to solve the system of linear equations (SPLDV) given by:\n$$\begin{cases} x + 2y = -1 \\ 3x - y = 11 \end{cases}$$\n\n2. **Method:** We will us

1. Mari kita selesaikan soal pertama: Sistem Persamaan Linear Dua Variabel (SPLDV) dengan persamaan: $$x + 2y = -1$$

1. **State the problem:** Find the sum of the arithmetic sequence $-2, 2, ..., 4n - 2$. 2. **Identify the first term and common difference:**

1. **State the problem:** Find the sum of the arithmetic sequence $-2, 2, ..., 4n - 2$. 2. **Identify the first term and common difference:**

1. **Menyatakan masalah:** Diketahui harga 3 tangkai bunga lili dan mawar adalah 86000.

1. **State the problem:** We are given three equations and asked to find the value of $x$ when $y=0$ (i.e., find the x-intercept) for each. ---

1. The problem is to understand how to solve linear equations and find intercepts step by step. 2. The standard form of a linear equation is $$Ax + By = C$$.