🧮 algebra

1. **Problem a:** A $2500 Samsung 4K LED television is discounted by 30%. Determine the sale price. 2. **Formula:** Sale Price = Original Price - (Discount Rate \times Original Pri

1. The problem involves subtracting values from an expression involving $X_N$ and constants. 2. We start with the expression $180 - X - 130$.

1. Soal cerita SPLDV (Sistem Persamaan Linear Dua Variabel) menentukan yang kehilangan. 2. Misalkan kita punya dua variabel, misalnya $x$ dan $y$, yang mewakili dua hal yang ingin

1. The problem is to understand how to work with percents and proportional fractions. 2. Percent means "per hundred," so $x\%$ means $\frac{x}{100}$.

1. **Problem:** Determine the formula for the $n$-th term of the arithmetic sequence 3, 7, 11, 15, ... 2. **Formula:** The $n$-th term of an arithmetic sequence is given by:

1. **Problem 1: Write the equation of line (AB) given points A and B.** The formula for the slope $m$ of the line through points $A(x_1,y_1)$ and $B(x_2,y_2)$ is:

1. The problem asks to identify the rational numbers from the list: $-5$, $\sqrt{x64}$, $2.1$, $\sqrt{11}$, $\frac{2}{5}$, $2\pi$. 2. Recall that a rational number is any number th

1. **State the problem:** Arrange the numbers $0.19 \times 10^4$, $0.019 \times 10^3$, $1.9 \times 10^2$, and $10.9 \times 10^3$ from smallest to largest. 2. **Recall the rule:** T

1. **State the problem:** We are given the numbers $0.19 \times 10^4$, $0.019 \times 10^3$, $1.9 \times 10^2$, and $10.9 \times 10^3$. We want to express each number in standard de

1. **State the problem:** Solve the equation $$\frac{5}{24 - 3x} = -6x$$. 2. **Formula and rules:** To solve for $x$, multiply both sides by the denominator to clear the fraction,

1. **State the problem:** Arrange the numbers $0.19 \times 10^0$, $0.019 \times 10^1$, $1.9 \times 10^2$, and $10.9 \times 10^3$ in order from smallest to largest. 2. **Convert eac

1. **Problem statement:** Evaluate the expressions: a) $5^{-3}$

1. The problem is to evaluate the expression $5^{-3}$. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$ where $a \neq 0$ and $n$ is a positive integer.

1. The problem is to evaluate the expression correctly. Since no specific expression was given, let's consider a general approach to evaluating algebraic expressions. 2. The formul

1. **Énoncé du problème :** Calculer une fraction d’un nombre consiste à multiplier cette fraction par le nombre donné. 2. **Formule utilisée :** Pour calculer $\frac{a}{b}$ de $c$

1. Data je jednačina $3x - 7 = 11$. 2. Cilj je da nađemo vrednost promenljive $x$.

1. **State the problem:** We are given the rational expression $$\frac{2x - 3}{x + 4}$$ and want to understand its behavior and graph. 2. **Formula and rules:** This is a rational

1. **State the problem:** We are given the relationship between the number of steps per minute $n$ and the pace length $P$ in metres for men as $$\frac{n}{P} = 140.$$ We need to fi

1. Planteamos el problema: Factorizar la expresión $$(x^3 - 6x^2y + 5y^3)(x^3 + x^2y + y^3)$$ y determinar si se puede factorizar más. 2. Observamos que la expresión es un producto

1. **State the problem:** We are asked to evaluate expressions where we start with a negative number and then add or subtract another number, making the result more negative. This

1. The problem involves adding or subtracting negative numbers, which is called "Case 3" where you start with a negative number and make it more negative. 2. Rule #1 states: Adding