🧮 algebra

1. **State the problem:** Solve for $X$ in the equation $$-\sqrt{5} + X = \sqrt{5}.$$ 2. **Isolate $X$:** To find $X$, add $\sqrt{5}$ to both sides of the equation:

1. **Nêu bài toán:** Cho biểu thức $$Q = \left( \frac{\sqrt{a} + 1}{\sqrt{ab} + 1} + \frac{\sqrt{ab} + \sqrt{a}}{\sqrt{ab} - 1} - 1 \right) : \left( 1 + \frac{\sqrt{ab} + \sqrt{a}}

1. **State the problem:** Simplify the given expressions step-by-step. 2. **Expression 1: $5x$**

1. **Постановка задачі:** Виконуємо ділення многочленів: $$5x^4 - 3x^5 + 3x - 1$$ на $$3x^3 - 2x^2 + x - 1$$. 2. **Формула та правила:** Для ділення многочленів використовуємо поді

1. **Đề bài:** Giải phương trình $$4(x - 1) = -12$$ và biểu thức $$\left(3x + \frac{1}{3}\right)^2$$.\n\n2. **Công thức và quy tắc:**\n- Để giải phương trình bậc nhất, ta thực hiện

1. **State the problem:** Multiply the fractions $\frac{2}{3}$ and $\frac{3}{4}$. 2. **Formula:** To multiply two fractions $\frac{a}{b}$ and $\frac{c}{d}$, use the formula $$\frac

1. **State the problem:** We need to divide $\frac{1}{1}$ by $\frac{1}{4}$. 2. **Recall the division rule for fractions:** Dividing by a fraction is the same as multiplying by its

1. **State the problem:** Simplify the expression $$4x^2 - 6x + \frac{8}{2x} + 7$$. 2. **Rewrite the expression clearly:** The expression is $$4x^2 - 6x + \frac{8}{2x} + 7$$.

1. **Problem Statement:** Rajiv's number rounded to 2 decimal places is $8.27$. We need to find a possible value of Rajiv's number with 3 decimal places that rounds correctly to $8

1. **State the problem:** We need to calculate $$\dfrac{3}{4} \div 12$$. 2. **Recall the division of fractions rule:** Dividing by a number is the same as multiplying by its recipr

1. **State the problem:** We need to find the decimal equivalent of the fraction $$\dfrac{14}{40}$$. 2. **Formula and rules:** To convert a fraction to a decimal, divide the numera

1. **Simplify** $$\frac{21x^{2}y}{7xy^{2}}$$ - Factor numerator and denominator:

1. **State the problem:** Simplify the expression $$11 \times 4 / 8$$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right.

1. **State the problem:** Simplify the expression $2 \times 3 / 5$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right.

1. **State the problem:** Simplify the expression $$12 \times 2 / 11$$. 2. **Formula and rules:** Multiplication and division are performed from left to right.

1. **State the problem:** Simplify the expression $$9 \times 3 \div 9$$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right.

1. **State the problem:** Simplify the expression $$8 \times 4 \div 8$$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right.

1. **State the problem:** Simplify the expression $2 \times 3 / 10$. 2. **Write the expression:** The expression is $\frac{2 \times 3}{10}$.

1. State the problem: We need to create ten related math questions. 2. Explanation: Related questions typically share a common theme or concept, such as solving linear equations, w

1. **State the problem:** Barba is 30 years older than Joan. In 10 years, the ratio of their ages will be 5:2. We need to find their current ages.

1. **State the problem:** We need to find the square root of $169$ using the long division method, as indicated by the notation $9|169$.