🧮 algebra

1. **State the problem:** Solve for $x$ in the equation $x + 2 = 4$. 2. **Formula and rules:** To isolate $x$, subtract 2 from both sides of the equation. This uses the property of

1. **State the problem:** We need to find the possible amounts of food and supplies $f$ (in load units) that the catering van can carry, given the compound inequality: $$24,000 \le

1. **State the problem:** Tamika and Kevin each work two part-time jobs mowing lawns and raking yards. Tamika earns 10 per lawn and 5 per yard, wants to earn more than 200. Kevin e

1. **State the problem:** We want to find the number of days after July 1 when the average number of dogs and cats at the shelter is the same. 2. **Set up the equation:** The avera

1. **State the problem:** We are given the system of equations: $$2x + 6 = y$$

1. **State the problem:** We need to find the solution to the system of equations: $$y = 4x - 16$$

1. **State the problem:** We need to find the value of $y$ that satisfies the system of equations: $$9x + 5y = 8$$

1. **State the problem:** We need to find the weight of the larger pumpkin given that the smaller pumpkin weighs 3.2 pounds less than the larger one, and their combined weight is 1

1. **State the problem:** We have two pumpkins. The larger pumpkin weighs $x$ pounds. The smaller pumpkin weighs 3.2 pounds less than the larger pumpkin, so its weight is $x - 3.2$

1. **State the problem:** Write each expression in the form $a + bi$, where $a$ and $b$ are real numbers. 2. **Recall the rules:**

1. The problem asks to find the value of $\sqrt{-121}$. 2. Recall that the square root of a negative number involves the imaginary unit $i$, where $i = \sqrt{-1}$.

1. **State the problem:** We need to add two complex numbers: $ (3 + 4i) $ and $ (8 + 2i) $ and write the result in standard form $ a + bi $. 2. **Recall the formula:** To add comp

1. **State the problem:** Identify which numbers from the list are complex numbers. 2. **Recall the definition:** A complex number is any number that can be written in the form $a

1. **State the problem:** Find the rate of change (slope) of the linear function passing through points (2, 9) and (-1, 3). 2. **Formula:** The rate of change (slope) $m$ between t

1. **State the problem:** Find the x- and y-intercepts of the line given by the equation $$y = \frac{9}{5}x + 32$$. 2. **Recall intercept definitions:**

1. **Problem statement:** We are given the fruit fly population model $$P(t) = \frac{291}{1+565e^{-0.37t}}$$ where $t$ is the number of days. We need to find:

1. **Stating the problem:** På en skole er det 120 elever delt i to like store grupper, altså 60 elever i hver gruppe.

1. Plantegem el sistema d'equacions a resoldre: $$\begin{cases} 2x + y = 5 \\ 3y - 2x = 7 \end{cases}$$

1. **Problema:** Resoleu el sistema d'equacions: $$\begin{cases} 2x + y = 5 \\ 3y - 2x = 7 \end{cases}$$

1. **Problema:** Resol els sistemes d'equacions donats. 2. **Fórmula i regla:** Per resoldre sistemes de dues equacions amb dues incògnites, podem usar el mètode de substitució o e

1. **State the problem:** Calculate the average hourly cost of labor given the total job time and labor charges. 2. **Calculate total parts cost:**