🧮 algebra

1. Problem: Løs ligningen med brøker: $$\frac{2x}{2} = 3$$ 2. Formel: Når vi har en ligning med en brøk, kan vi multiplicere begge sider med nævneren for at fjerne brøken.

1. The problem states that $y = f(x) = \log_m(x)$ with $m > 1$ and asks to find a point that the graph of $y = g(x) = \log_m(0.5x)$ could pass through. 2. Recall the logarithm prop

1. **State the problem:** Calculate the value of the expression $$80 \div \left(4^2 \div \frac{2}{5}\right) + 3.75$$. 2. **Recall the order of operations:** Parentheses first, then

1. **Stating the problem:** Beräkna arean av botten på en läskburk som är en cirkel med radien $r=3$ cm.

1. Stating the problem: Solve the equation $6 + x = 3x - 12$ for $x$. 2. Write down the equation:

1. Planteamos el problema: Queremos saber si el vector $\vec{w} = (5,7)$ puede expresarse como combinación lineal de los vectores $\vec{a} = (2,1)$ y $\vec{b} = (1,3)$, es decir, s

1. **State the problem:** We are given the expression $2 + 6 \div 2 + 4 \times 3$ and asked to:

1. **State the problem:** We are given a sequence starting with the first term unknown, and the term-to-term rule is "Multiply by a number then subtract 2". The sequence provided i

1. **State the problem:** Simplify the expression $(+4ab-5ab)\times(+3ab+5a^2-3-5ab)$.\n\n2. **Simplify inside the parentheses:**\n\nFirst, simplify $+4ab-5ab$:\n$$+4ab-5ab=\cancel

1. **State the problem:** Factor the quadratic polynomial $$2x^2 + 9x + 7$$ into the form $$(ax + b)(cx + d)$$. 2. **Recall the factoring method:** For a quadratic $ax^2 + bx + c$,

1. We are given the system of equations: $$2+3x=-7$$

1. The problem is to find the value of the function $h(x) = -3x - 2$ at $x=3$. 2. The formula given is $h(x) = -3x - 2$.

1. **State the problem:** We need to find the value of $g(2) \cdot h(3)$ given the function $g(x) = 5x - x^2$. However, the function $h(x)$ is not provided, so we can only evaluate

1. **State the problem:** Factor the polynomial $$4x^2 + 12x + 9$$. 2. **Recall the factoring formula:** For a quadratic $$ax^2 + bx + c$$, we look for two binomials $$(mx + n)(px

1. **Problem Statement:** We are given a rational function $f(x)$ with vertical asymptotes at $x = -2$ and $x = 2$, and a horizontal asymptote at $y = 0$. We need to determine whic

1. Problemet handlar om att avgöra om bensinen räcker hela vägen under en bilresa. 2. Vi vet att tanken var full i början, vilket vi kan kalla 1 (hela tanken).

1. Problemet handlar om att förstå hur bråket $\frac{3}{4}$ kan representeras och hur man kan ställa upp det. 2. Ett bråk $\frac{a}{b}$ betyder att vi delar något i $b$ lika delar

1. Problemet handlar om att avgöra om bensinen räcker hela vägen under en bilresa. 2. Vi vet att tanken var full i början, vilket vi kan kalla 1 (hela tanken).

1. Problemet handlar om att avgöra om bensinen räcker hela vägen under en bilresa. 2. Vi vet att tanken var full i början, och efter \(\frac{4}{5}\) av resan finns \(\frac{1}{4}\)

1. **State the problem:** Find the slope of the line passing through the points $(-5, 3)$ and $(5, -3)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ and

1. **State the problem:** Solve the inequality $2(x - 1) < 6 - x$. 2. **Apply the distributive property:**