🧮 algebra

1. **Problem:** Subtract $\frac{2}{8}a$ from $\frac{5}{8}a$. Since both terms have the same denominator and variable, subtract the numerators:

1. **State the problem:** Evaluate the expression $$6 + 3\times(8 - 4)^2 \div 2$$. 2. **Apply the order of operations (PEMDAS/BODMAS):**

1. **State the problem:** Simplify the expression $$\frac{24a}{8a}$$. 2. **Recall the rule:** When simplifying fractions, you can divide both numerator and denominator by their com

1. **State the problem:** Simplify the expression $$40a - 16a$$. 2. **Formula and rules:** When subtracting like terms, subtract their coefficients and keep the variable the same.

### Problem 3: Add $\frac{2}{x + 1} + \frac{6}{x + 3}$ 1. **State the problem:** Add the two rational expressions $\frac{2}{x + 1}$ and $\frac{6}{x + 3}$.

1. **Problem:** Add the following rational expressions: $$\frac{3}{x+2}+\frac{5}{x-4}$$

1. **State the problem:** Simplify the expression $$\left(3y+3\right)^2$$. 2. **Recall the formula:** The square of a binomial is given by $$\left(a+b\right)^2 = a^2 + 2ab + b^2$$.

1. **Problem:** Carla earns ₱48,500 semi-monthly. Find her gross annual earnings. 2. **Formula:** Annual earnings = Semi-monthly pay \( \times \) Number of semi-monthly periods in

1. The problem is to switch the numerator and denominator of a fraction. 2. The formula for a fraction is $$\frac{a}{b}$$ where $a$ is the numerator and $b$ is the denominator.

1. **State the problem:** We are given the function $$f(x) = \frac{3x^2 + 8x}{x^2 - 9}$$ and we want to understand or simplify it. 2. **Recall the formula and rules:** The function

1. **State the problem:** Solve the equation $$3(x-4)+5=2x+12$$ for $x$. 2. **Apply the distributive property:** Multiply $3$ by each term inside the parentheses.

1. **State the problem:** Solve the equation $$-\frac{6}{2} \left(5 + \frac{x}{3}\right) = \frac{1}{3} \left(4 - \frac{4x}{2}\right) + \frac{3x}{2}$$ for $x$. 2. **Simplify the coe

1. **State the problem:** Solve the equation $$-\frac{6}{2}\left(5 + \frac{x}{3}\right) = \frac{1}{3}\left(4 - \frac{4x}{2}\right) + \frac{3x}{2}$$ for $x$. 2. **Rewrite the equati

1. **Stating the problem:** We need to evaluate the expression involving the number $32$ and $2$ raised to the power $5$.

1. **State the problem:** Solve the inequality $$1 + 8m > 0$$ for the variable $$m$$. 2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. When div

1. **State the problem:** Simplify the expression $$\left(\frac{64}{25}\right)^{\frac{1}{2}}$$. 2. **Recall the rule:** The exponent $$\frac{1}{2}$$ means taking the square root of

1. **State the problem:** Simplify the expression $$\left(\frac{16}{81}\right)^{\frac{3}{4}}$$. 2. **Recall the rule for fractional exponents:** $$a^{\frac{m}{n}} = \sqrt[n]{a^m} =

1. نبدأ بتحديد القانون المعطى: $$ت = \text{عدد} \times ث \times أ$$ حيث \(ت\) هو الناتج، و\(ث\) و\(أ\) متغيرات أو ثوابت. 2. لفهم القانون بيانيًا، نحتاج إلى تمثيل العلاقة بين المتغي

1. **Stating the problem:** Simplify the expression $7 \times 8x$. 2. **Formula and rules:** Multiplication is associative and commutative, so we can multiply numbers and variables

1. **State the problem:** Solve the expression or equation labeled as $3(a)$. Since the user only wrote "3(a)", we assume it refers to evaluating or simplifying the expression $3 \

1. **State the problem:** Simplify the expression $$E = \left(\frac{x^{-2}y^{3}z^{0}}{x^{4}y^{-1}z^{2}}\right)^{-2}$$. 2. **Recall the rules:**