🧮 algebra

1. **State the problem:** Lizzie builds doghouses and earns money from the hardware store. We want to find how many doghouses she built if she received $360, and determine the rate

1. The variables $x$ and $y$ typically represent coordinates or values in a mathematical context. 2. In a coordinate system, $x$ usually represents the horizontal position, and $y$

1. The question "what is my x and what is my y" is unclear without additional context. 2. Typically, $x$ and $y$ represent variables or coordinates in mathematics.

1. **State the problem:** Tiara needs to relate the number of signatures $y$ to the number of filled sheets $x$, knowing each sheet has 25 signatures. 2. **Write the equation for d

1. **State the problem:** Simplify the complex fraction $$\frac{4 - 10i}{-3 - 7i}$$ into the form $$a + bi$$ where $$a$$ and $$b$$ are real numbers. 2. **Formula and rule:** To sim

1. **State the problem:** Simplify the product of two complex numbers $(5 - 2i)$ and $(9 + 10i)$ into the form $a + bi$. 2. **Recall the formula:** When multiplying complex numbers

1. **State the problem:** Simplify the product of two complex numbers $(-2 - 9i)$ and $(-9 + 4i)$ into the form $a + bi$. 2. **Recall the formula:** When multiplying complex number

1. **State the problem:** Simplify the expression $$(8 - 3i)(4 + 4i)$$ into the form $a + bi$ where $a$ and $b$ are real numbers. 2. **Recall the formula:** To multiply two complex

1. **State the problem:** Simplify the expression $(-4 - 5i)(9 + 2i)$ into the form $a + bi$ where $a$ and $b$ are real numbers. 2. **Recall the formula:** To multiply two complex

1. **State the problem:** We need to find two numbers that multiply to $$-26$$ and add to $$11$$. 2. **Write down what is given:**

1. The problem asks us to find two numbers that multiply to $$36$$ and add to $$-12$$. 2. Let the two numbers be $$x$$ and $$y$$.

1. **State the problem:** We need to find two numbers that multiply to $$-36$$ and add to $$0$$. 2. **Formula and rules:** Let the two numbers be $$x$$ and $$y$$.

1. **State the problem:** We need to find two numbers whose product is $-42$ and whose sum is $-11$. 2. **Use the formulas:** Let the two numbers be $x$ and $y$. Then:

1. **State the problem:** We need to find two numbers that multiply to $-36$ and add to $-16$. 2. **Formula and rules:** If the two numbers are $x$ and $y$, then:

1. **State the problem:** Mario notices that four out of every seven books on his bookshelf are comic books. We want to find the equation $y = kx$ where $y$ is the number of comic

1. **State the problem:** We know that for every 6 sculptures, there are 10 paintings. We want to complete the table and find an equation relating paintings $y$ to sculptures $x$ i

1. **State the problem:** Naomi wants to buy a computer costing $840. She has two payment plans and wants to know which plan pays off the computer faster. 2. **Write down the given

1. **State the problem:** Find the equation of the line passing through the points $ (2, 2.5) $ and $ (0, -2.5) $. 2. **Formula used:** The slope-intercept form of a line is $$ y =

1. **State the problem:** We need to find an expression for the total score based on the number of beanbags landing on the board and in the hole. 2. **Identify variables and points

1. **State the problem:** We need to write an expression that represents subtracting one-half of $n$ from $15$. 2. **Understand the terms:** "One-half of $n$" means $\frac{1}{2}n$

1. **State the problem:** Lucas wants to find the total cost of 2 bags of tortilla chips. 2. **Define variables:** Let $b$ be the price per bag of tortilla chips.