🧮 algebra

1. **State the problem:** Simplify the expression $3b^3 \cdot 8b^5$. 2. **Recall the rules:** When multiplying terms with the same base, multiply the coefficients and add the expon

1. **Stel het probleem vast:** We moeten voor elke eerstegraadsfunctie (rechte lijn) een tekentabel opstellen. 2. **Belangrijke regels:**

1. We are asked to determine the value of $b$ in the linear function $f(x) = ax + b$ given the graph information. 2. The value of $b$ in the standard form of a linear equation $f(x

1. **State the problem:** Simplify the expression $$18 + 3(3x - 6)$$. 2. **Use the distributive property:** Multiply 3 by each term inside the parentheses.

1. **State the problem:** Solve the equation $$-10p + 9p = 12$$ for the variable $p$. 2. **Combine like terms:** The terms $-10p$ and $9p$ are like terms because they both contain

1. **State the problem:** Mandy has a gift card worth 75 and each audiobook costs 3.75. We need to find the remaining balance after purchasing 7 audiobooks and after purchasing 15

1. **State the problem:** Simplify the expression $$\frac{6}{4 - \sqrt{5}}$$. 2. **Formula and rule:** To simplify a fraction with a radical in the denominator, multiply numerator

1. **State the problem:** A bank charges a monthly fee of 3.50 for a checking account with an initial balance of 32. We want to find how many months it takes for the balance to bec

1. **State the problem:** Solve the inequality $2x^2 - 5x - 3 < 0$. 2. **Formula and rules:** To solve a quadratic inequality, first find the roots of the quadratic equation $2x^2

1. Probleemstelling: Los die volgende algebraïese oefening op: maak die oefeninge klaar. 2. Omdat die gebruiker nie 'n spesifieke probleem gegee het nie, neem ons aan hulle vra vir

1. Das Problem lautet: Löse die Gleichung $2x + 3 = 11$. 2. Die Formel, die wir verwenden, ist die Gleichungsumformung: Um $x$ zu isolieren, subtrahieren wir zuerst 3 von beiden Se

1. **State the problem:** Graph the linear equation $y = -\frac{2}{3}x - 16$. 2. **Formula and rules:** A linear equation in slope-intercept form is $y = mx + b$, where $m$ is the

1. **Problemstellung:** Wir sollen die fehlenden Werte in der Tabelle für Verbrauch (m³) und Gesamtkosten (€) berechnen (Aufgabe 7c) und die Aufgaben 8a, 8b, 8c lösen.

1. **State the problem:** We need to find the value of $t$, a positive real number, given the equation: $$\log_3 t + \log_9 t + \log_{27} t + \log_{81} t = 10$$

1. **State the problem:** Solve the equation $$\frac{x}{3} + 4 = \frac{5}{2}$$ for $x$. 2. **Isolate the variable term:** Subtract 4 from both sides to get $$\frac{x}{3} = \frac{5}

1. The problem is incomplete as it only shows a fraction with numerator $x$ and no denominator. 2. To solve or simplify a fraction, both numerator and denominator must be specified

1. **Probleemstelling:** Marie fietst 2 kilometer naar school met wielen van 50 cm diameter. We willen weten hoeveel keer het wiel ronddraait. 2. **Formule:** Om het aantal omwente

1. **Problem statement:** a) Find the exponential function $k$ with initial value 4 and doubling time 10 years.

1. **Stating the problem:** We have a mapping of percentages to a new scale: - 85.5% maps to 0%

1. Il problema chiede di risolvere l'inequazione quadratica $$x^2 - 3x + 1 \geq 0$$. 2. La formula generale per risolvere un'inequazione quadratica $$ax^2 + bx + c \geq 0$$ è trova

1. Problema: Risolvi le equazioni di secondo grado frazionarie da 263 a 270. 2. Formula e regole: Per risolvere equazioni frazionarie, si trova il minimo comune denominatore (MCD)