🧮 algebra

1. The problem is to evaluate the expression $4\frac{1}{3} - 5\frac{1}{5} + \frac{4}{s} \text{ of } \frac{2}{3}$.\n\n2. Convert mixed numbers to improper fractions:\n$4\frac{1}{3}

1. **State the problem:** Simplify the expression $\left(5\sqrt{8}\right)^{\frac{5}{2}} \times 16^{-\frac{3}{2}}$. 2. **Rewrite the terms:** Recall that $\sqrt{8} = 8^{\frac{1}{2}}

1. **State the problem:** Evaluate the expression $$(0.73 \times 0.02) + \frac{0.03}{18}$$ and round the result to 4 decimal places. 2. **Calculate the multiplication:**

1. The problem is to find the value of $x$ in the equation $$\frac{2x+3}{4} = 5.$$\n\n2. The formula used here is to solve for $x$ by isolating it on one side of the equation. We d

1. The problem is to find the value of $x$ in the equation $$\frac{2x+3}{4} = 5.$$\n\n2. The formula used here is to solve for $x$ by isolating it on one side of the equation. We d

1. The problem is to solve the equation $$9(q + 1) = 9$$. 2. First, divide both sides of the equation by 9 to isolate the term $(q + 1)$. The formula used is dividing both sides by

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