🧮 algebra

1. **State the problem:** Simplify the expression $k - 8k - 6k$. 2. **Recall the rule:** When combining like terms, add or subtract their coefficients.

1. **State the problem:** Solve the equation $2(2y - 10) = 20$ for $y$. 2. **Use the distributive property:** Multiply $2$ by each term inside the parentheses:

1. **State the problem:** Solve the equation $4(3x - 4) = 44$ for $x$. 2. **Use the distributive property:** Multiply 4 by each term inside the parentheses:

1. **State the problem:** Solve the linear equation $$\frac{c}{7} - 31 = -29$$ for the variable $c$. 2. **Understand the equation:** The equation involves a variable $c$ divided by

1. **State the problem:** Solve for $x$ in the equation given (please provide the equation if specific). 2. **General approach:** To solve for $x$, isolate $x$ on one side of the e

1. **Stating the problem:** We have a sequence of numbers under squares with increasing horizontal lines: 4 under 1 line, 16 under 2 lines, and a missing number under 3 lines. 2. *

1. **State the problem:** We have a 3x3 grid of numbers with the last cell missing: $$\begin{matrix} 2 & 4 & 12 \\ 7 & 14 & 42 \\ 12 & 24 & ? \end{matrix}$$

1. **Stating the problem:** We have a 3x3 grid of numbers with the last cell missing: $$\begin{matrix} 3 & 7 & 12 \\ 23 & 26 & 30 \\ 48 & 53 & ? \end{matrix}$$

1. **State the problem:** Leila is buying a dinosaur model priced at $x$ dollars, and she must pay an additional 7% tax. We want to find an expression representing the total amount

1. The problem asks us to find the tip amount Mia gives to the movers based on a 16% tip rate on a $500 service charge. 2. The formula to calculate a tip is:

1. **State the problem:** Andrea left a 25% tip of 2.00 on her tacos. We need to find the original price of the tacos before the tip. 2. **Formula and explanation:** The tip is cal

1. **State the problem:** The manager wants to find the selling price of a bookshelf bought at a wholesale price of 147 with a markup of 60%. 2. **Formula used:** The selling price

1. The problem is to simplify the expression $\frac{4}{-3}$.\n\n2. The expression is a fraction with numerator 4 and denominator -3.\n\n3. A key rule is that a negative sign in the

1. **Stating the problem:** We want to understand what a logarithm is and how to work with it. 2. **Definition:** A logarithm answers the question: "To what power must we raise a b

1. Let's start by understanding the problem: simplifying the denominator means rewriting the denominator of a fraction in a simpler or more standard form. 2. Common techniques incl

1. المشكلة: السؤال يتعلق بحساب تكلفة مجموعة من الأشخاص حيث يوجد 25 شخصًا أولًا ثم 14 شخصًا إضافيًا. 2. القاعدة المستخدمة: عادةً في مثل هذه المسائل، إذا كانت التكلفة تختلف بين الأشخ

1. المشكلة: لدينا مجموعة سياحية مكونة من $n$ أشخاص حيث $n \geq 25$. 2. يتم تقسيم المجموعة إلى مجموعتين فرعيتين: الأولى تحتوي على أول 25 شخصًا، والثانية تحتوي على $n-25$ شخصًا إضافي

1. نبدأ بمشكلة حساب المتوسط لمجموعة بيانات تحتوي على 10 قيم، 9 منها معروفة وقيمة واحدة مجهولة نرمز لها بـ $x$. 2. المتوسط يُحسب بقسمة مجموع القيم على عددها، أي هنا:

1. Problem: Calculate $4 \frac{2}{4} + 6 \frac{4}{8}$. Step 1: Convert mixed numbers to improper fractions.

1. **State the problem:** Simplify the expression $$\frac{1}{2 - \sqrt{3}}$$ by rationalising the denominator. 2. **Formula and rule:** To rationalise a denominator of the form $a

1. **State the problem:** We have the system of equations: $$4x - 6y = 10y + 2$$