🧮 algebra

1. **State the problem:** Solve a quadratic equation of the form $$ax^2 + bx + c = 0$$ where $a \neq 0$. 2. **Formula used:** The quadratic formula to find the roots is

1. **Planteamiento del problema:** Resolver los sistemas de ecuaciones lineales y simplificar las expresiones algebraicas dadas. 2. **Sistema 1:**

1. **State the problem:** Josie wants to buy a guitar priced at 2240 with a 15% down payment. The remaining balance plus a finance charge is paid monthly over 2 years with monthly

1. **State the problem:** Jersey wants to buy a guitar with a 15% down payment and pay the remainder plus a finance charge in monthly installments over 2 years. The monthly payment

1. **State the problem:** Solve the rational equation $$1 + \frac{2}{x+1} = \frac{3x+7}{x^2 + 10x + 9}$$ for all values of $x$. 2. **Identify the denominators and restrictions:** T

1. **State the problem:** Simplify the expression $$\frac{x + 7}{x + 5} - \frac{7x}{x^2 - 3x - 40}$$ to a single simplified fraction. 2. **Factor the denominator:** The second deno

1. **State the problem:** Solve the rational equation $$-\frac{1}{x^2 + 8x} + \frac{9x}{x + 8} = \frac{8}{x + 8}$$ for all values of $x$. 2. **Identify the domain restrictions:** T

1. **Problem Statement:** Find the roots of the quadratic equation $x^2 - 5x + 6 = 0$. 2. **Formula Used:** The roots of a quadratic equation $ax^2 + bx + c = 0$ are given by the q

1. **بيان المسألة:** لدينا دالتان $f$ و $g$ معرفتان على $\mathbb{R}$ مع تمثيلهما البياني $C_f$ و $C_g$. المطلوب حل مسائل متعددة تتعلق بهما. 2. **جدول التغيّرات:**

1. **State the problem:** Calculate the product of the fractions $\frac{9}{2} \cdot \frac{5}{2} \cdot \frac{3}{2}$.\n\n2. **Formula and rules:** When multiplying fractions, multipl

1. **State the problem:** Simplify the expression $$2 \cdot \frac{7}{2} \cdot \frac{3}{2} + 2 \cdot \frac{3}{2} \cdot \frac{9}{2} + 2 \cdot \frac{7}{2} \cdot \frac{9}{2}$$. 2. **Re

1. The problem is to simplify the expression: $$2 \times \frac{3}{2} \times \frac{5}{2} + 2 \times \frac{3}{2} \times \frac{5}{2} + 2 \times \frac{5}{2} \times \frac{5}{2}$$ 2. We

1. The problem is to evaluate the expression $2^5$ and check if it equals 3.833. 2. The expression $2^5$ means 2 raised to the power of 5, which is calculated by multiplying 2 by i

1. **State the problem:** Find the number for which 90 is 25%. 2. **Formula:** To find the base when given a part and a percentage, use the formula:

1. **Compléter le tableau** : Le tableau demande de compléter le signe et l'opposé des nombres donnés.

1. **State the problem:** Find what percent 78 is of 70. 2. **Formula:** To find what percent a number $A$ is of another number $B$, use the formula:

1. **State the problem:** Find the (a) Greatest Common Factor (GCF) and (b) Least Common Multiple (LCM) of 16 and 72. 2. **Recall definitions:**

1. **Problem statement:** Primrose chooses a prime number $P$ between 2 and 98 inclusive.

1. **Compléter le tableau des opposés** : Le signe est l'opposé du nombre, donc on change le signe de chaque nombre.

1. **Problem statement:** Primrose chooses a prime number $P$ between 2 and 98 inclusive.

1. **State the problem:** Find the equation of the straight line passing through the points $(-2,8)$, $(0,0)$, and $(2,-8)$. 2. **Formula used:** The equation of a line can be foun