🧮 algebra

1. **Stel de vraag:** Wat betekent het 10-tallig stelsel? 2. **Definitie:** Het 10-tallig stelsel, ook wel decimaal stelsel genoemd, is het getalsysteem dat we dagelijks gebruiken.

1. **Begrijp het concept:** Bij een getal in een bepaald talstelsel (zoals base 7) is de macht van de basis afhankelijk van de positie van het cijfer, beginnend van rechts naar lin

1. **Stel het probleem vast:** Je vraagt hoe je van de binaire getallen $00011011$ en $00001110$ naar $00001011$ gaat bij het toepassen van bitwise operatoren. 2. **Herinner de bit

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. The problem is to factor the quadratic expression $x^2 + 5x + 6$. 2. To factor a quadratic of the form $ax^2 + bx + c$, we look for two numbers that multiply to $c$ and add to $

1. **State the problem:** Simplify the expression $$\left(\frac{(x^{12})^{0.25}(216x^{9})}{(3x)^{6}(x^{18})^{0.5}}\right)^{-1/3}$$

1. **State the problem:** Solve the equation $2y^2(4-2) = 16$ for $y$. 2. **Simplify the expression inside the parentheses:**

1. **State the problem:** Solve the inequality $$22 \geq -7(2 - y) + 2y$$ for $$y$$. 2. **Apply the distributive property:**

1. **State the problem:** Solve the inequality $$-5(x + 7) + 25 \leq 3(2 - x)$$ for $$x$$. 2. **Apply the distributive property:**

1. **State the problem:** Pablo boards a train moving away from the coast at a constant rate. After 11 hours, he is 591 km from the coast, and after 16 hours, he is 836 km from the

1. **State the problem:** We have a tank being drained at a constant rate. After 21 minutes, it contains 371 liters, and after 31 minutes, it contains 181 liters. We want to find t

1. **State the problem:** We want to find the number of weeks $w$ after the beehive's establishment when the population $B$ reaches 720. 2. **Given equation:** The population is mo

1. **State the problem:** We are given a rectangle with area 28 yd². The length is 1 yd more than twice the width. We need to find the length and width. 2. **Set variables:** Let t

1. **State the problem:** We need to find the length and width of a rectangle where the length is 3 ft less than twice the width, and the area is 27 ft\(^2\). 2. **Define variables

1. **State the problem:** Preston earns 33.00 for babysitting for 2.4 hours. We want to find how much he earns per hour. 2. **Write the equation:** Let $x$ be the amount Preston ea

1. **State the problem:** Solve for $x$ in the equation $$x - \frac{4}{5} = \frac{1}{2}$$

1. **State the problem:** Solve the equation for $y$ given by $$y - 2 = -6$$

1. **State the problem:** We are given the equation $2x - (6x - 8) = 32$ and asked to find the value of $8x + 4$. 2. **Rewrite the equation and simplify:**

1. The problem is to simplify the expression given by the user, but since no specific expression was provided, I will explain the general process of simplification. 2. Simplificati

1. **State the problem:** We are given the points $(-2, 3)$, $(3, -2)$, $(1, 3)$, and $(0, -2)$ and asked to determine if these points represent a function. 2. **Recall the definit