🧮 algebra

1. The problem asks to identify which graph corresponds to an equation of the form $y=\frac{k}{x}$, where $k$ is an integer. 2. The general form $y=\frac{k}{x}$ represents a recipr

1. **State the problem:** Rewrite the equation $$\frac{3}{a} x - 4 = 20$$ to express $$x$$ in terms of $$a$$.

1. **State the problem:** Solve the equation $$-ax + 6 = -21$$ for $$x$$. 2. **Isolate the term with $$x$$:** To isolate $$x$$, subtract 6 from both sides of the equation using the

1. The problem is to fill in the blanks related to literal equations and their components. 2. Literal equations involve more than one letter or variable, such as $-ax + 6 = -21$.

1. **State the problem:** Solve for $z$ in the equation $$\frac{z}{12} = \frac{4}{5}.$$\n\n2. **Formula and rules:** To solve for $z$, we use the property of equality of fractions:

1. Stated problem: Solve for $k$ in the equation $$\frac{3}{k} = \frac{4}{5}$$. 2. Formula and rule: To solve for $k$, we use cross multiplication which states that if $$\frac{a}{b

1. **Problemstellung:** Überprüfen wir die Richtigkeit der Potenzgesetze und Vereinfachungen in den gegebenen Ausdrücken a) bis h). 2. **Wichtige Regeln:**

1. **State the problem:** Solve the literal equation $$-ax + 6 = -21$$ for the variable $$x$$. 2. **Formula and rules:** To solve for $$x$$, isolate $$x$$ on one side of the equati

1. **Problem statement:** Schreibe die folgenden Ausdrücke als eine Potenz. 2. **Wichtige Regeln:**

1. **State the problem:** We need to find the number of which 35 is 70%. 2. **Formula:** To find a number when a percentage of it is known, use the formula:

1. **State the problem:** We have a table showing the relationship between cups of ice cream and cups of soda. We want to find how much soda Sidney will use for 19 cups of ice crea

1. Problemet: Sergejs cykelhjul har radien 35 cm. Vi ska räkna ut hur många varv hjulen snurrar när Sergej cyklar 1 km. 2. Formeln för omkretsen av ett hjul är $$O = 2 \pi r$$ där

1. The problem asks to evaluate the expression $12^2 \cdot 3^3$ and write the answer as a whole number. 2. Recall the meaning of exponents: $a^n$ means multiplying $a$ by itself $n

1. **State the problem:** Evaluate the expression $$\frac{10^9}{10^7}$$ and write the answer as a whole number. 2. **Recall the rule for division of powers with the same base:** Wh

1. **Problemstellung:** Löse das lineare Gleichungssystem (I) 4 = 2x - y

1. The problem is to solve the equation quickly. 2. Since no specific equation is given, let's consider a simple example: solve for $x$ in $2x + 3 = 7$.

1. **State the problem:** Solve the equation $3(1 - x) - 2(3 - x) = 4(1 - 2x)$. 2. **Write the formula and rules:** Use the distributive property $a(b + c) = ab + ac$ to expand eac

1. The problem is to rewrite the equation for the variable $I$. 2. To do this, we need the original equation involving $I$. Since it is not provided, let's assume a general linear

1. **Plantejament del problema:** Tenim dos punts A = (0,0) i B = (2,2) i volem trobar l'equació de la recta que passa per aquests punts. 2. **Fórmula per a l'equació de la recta:*

1. **State the problem:** Solve the equation for $x$: $$7(x+2)+4=-7(x-2)-7$$ 2. **Expand both sides:**

1. Das Problem lautet: Berechne den Ausdruck $ (8w3x8y2)^2 $. 2. Die Regel für das Quadrieren eines Terms besagt, dass man den Term mit sich selbst multipliziert: $$ (a)^2 = a \tim