🧮 algebra

1. Énonçons le problème : Résoudre l'équation $2x + 3 = 11$. 2. Utilisons la formule de base pour isoler $x$ : $ax + b = c \Rightarrow x = \frac{c - b}{a}$.

1. **State the problem:** Solve Question 4 (the exact problem statement is not provided, so we assume it is a typical algebraic or arithmetic problem). 2. **Identify the formula or

1. **State the problem:** We need to find the equation of a straight line given its y-intercept and gradient. 2. **Recall the formula:** The equation of a straight line in slope-in

1. **State the problem:** We have a road divided into three parts: A, B, and C. - Length of A is $\frac{5}{8}$ of B.

1. **Stating the problem:** Expand $e^{-12x}$ in ascending powers of $x$ as far as the term in $x^4$.

1. The problem asks to write an expression involving $p(x)$ and the number $-5$. 2. Since the instruction is to write an expression with $p(x)$ and $-5$, a simple expression could

1. The problem is to find the nearest group, but since this is ambiguous in a math context, let's interpret it as finding the nearest integer group or cluster to a given number or

1. **State the problem:** We need to find a group of numbers from the list \(3264, 3368, 3544, 3960, 4320, 5152, 6936, 7248, 13552\) whose total sum is \(19460\). 2. **Approach:**

1. **State the problem:** We need to express the polynomial $p(x)=6x^3-35x^2+34x+45$ in the form $p(x)=(2x-5)q(x)+r$, where $q(x)$ is a polynomial and $r$ is a constant. 2. **Formu

1. **State the problem:** The principal has a sum of money to buy 50 computers. There are two types of computers, P and Q.

1. **Problem statement:** A car stopped at town C for 1 hour 40 minutes. A lorry continued its journey at 45 km/h. After the stop, the car left town C for town A and arrived at the

1. **State the problem:** A class of students wants to buy a birthday present. If each pays 8.5, they are short 12. If each pays 10, they have 30 extra. We need to find:

1. **State the problem:** There are 18 students in a class, 15 of whom are girls. Mr Cheung buys 2 boxes of candies with the same number of candies inside. One box is distributed e

1. **State the problem:** Bill buys 6 apples and 5 oranges for 39. The price of an apple is $\frac{5}{7}$ of that of an orange.

1. **State the problem:** Two vehicles start at the same time from towns A and B, which are 160 km apart, traveling towards each other. The lorry travels at 45 km/h from A to B, an

1. Factorise each expression: (i) Factorise $1 + 2x + x^2$.

1. نبدأ بكتابة النظام المعطى: $$2س + 3ص = -11$$

1. **State the problem:** We are given two numbers $A$ and $B$ such that their sum is 28, i.e., $$A + B = 28$$

1. **State the problem:** Tom has 80 more game cards than Ken originally. After Tom gives 100 cards to Ken, Tom's cards become 0.6 times Ken's cards. We need to find the total numb

1. **State the problem:** Macy, Daisy, and Leo share the cost of a gift. Macy's share is $320 less than 6 times Daisy's share. Leo's share is $184 more than 4 times Daisy's share.

1. **State the problem:** We have 33 students divided into two groups A and B. 2. **Given condition:** 5 times the number of students in group A equals 6 times the number in group