🧮 algebra

1. **State the problem:** Solve the inequality $2(x - 1) < 6 - x$. 2. **Apply the distributive property:**

1. **Énoncé du problème :** Simplifiez l'expression $\frac{(8x^2 y^{-1})^2}{4x^{-3} y^5}$. 2. **Formule et règles importantes :**

1. The problem asks to draw lines with given gradients (slopes) on squared paper. 2. The gradient (or slope) of a line is the ratio of the vertical change (rise) to the horizontal

1. **State the problem:** We want to simplify and understand the expression $\left|1+\frac{1}{x}\right|$. 2. **Recall the absolute value definition:** The absolute value $|a|$ of a

1. **State the problem:** Solve the equation $1+\left|1+\frac{1}{x}\right|=4$ for $x$. 2. **Isolate the absolute value:** Subtract 1 from both sides:

1. **Problem statement:** Elisabeth's grandfather wants to rent a minibus to visit the zoo 70 km away. There are two offers: - Offer 1: 63 euros per day plus 0.50 euros per kilomet

1. **State the problem:** Solve the system of linear equations: $$\begin{cases} x + y + z = 6 \\ 2x - y + 3z = 9 \\ -x + 2y + 2z = 9 \end{cases}$$

1. **Problem statement:** Fill in the missing fractions or units in the given equations. 2. **Step (a):** Given $$\frac{19}{8} = 2 + \text{missing fraction}$$

1. The problem is to identify which inequality corresponds to the interval $(-\infty, -1)$ on a number line. 2. The interval $(-\infty, -1)$ means all numbers less than $-1$, but n

1. **Problem:** Find the x and y intercepts of the line passing through points (-4, -4) and (4, 4). 2. **Formula and rules:**

1. **State the problem:** We are given that pumpkins cost 5 each and tomatoes cost 3 each. The total sales amount to 98. We know 10 pumpkins were sold, and we need to find the numb

1. **State the problem:** We need to find the area of the region enclosed by the curve $y^2 = 4ax$ and the line $x = a$, where $a > 0$. 2. **Understand the curve:** The curve $y^2

1. **Stating the problem:** You want to understand how the expression $\frac{1}{0.7}$ becomes $\frac{1.4}{0.25}$ in the given steps. 2. **Recall the original equation:**

1. Planteamos el sistema de ecuaciones dado: $$\begin{cases} x + y = 2 \\ x - y = 6 \end{cases}$$

1. **State the problem:** Solve the equation $x + y = 2$ for $y$ in terms of $x$. 2. **Formula and rules:** To isolate $y$, subtract $x$ from both sides of the equation. This uses

1. **Problema:** Completar la tabla con términos y grado de los polinomios dados. 2. **Fórmulas y reglas:**

1. **State the problem:** We have a lilac paint mixture where 40% is white paint, 20% is blue paint, and the rest is red paint. Given 4 cups of blue paint, find: a. Cups of white p

1. **Problem 1: What percentage of the fundraising goal has been met?** The fundraising goal is $250000$.

1. **State the problem:** Priyaha has 5 pencils, each of length $x$ inches. When lined up end to end, their total length is 34.5 inches. 2. **Understand the situation:** The total

1. **State the problem:** Find the weight of Kiran's backpack given that it weighs 3 1/2 pounds less than Clare's backpack, which weighs 14 3/4 pounds.

1. The problem states: Mail's water bottle has 24 ounces initially. After she drinks $x$ ounces, the amount left is expressed. 2. We want to find expressions that correctly represe