🧮 algebra

1. **State the problem:** Solve the equation $$\frac{2}{3}x - 2 - \frac{x}{6} + \frac{x}{2} = \frac{x+2}{3}$$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to is

1. **State the problem:** Solve the equation $$\frac{2}{3}X - 2 - \frac{X}{6} + \frac{X}{2} = X + \frac{2}{3}$$ for $X$. 2. **Combine like terms on the left side:** The terms with

1. Problemet: Vi har en rektangulär gräsmatta med en sida som är 45 meter och en area på 2250 m^2. Vi ska hitta längden på staketet runt gräsmattan, alltså dess omkrets. 2. Formler

1. The problem asks us to evaluate the cube root of the expression $$64 \times 10^{12}$$. 2. The formula for the cube root of a product is $$\sqrt[3]{a \times b} = \sqrt[3]{a} \tim

1. **State the problem:** We are given the function $$f(x) = 2x + \frac{x}{x^{2} - 1}$$ and we want to understand its behavior or simplify it if possible. 2. **Recall the formula a

1. **State the problem:** Solve the system of equations using the substitution method: $$-x + 3y = -15$$

1. **State the problem:** We need to find the price of an adult's ticket and a child's ticket given two total fare amounts for different group sizes. 2. **Set variables:** Let $a$

1. **State the problem:** A farmer has two types of fertilizer packages: old and new. Old packages contain 60 pounds of long-term-growth supplement and 50 pounds of weed killer. Ne

1. **State the problem:** Evaluate the expression $$6 \times (3^3 - 3 \times 6) \div (7^2 - 40)$$ and verify if the answer is 48. 2. **Recall the order of operations:** Parentheses

1. **State the problem:** Simplify the expression $-(7^2 - 40)$. 2. **Recall the order of operations:** Calculate the exponent first, then the subtraction inside the parentheses, a

1. **State the problem:** Solve the inequality $$-\frac{1}{3} + v \leq \frac{3}{5}$$ for the variable $v$. 2. **Recall the additive property of inequality:** You can add the same n

1. **State the problem:** Solve the inequality $$-\frac{1}{3} + v \leq \frac{3}{5}$$ for the variable $v$. 2. **Recall the additive property of inequality:** You can add the same n

1. **Problem:** Two supplementary angles are in a ratio of 5:3. Find the measure of the larger angle. 2. **Formula and rules:** Supplementary angles add up to 180 degrees. If the a

1. **State the problem:** Solve the two-step equation $$4z + 1 = 41$$ for the variable $z$. 2. **Formula and rules:** To solve two-step equations, we first undo addition or subtrac

1. **Problema:** José tem um rolo de arame que, ao ser dividido em pedaços de 2 metros, resulta em 12 pedaços. Queremos determinar o comprimento total do rolo. 2. **Fórmula usada:*

1. **Problem:** Two supplementary angles are in a ratio of 5:3. Find the measure of the larger angle. 2. **Formula:** Supplementary angles add up to 180 degrees, so if the angles a

1. **State the problem:** Solve the two-step equation $$51 = 45 + \frac{z}{11}$$ for $z$. 2. **Isolate the variable term:** Subtract 45 from both sides to get the term with $z$ alo

1. **State the problem:** Simplify the expression $$5(0.1x - 0.2) + 10x$$. 2. **Recall the distributive property:** $$a(b + c) = ab + ac$$. This means we multiply each term inside

1. **State the problem:** Simplify the expression $$-0.3(-2d - 5f) + 4f - 0.3(-f + 7d)$$. 2. **Recall the distributive property:** $$a(b + c) = ab + ac$$. This means we multiply ea

1. **State the problem:** Simplify the expression $$-7(0.4t + 9t + 0.3) - 0.8t$$. 2. **Use the distributive property:** Multiply $$-7$$ by each term inside the parentheses.

1. **State the problem:** Solve the inequality $$-\frac{3}{8} < u - 2$$ for $$u$$. 2. **Recall the additive property of inequality:** You can add the same number to both sides of a