🧮 algebra

1. Stating the problem: Simplify the expression (a) $3x - \{5 - [8 - (5x - 4)]\}$. 2. Use the order of operations and simplify inside the brackets first.

1. **Simplify (a) 3x - {5 - [8 - (5x - 4)]}** Step 1: Start with the innermost parentheses: $(5x - 4)$.

1. Let's start with a simple algebra question for you to answer. 2. Solve for $x$ in the equation $$2x + 3 = 11$$.

1. **State the problem:** Solve the equation $3x - 7 = 9x + 8$ for $x$. 2. **Write down the equation:**

1. **State the problem:** Find the roots of the quadratic equation $x^2 + 2x + 5 = 0$. 2. **Formula used:** The roots of a quadratic equation $ax^2 + bx + c = 0$ are given by the q

1. **State the problem:** Simplify the expression $$(a^2 - b^2)(2b - 6a)$$. 2. **Recall the formula:** The expression $a^2 - b^2$ is a difference of squares, which factors as $$a^2

1. **State the problem:** Simplify the expression $$(a^2 - b^2) \times (2b - 6a)$$. 2. **Recall the formula:** The expression $a^2 - b^2$ is a difference of squares and can be fact

1. **Problem statement:** Solve the system of equations: $$3x - 2y = 11$$

1. **State the problem:** Simplify the expression $\frac{100-100}{10-10}$.\n\n2. **Apply the formula:** The expression is a fraction where the numerator is $100-100$ and the denomi

1. نبدأ بكتابة المعادلة المصفوفية المعطاة: $$\begin{bmatrix} 3x - 2y \\ 4x + 5y \end{bmatrix} = \begin{bmatrix} 11 \\ 7 \end{bmatrix}$$

1. The problem is to simplify the expression $100 - 100 \div 10 - 10$. 2. According to the order of operations (PEMDAS/BODMAS), division is performed before subtraction.

1. **State the problem:** Solve for $x$ in the equation $x - 0.3 = 35000$. 2. **Formula and rule:** To isolate $x$, add $0.3$ to both sides of the equation. This uses the addition

1. Diketahui perbandingan uang Adi dan Tuti adalah 3 : 5 dan jumlah uang mereka adalah 300000. 2. Misalkan uang Adi = 3x dan uang Tuti = 5x.

1. The problem is to find the total revenue by adding Revenue from Premium, Revenue from Family, and Total revenue. 2. The formula to find total revenue is:

1. Muammo: Arifmetik progressiyaning berilgan formulalarining to'g'riligi aniqlansin. 2. Arifmetik progressiya uchun asosiy formulalar:

1. The problem involves converting actual units sold into bar graph units using the scale 1 unit = 300 units sold. 2. For Product B, units sold = 3000. Using the scale, unit height

1. **State the problem:** We are given the quadratic function $$f(x) = 4 - (x - 3)^2$$ and asked to sketch its graph using the vertex and intercepts, find the equation of the axis

1. The problem asks for the value of the summation of $k^3$ where $k$ goes from 9 to 10. 2. The summation notation is written as $$\sum_{k=9}^{10} k^3$$ which means we add the cube

1. Muammo: Arifmetik progressiyaning berilgan formulalarining to'g'riligi yoki noto'g'riligi aniqlansin. 2. Formulalar va ularning tekshiruvi:

1. **بيان المشكلة:** لدينا متتالية $v_n$ معرفة بدلالة متتالية $u_n$، ونريد إثبات أن $v_n$ متتالية هندسية، ثم تعيين أساسها وحثها الأول. 2. **المعطيات:**

1. **State the problem:** We need to find the value of $f(-2 - g(3))$ given the functions $f(x) = \frac{3}{4}x + 10$ and $g(x) = x^2 - 3$. 2. **Calculate $g(3)$:** Substitute $x=3$