🧮 algebra

1. El problema es entender por qué la expresión $a^2 + 2a + 1$ no se opera como una cuadrática común y si debería dar lo mismo el valor de $a$. 2. La expresión $a^2 + 2a + 1$ es un

1. **State the problem:** Simplify the expression $$\frac{6x - y}{10xy} + \frac{1}{2x} - \frac{2y - 7x}{5xy}$$ and show it equals $$\frac{k}{y}$$ where $$k$$ is an integer. 2. **Id

1. **State the problem:** Solve the simultaneous equations: $$\begin{cases} x + y = 2 \\ y + 2z = 12 \\ 5x + 7y + z = 13 \end{cases}$$

1. **State the problem:** Simplify the expression $$\frac{6x - y}{10xy} + \frac{1}{2x} - \frac{2y - 7x}{5xy}$$ and show it equals $$\frac{k}{y}$$ where $$k$$ is an integer. 2. **Id

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Graph the inequality $x < 4$ on a number line. 2. **Understand the inequality:** $x < 4$ means all values of $x$ are less than 4 but do not include 4 itse

1. **State the problem:** Solve the system of equations: $$\begin{cases}-6x - y = 23 \\ y = 4x + 7 \end{cases}$$

1. **State the problem:** Solve the simultaneous equations for integers $x, y, z$: $$\begin{cases} x - 2y = -3 \\ 2y + z = 3 \\ z - 2x = -3 \end{cases}$$

1. **State the problem:** Simplify the expression $$\sqrt[3]{\frac{49}{27}} \cdot j^{\frac{1}{3}}$$. 2. **Recall the formula:** The cube root of a fraction is the cube root of the

Let's find out how many values of $p$ make the difference quotient on $[2, p]$ equal to $0.5$! 1. Imagine you have points on the graph at $x=2$ and $x=p$. We want the average rate

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Solve the system of linear equations: $$2x + y = 8$$

1. We bekijken de vraag: "Hoeveel waarden van $p$ zijn er waarvoor het differentiequotiënt van $y$ op $[2, p]$ gelijk is aan 0,5?". 2. Het differentiequotiënt op het interval $[a,b

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** Simplify the expression $\sqrt{64} - \sqrt[3]{125}$.\n\n2. **Recall the formulas and rules:**\n- The square root $\sqrt{a}$ is the number that when square

1. **State the problem:** Given complex numbers $z_1 = 2 + i$, $z_2 = 3 + 4i$, and $z_3 = \overline{z_1}$ (the conjugate of $z_1$), express the following in the form $a + bi$: a) $

1. **State the problem:** If $x + 2 = 4$, find the value of $x$. 2. **Use the rule for solving one-step equations:** To isolate $x$, undo the $+2$ by subtracting $2$ from both side

1. **Problem:** If $x + 2 = 4$, what is the value of $x$? 2. **Formula used:** To isolate $x$, subtract the same number from both sides of the equation.

1. **Problem:** If $x + 2 = 4$, find the value of $x$. 2. **Formula:** To solve for $x$, use the property of equality: subtract the same number from both sides.

1. **Stating the problem:** We are given

1. Planteamos el problema: Tenemos un pueblo con 100 lámparas que se encienden 8 horas al día y gastan 3200 euros al mes. 2. Queremos saber cuántas horas al día podrán estar encend