🧮 algebra

1. **State the problem:** Mr. Babar sold an item for 6954 at a loss of 8.5%. We need to find the selling price of the item if he had sold it at a 20% profit instead.

**Exercice 1 : Calculs et décodage** 1. Effectuer chaque calcul du tableau :

1.1.1 Identify variables: Situation 1 (Linear):

1. **State the problem:** We are given the prices per kilo of different fruits and vegetables and asked various questions involving addition and subtraction of decimals. 2. **List

1. The problem is to simplify the expression $5x^5y \times 7x^3y^2$. 2. First, rewrite the expression by separating the coefficients, $x$ terms, and $y$ terms:

1. The problem gives the expression: $A_4 = a_2 - b + c_{10}$. 2. This expression consists of three terms: $a_2$, $b$, and $c_{10}$.

1. **State the problem:** Simplify or rearrange the expression $y - 6x + 2xy - 3$. 2. **Group like terms:** There are terms with $y$, terms with $x$, and constants. The terms are $

1. Stating the problem: Simplify and solve the equation $$\frac{x^2 - 3x + 6}{2x} - \frac{2x}{x^2 - 3x + 6} = 2.$$\n\n2. Find a common denominator which is $$2x(x^2 - 3x + 6)$$ to

1. Stating the problem: We are given three ratios involving four variables a, b, c, and d. - $a : b = 4 : 5$

1. **State the problem:** Analyze the given polynomial, quadratic, and linear functions within their specified domains, understand their behavior, and interpret key features based

1. **State the problem:** We need to find how many days 16 men and 20 boys will take to finish the same job given the work rates of men and boys. 2. **Define variables:** Let the w

1. لنبدأ بتحديد المشكلة: لدينا التعبير الجبري $ (5 - 4s)s^2 $ ونريد إيجاد قيمته. 2. نستخدم خاصية التوزيع لضرب $ s^2 $ في كل حد داخل القوس:

1. Problem: Find remainder when $P(x)=x^4 - 3x^2 - 1$ is divided by $D(x)=x+2$. Since $D(x)=x+2$, use the Remainder Theorem: remainder is $P(-2)$. Calculate $P(-2)=(-2)^4 - 3(-2)^2

1. Regular Day Overtime Given: Lito earns P923.08 for 8 hours and worked 2 extra hours.

1. **Stating the problem:** We will solve equations by isolating the variable using division. 2. **Example 1:** Solve $3x=12$ for $x$.

1. **State the problem:** Calculate $3 \frac{3}{10} - 1 \frac{4}{5}$. 2. **Convert mixed numbers to improper fractions:**

1. **Stating the problem:** Solve the equation $x + 5 = 12$ using addition or subtraction. 2. To isolate $x$, subtract 5 from both sides:

1. State the problem: Solve the equation $$\frac{1}{x(x+2)} - \frac{1}{(x+1)^2} = \frac{1}{12}$$ for $x$.\n\n2. Find a common denominator on the left side. The denominators are $x(

1. The problem is to understand how to multiply integers. 2. When multiplying two integers, the sign of the product depends on the signs of the factors.

1. Problem: Simplify $$\frac{(5x - 6y)^5}{(10x - 12y)^{-3}}$$. 2. Note that $$10x - 12y = 2(5x - 6y)$$.

1. The problem is to solve the cryptarithmic equation $8\dots4\dots6 = 6\dots7\dots4$, where the dots represent missing digits to find. 2. We need to find digits that fit in the bl