🧮 algebra

1. **State the problem:** We need to determine which fraction is greater: $-\frac{55}{33}$ or $-\frac{24}{33}$. 2. **Understand the fractions:** Both fractions have the same denomi

1. **State the problem:** Find the prime factors of 27. 2. **Recall the definition:** Prime factors are the prime numbers that multiply together to give the original number.

1. **State the problem:** We want to find if there is any other three-digit number where the sum of its digits is 15, the tens digit is 3 more than the ones digit, and the hundreds

1. **State the problem:** We need to find a three-digit number where the sum of its digits is 15, the tens digit is 3 more than the ones digit, and the hundreds digit is 2 less tha

1. **State the problem:** We need to solve the equation:

1. The problem states: Both A and B are 8 times. We need to understand what "8 times" means in this context. 2. If it means A is 8 times some value and B is also 8 times some value

1. Bài toán yêu cầu giải phương trình bậc hai: $$x^2 - 5x + 6 = 0$$. 2. Công thức nghiệm của phương trình bậc hai $$ax^2 + bx + c = 0$$ là $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

1. **State the problem:** Simplify the expression $$\frac{x^{7} \cdot \left(y^{-6} \cdot z^{5}\right)^{2}}{x^{8} \cdot y^{-3} \cdot z^{4}}$$ and write the answer with positive expo

1. **Problem statement:** Find equivalent fractions and simplify fractions using the properties given: Property 1: $-\frac{a}{b} = \frac{-a}{b}$ for $b > 0$.

1. **Problem:** Express $3 - 12x - 2x^2$ in the form $ax^2 + bx + c$ and find the turning point of the curve $y = 3 - 12x - 2x^2$. 2. **Rewrite the quadratic:** The standard form o

1. **State the problem:** We need to simplify and solve the equation:

1. **State the problem:** Multiply and simplify the expression $$(5x - 3\sqrt{3})(5x + 3\sqrt{3})$$. 2. **Recall the formula:** This is a product of conjugates, which follows the d

1. **Problem:** Given the algebraic expression $$4x^2 - 3x + 2x^2 - 7x - 5$$ 2. **Step 1: Identify the terms (Suku-suku) in the expression.**

1. **State the problem:** Find the values of $a$ and $b$ for the cubic polynomial $f(x) = 3x^3 + ax^2 + x + b$ given that $x + 1$ is a factor of $f(x)$ and when $f(x)$ is divided b

1. Solve the system \(y = 3x - 5\) and \(5x + 4y = -3\). Substitute \(y\) from the first equation into the second:

1. **State the problem:** Determine the relationship between the lines given by the equations: $y = 3x - 5$

1. **State the problem:** Solve the first system of linear equations: $$y = 3x - 5$$

1. **State the problem:** Simplify the ratio $580\text{ ml} : 1.12\text{ L} : 104\text{ ml}$.\n\n2. **Convert all quantities to the same unit:** Since 1 L = 1000 ml, convert $1.12\

Let's learn about a matrix! 🧮 **Step 1:** Imagine a matrix like a box with numbers.

1. **Stating the problem:** We want to create 5 examples of algebraic problems and solve the first one completely. 2. **Example 1:** Solve for $x$ in the equation $$2x + 3 = 11$$.

1. **Stating the problem:** We need to find the maximum permissible expenditure for advertising within a marketing budget of 3,000, given that design fees cost 500.