🧮 algebra

1. **تمرين 1: إنشاء الأعداد على المستقيم العددية** - الأعداد المعطاة: $\frac{3}{4}, \frac{6}{7}, \frac{2}{6}, \frac{1}{6}$.

1. **Rendre le dénominateur un nombre entier** Pour chaque fraction avec un dénominateur décimal, multiplier numérateur et dénominateur par une puissance de 10 pour éliminer la vir

1. **State the problem:** Harriet bought $t$ meters of fabric. James bought 8 times as much fabric as Harriet, so James initially had $8t$ meters. 2. James returned 63 meters of fa

1. **State the problem:** We have $m$ kg of cheese.

1. **State the problem:** When 14 is subtracted from half of the number $k$, the result is at most 18. 2. **Translate the problem into an inequality:** Half of the number $k$ is $\

1. **State the problem:** We have three vegetable patches with areas:

1. Das Problem: Wir betrachten die Verkäufe eines Hauses und wollen verstehen, wie man diese mathematisch darstellen oder analysieren kann. 2. Zunächst definieren wir eine Variable

1. Das Problem ist, ein Beispiel mit den gegebenen Formeln zu berechnen. Da keine spezifischen Formeln oder Werte angegeben sind, werde ich ein allgemeines Beispiel mit einer typis

1. Problem a: Find how many times as high Mount Everest is compared to the tallest tree Hyperion. Given:

1. **Stating the problem:** We are given two relations: - $y = 30 - 2x$

1. The problem asks to find the values of $y$ in the relation $y = 2(x + 2)$ for given $x$ values and then draw the graph of this relation. 2. The relation is given by the function

1. The problem involves analyzing the relations and graphs of the functions given by: $$y = 5e^{-2x}$$

1. **Problem statement:** Find the sums of the given arithmetic series using the provided formulas and verify the answers. 2. **Part (a): Sum of 1 + 2 + 3 + ... + 999**

1. **State the problem:** Simplify and analyze the expression $x^2 - y^2 + 2y - 1$. 2. **Group terms involving $y$:** Rewrite the expression as $x^2 - (y^2 - 2y) - 1$.

1. Escreva sob a forma de potência: 1.a) Temos a expressão $\left(\frac{3}{5}\right)^{\frac{2}{3}} \times \left(\frac{2}{5}\right)^{\frac{2}{3}} \times \left(\frac{5}{25}\right)^{\

1. **Statement of the problem:** Solve the given one-step linear equations and verify the solutions where required. 2. **Question 1:** Solve and verify:

1. Problem: Factorise $w^2 - 5w$. Step 1: Identify the common factor in both terms, which is $w$.

1. نبدأ بكتابة المعادلة المعطاة: $$ هـ - \frac{1}{2} ( ج - 6 ) = 4 $$

1. **Simplify expression a:** Given: $5x^2 - 6x - 3x^2 + 7 - x^2 + 6x$

1. **Problem 1: Vertical and Horizontal Translations** We apply vertical shifts and horizontal translations to 5 functions from the list.

1. Stated problem: Evaluate the expression $$2\sqrt{3} (\sqrt{3} + x) - 4x(x^2 - 3\sqrt{3})$$ for $$x = -\sqrt{3}$$. 2. Substitute $$x = -\sqrt{3}$$ into the expression: