🧮 algebra

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

1. **State the problem:** Factor the expression $ (2x-1)(4x^2-2x+1) $ completely. 2. **Recall the distributive property:** To factor or expand a product of two expressions, multipl

1. **State the problem:** Factor the polynomial expression $$3x^4 - 24x$$. 2. **Identify the greatest common factor (GCF):** Both terms have a factor of $$3x$$.

1. **State the problem:** We need to order the fractions $\frac{1}{2}$, $\frac{7}{10}$, and $\frac{5}{8}$ from least to greatest. 2. **Formula and rules:** To compare fractions, co

1. **State the problem:** We need to put the fractions $\frac{1}{10}$, $\frac{2}{3}$, and $\frac{5}{11}$ in order from least to greatest. 2. **Formula and rules:** To compare fract

1. **State the problem:** We need to put the fractions $\frac{1}{2}$, $\frac{7}{10}$, and $\frac{2}{3}$ in order from least to greatest. 2. **Formula and rules:** To compare fracti

1. **State the problem:** We need to order the fractions $\frac{1}{2}$, $\frac{5}{11}$, and $\frac{2}{5}$ from least to greatest. 2. **Formula and rules:** To compare fractions, we

1. **State the problem:** We need to put the fractions $\frac{1}{2}$, $\frac{4}{5}$, and $\frac{3}{4}$ in order from least to greatest. 2. **Formula and rules:** To compare fractio

1. **State the problem:** We need to order the fractions $\frac{2}{3}$, $\frac{1}{2}$, and $\frac{4}{7}$ from least to greatest. 2. **Formula and rules:** To compare fractions, we

1. **State the problem:** We need to order the fractions $\frac{3}{5}$, $\frac{3}{7}$, $\frac{3}{4}$, and $\frac{3}{8}$ from least to greatest. 2. **Formula and rule:** To compare

1. **State the problem:** We are given the quadratic functions $y=5x^2$ and $y=\frac{1}{4}x^2$ and need to fill in tables of values by squaring $x$, multiplying by the coefficient

1. **Énoncé du problème :** Une entreprise fabrique des poutres métalliques vendues 2,3 milliers d'euros la tonne. Le coût de production en milliers d'euros est donné par $$C(x) =