🧮 algebra

1. **State the problem:** Simplify the expression $2\sqrt{x}2$. 2. **Rewrite the expression:** The expression can be seen as $2 \times \sqrt{x} \times 2$.

1. **Stating the problem:** Simplify the expression $\sqrt{x}288$. 2. **Understanding the expression:** The expression can be interpreted as $\sqrt{x} \times 288$.

1. **State the problem:** We are given an arithmetic progression (AP) with the first three terms as $-2, -4, -6$. We need to find the 10th term of this AP. 2. **Recall the formula

1. **State the problem:** Solve for $n$ in the equation $0.15 = 0.3n$. 2. **Formula and rules:** To solve for $n$, we need to isolate $n$ by dividing both sides of the equation by

1. The problem involves understanding the behavior of two lines: a green solid line passing through points near (-5, 2) and (0, 1), and a red dashed line below it mimicking its sha

1. The problem is to factor out $\ln(x)$ from an expression where it appears as a common factor. 2. Factoring means rewriting an expression as a product of factors. If $\ln(x)$ app

1. **Problem A.i:** Form an equation for the total amount of money Mrs. James spent. Mrs. James spent $x$ in the first shop, twice that amount in the second shop ($2x$), $3$ in the

1. Let's start by understanding the problem: you want to factor an expression but got lost in the process. 2. Factoring means rewriting an expression as a product of simpler expres

1. **State the problem:** Simplify the expression $3x + 5x$. 2. **Recall the rule:** When adding like terms, add their coefficients and keep the variable the same.

1. **Translate the word phrase into an algebraic expression:** The phrase is "Three times a number m, added to four times a second number n, divided by double a third number p."

1. **State the problem:** Simplify the expression $$\frac{2x + 2y + 3(x - y) - 2(x + y + 3)}{3}$$. 2. **Expand the terms inside the numerator:**

1. The problem is to find the value of $x$ that satisfies the equation $\ln x + \log x = 5$. 2. Here, $\ln x$ is the natural logarithm (log base $e$) and $\log x$ is the common log

1. **Stating the problem:** Solve the system of linear equations: $$\begin{cases} 2x + y + z = 3 \\ x + y + z = 1 \\ x - 2y - 3z = 4 \end{cases}$$

1. Bài 1: Tìm số nguyên $x$ với các phương trình sau. **a)** $-\frac{3}{x} = \frac{9}{18}$

1. **State the problem:** We are given the equation $$-14 = 3(-3) - 5$$ and asked whether 3 is a divisor or dividend using the Division Algorithm. 2. **Recall the Division Algorith

1. Problem: Construct a multiplication table modulo 9. 2. The multiplication modulo 9 means we multiply two numbers and then take the remainder when divided by 9.

1. **Problem Statement:** We need to define the piecewise function $E(d)$ that represents the down payment based on the number of units enrolled by a student. The units are integer

1. **State the problem:** We need to solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Recall the formula and rules:** To solve a rational equation, multiply both sides by

1. **State the problem:** We need to solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Recall the formula and rules:** To solve a rational equation, multiply both sides by

1. **State the problem:** We need to solve the equation $$\frac{2x+4}{x-3} = 3$$ for $x$. 2. **Recall the formula and rules:** To solve rational equations, multiply both sides by t

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