🧮 algebra

1. **State the problem:** We are given a system of linear equations:

1. **State the problem:** Find a polynomial equation with roots $-6$, $4$, $-1$, and $-2$ using multiplication and addition. 2. **Formula:** The polynomial with roots $r_1, r_2, r_

1. **State the problem:** We are given four numbers: $-6$, $4$, $-1$, and $-2$. We need to find an equation involving these numbers using multiplication and addition. 2. **Understa

1. **State the problem:** We need to find the value of $x$ such that $f(x) = 4$ for the function $f(x) = 2x + 2$. 2. **Write the equation:** Set the function equal to 4:

1. **State the problem:** A person says the word "view" every 3 seconds, and the video duration is 10 hours, 5 minutes, and 20 seconds. We need to find how many times the person sa

1. **Problem statement:** A person says the word "view" 8 times every 3 seconds. The video duration is 10 hours, 5 minutes, and 20 seconds. We need to find how many times the perso

Let's learn factoring with a fun example! 🎉 **Step 1:** Imagine you have $$12$$ candies 🍬 arranged in groups. We want to break $$12$$ into smaller groups multiplied together.

Let's learn how to factor $x^2 + x$ step by step! 🎉 1️⃣ Imagine you have these toys:

1. **State the problem:** Milan puts $\frac{1}{4}$ of her laundering money in savings and uses $\frac{2}{3}$ of the remaining money to pay back her sister. After these transactions

1. **State the problem:** We need to find the land area of Orange in square kilometres given its population density in people per square mile. 2. **Given data:**

1. The problem asks to find points on each of the given lines to capture them. 2. The lines are:

1. **State the problem:** We need to graph the piecewise function defined as: $$f(x) = \begin{cases} 2 & \text{if } 2 < x \leq 4 \\ x + 3 & \text{if } 4 < x < 8 \\ 2x & \text{if }

1. **State the problem:** Adam has a rectangular piece of cloth 6 feet wide and 7 feet long. He cuts out a square that is 3 feet wide. We need to find the area of the cloth left. 2

1. **Problem Statement:** Determine which lines pass through the point $(2,4)$ from the given lines:

1. **Stating the problem:** We are given the polynomial $$P(x) = 3x(x - 2)(x + 2)$$ and asked to analyze its graph shape. 2. **Formula and roots:** The polynomial is already factor

1. **State the problem:** We need to find the monthly revenue function $R(x)$ for a city where each resident pays a base fee plus a variable fee depending on water usage.

1. **Problem Statement:** We are given one line equation and points on a graph forming a quadrilateral. We need to find the equations of the other three lines connecting the points

1. **State the problem:** We are given the equation $$\frac{x}{5} + \frac{y}{2} = 1$$ and asked to analyze it. 2. **Rewrite the equation:** To better understand the line, multiply

1. **State the problem:** We need to find how many times greater the volume of the large dog crate is compared to the small dog crate. 2. **Recall the formula for volume of a recta

1. **State the problem:** Lenny paid 12.5% tax on the motorcycle, which added 1437.50 to the price. We need to find the original price before tax. 2. **Formula:** Tax amount = Tax

1. The problem asks for an expression representing 108 divided by the sum of 2 and 7. 2. The sum of 2 and 7 is calculated as $2 + 7$.