🧮 algebra

1. **Problem Statement:** Show that the square of an even number is even. 2. **Definition:** An even number can be written as $2k$ where $k$ is an integer.

1. Diberikan persamaan $x^{2/3} + x^{1/3}$. Kita ingin menyederhanakannya. 2. Gunakan substitusi $y = x^{1/3}$, maka $x^{2/3} = (x^{1/3})^2 = y^2$. Jadi, persamaan menjadi $y^2 + y

1. The problem is to convert the decimal number 1.5 into a fraction. 2. To convert a decimal to a fraction, write the decimal number as the numerator and use a power of 10 as the d

1. **State the problem:** Calculate the value of $$B = 5^3 - 10^2 \times (3^4 - 2^4 \times 5)^{13}$$. 2. **Recall the order of operations:** We must evaluate exponents first, then

1. The problem involves solving the equation $$\frac{9\pi}{3^\circ c} = \frac{3^\circ c + y}{41^\circ c + y} = 2^\circ c$$. 2. First, clarify the equation and variables. It appears

1. Išspręskite lygtį a) $\frac{4x^2 - 9}{x} = 0$. 2. Pirmiausia nustatome, kada trupmena lygi nuliui: skaitiklis turi būti lygus nuliui, o vardiklis negali būti nulis.

1. **Stating the problem:** Simplify the expression $$- x^{\frac{2}{3}} + x^{\frac{1}{3}}$$ and identify which of the given options it equals. 2. **Recall the properties of exponen

1. **بيان المشكلة:** نريد تحديد أي من الاقترانات المعطاة هي دوال شاملة (onto) وأيها دوال واحد لواحد (one-to-one). 2. **تعريفات مهمة:**

1. **Problem:** If $a$ and $b$ are positive even integers, which of the following is greatest? Options: (a) $(-2a)^b$ (b) $(-2a)^{2b}$ (c) $(2a)^b$ (d) $2a^{2b}$

1. **State the problem:** Simplify the expression $$a (a^2 - a^2) + a (a^2 + a^2) + a (-a^2 - a^2)$$. 2. **Recall the distributive property:** For any terms $x$, $y$, and $z$, $x(y

1. The problem is to understand the order of operations in mathematics. 2. The order of operations is a set of rules that tells us the sequence in which to perform operations in a

1. The problem is to solve a system of linear equations with two variables (SPLDV). 2. The general form of SPLDV is:

1. Solve the equation $\frac{x}{3} + \frac{1}{4} = \frac{x}{2}$. 2. Start by stating the problem: We want to find the value of $x$ that satisfies the equation.

1. Let's consider a simple elementary level problem: Solve for $x$ in the equation $2x + 3 = 7$. 2. The formula we use here is to isolate $x$ by performing inverse operations.

1. **Make x the subject of the formula** **a)** Given: $$3p = 9r - \frac{3x^2}{q^2}$$

1. The user asks about solving numerical problems, so let's clarify the approach. 2. Numerical problems typically involve finding the value of unknowns by applying algebraic or ari

1. **بيان المشكلة:** نريد تحديد أي من الاقترانات المعطاة هي دالة شاملة (onto) وأيها دالة واحد لواحد (one-to-one). 2. **تعريفات مهمة:**

1. **State the problem:** We have 240 Year 11 students. 15% want to go to college, \frac{3}{4} want to stay at school, and the rest do not know. We need to find the number of stude

1. Solve $x^2-7x+12=0$ by factorization. - The problem is to find $x$ such that $x^2-7x+12=0$.

1. Solve $x^2-7x+12=0$ by factorization. - The problem is to find $x$ such that $x^2-7x+12=0$.

1. **Problem statement:** Find $f(3)$ given $f(x) = 5x + 2$.