🧮 algebra

1. **State the problem:** Find the equation of the line passing through the point $(10,-2)$ that is parallel to a given line. 2. **Identify the slope of the given line:** To find t

1. **Problem Statement:** Find the value of $x$ that satisfies the equation $$\frac{2x+3}{5} = \frac{3x-1}{4}.$$

1. **State the problem:** Simplify the expression $$\frac{x^2-25}{x^2+5x} \div \frac{xy+6x-5y-30}{5x-15}$$. 2. **Rewrite division as multiplication by reciprocal:**

1. **State the problem:** Three girls initially pay $100$ each, totaling $$300$$, for a motel room. The correct charge is $$250$$, so the clerk gives $$50$$ to the attendant to ret

1. **State the problem:** Simplify the expression $$\frac{x^2-25}{x^2+5x} \div \frac{xy+6x-5y-30}{5x-15}$$. 2. **Recall the division of fractions rule:** Dividing by a fraction is

1. **State the problem** Solve the equation $16 - 2t = 5t + 9$.

1. **State the problem:** Solve the system of equations:

1. **State the problem:** Simplify the expression $$\frac{2x^2 - 8}{4x}$$. 2. **Formula and rules:** To simplify a rational expression, factor numerator and denominator and cancel

1. **State the problem:** Simplify the expression $$6 \div 2(1+2)$$. 2. **Apply the order of operations (PEMDAS/BODMAS):**

1. **Problem:** Simplify the fraction $\frac{18}{24}$. 2. **Formula and rules:** To simplify a fraction, divide the numerator and denominator by their greatest common divisor (GCD)

1. **Stating the problem:** Simplify the fraction $\frac{18}{24}$. 2. **Formula and rules:** To simplify a fraction, divide the numerator and denominator by their greatest common d

1. **Stating the problem:** We are given a sequence of equations: $$1 + 1 = 20$$

1. **State the problem:** Evaluate the expression $16 \div 2(2+2)$. 2. **Apply the order of operations (PEMDAS/BODMAS):** Parentheses first, then multiplication and division from l

1. **Stating the problem:** We are given a sequence of equations: $$14 + 5 = 41$$

1. **State the problem:** We are given a piecewise linear function $f(x)$ with points at approximately $(-6,4)$, $(-2,0)$, $(-1,-2)$, $(2,1)$, and $(3,0)$. We want to understand th

1. **Stating the problem:** We have three large triangles each split into three regions. The two upper inner regions have equal numbers, and the bottom inner region has a number re

1. The problem gives a sequence of letter-number pairs: A=12, B=26, C=42, D=60, and asks for E=? 2. We need to find the pattern or rule that relates the letters to their numbers.

1. نبدأ بطرح المسألة: حل المعادلة \(2x + 3 = 7\). 2. نستخدم قاعدة حل المعادلات الخطية: نريد عزل المتغير \(x\) على أحد الطرفين.

1. Let’s look at $x^2$. 2. It means $x \cdot x$.

Let's learn how to factor $x^2$! 1. Imagine you have 1 big square toy: <span style='font-size: 2em;'>🟩</span>

1. نبدأ بكتابة المسألة: $$6 \div 2(1+2)$$ 2. نطبق القاعدة الأولى وهي حساب ما بداخل الأقواس أولاً: