🧮 algebra

1. The problem is to solve a grade 9 math question. Since no specific question was provided, let's consider a common algebra problem: Solve for $x$ in the equation $2x + 3 = 11$. 2

1. **Problem statement:** Two trains leave the station at 9 am. One blows its whistle every 12 minutes, the other every 9 minutes. After the initial whistle at 9 am, we want to fin

1. **State the problem:** Calculate the value of the expression $-2 - 4 - 4 \times 4 \times 7 \times -2$. 2. **Recall the order of operations:** Multiplication and division are per

1. **State the problem:** Simplify the expression $$(9 - 4) \times (-2) + (-6) \div 6 - (-9) \times 8$$. 2. **Apply order of operations (PEMDAS):**

1. **Énoncé du problème** : Déterminer le domaine et les zéros des fonctions

1. **State the problem:** Find the zeros of the function $$g(x) = \frac{x^2 - 16}{x - 4}$$ with domain $$\mathbb{R} \setminus \{4\}$$.

1. The problem is to convert temperatures from Celsius (°C) to Fahrenheit (°F) using the formula: $$\text{°F} = 32 + 1.8 \times \text{°C}$$

1. **State the problem:** Factor the quadratic expression $y = 8x^2 + 19x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that m

1. **Problem 1: Percentage increase in bid** The original bid is 42.99 and the new bid is 45.00. We want to find the percentage increase.

1. **State the problem:** We need to fill in the missing decimal and percentage values in the chart for the given fractions and decimals. 2. **Recall the formulas:**

1. **State the problem:** Calculate the total loss (in the red) for Premier Arts Company over four months: July, August, September (losses), and October (profit).

1. **State the problem:** Solve the system of equations: $$y^2 + xy = 5$$

1. The problem is to simplify the fraction $\frac{75}{120}$ to its simplest form. 2. To simplify a fraction, we divide both the numerator and denominator by their greatest common d

1. The problem is to simplify the fraction $$\frac{54}{63}$$. 2. To simplify a fraction, we divide the numerator and denominator by their greatest common divisor (GCD).

1. We hebben een koppel ratten dat gemiddeld 20 nakomelingen per jaar heeft. 2. Elke generatie leeft slechts één jaar, dus het aantal ratten per jaar is een exponentiële groei met

1. The problem asks to compare the steepness of the lines $g(x) = \frac{1}{3}x$ and $f(x) = x$. 2. The steepness of a line is determined by the absolute value of its slope.

1. The problem asks which lines have the same slope as the line given by the equation $y = 3x + 9$. 2. Recall that the slope-intercept form of a line is $y = mx + b$, where $m$ is

1. **Probleemstelling:** We weten dat $K$ evenredig is met $L$ en dat de rechte door het punt $B(7{,}5;85{,}05)$ gaat. We moeten $K$ berekenen als $L=42$. 2. **Formule:** Als $K$ e

1. We are given a line $k$ with equation $y = -1.4x + 5$ and a point $A(0, 3.4)$ through which line $N$ passes. 2. Since line $N$ is parallel to line $k$, it has the same slope. Th

1. **State the problem:** Simplify the expression $x^2 + 2x$ or factor it if possible. 2. **Recall the factoring formula:** For expressions like $ax^2 + bx$, you can factor out the

1. The problem is to understand the difference between using 108 and 1.08 in calculations. 2. When a number like 1.08 is used, it usually represents a value slightly greater than 1