🧮 algebra

1. **State the problem:** We need to find the distance between the points $1.8$ and $-9.6$ on a number line. 2. **Formula used:** The distance between two points $a$ and $b$ on a n

1. **State the problem:** We need to find the distance between the points $2.3$ and $-5.3$ on a number line. 2. **Formula:** The distance between two points $a$ and $b$ on a number

1. **State the problem:** We are given a line with slope $X = -1$ and a point $(-2, 2)$. We need to find the equation of the line perpendicular to this given line that passes throu

1. **State the problem:** We know the bakery sold $138$ mocha cupcakes, which is $46\%$ of the total cupcakes sold. We need to find the total number of cupcakes sold that day. 2. *

1. **State the problem:** Cameron drove $156$ miles in $3$ hours. We need to find how long it would take to travel $520$ miles at the same rate. 2. **Formula used:** Speed = Distan

1. **State the problem:** We know the bakery sold $138$ mocha cupcakes, which is $46\%$ of the total cupcakes sold. We need to find the total number of cupcakes sold that day. 2. *

1. **State the problem:** Deondra bought 9 fish sticks for 18.90. We want to find the cost for 17 fish sticks. 2. **Formula:** To find the cost per fish stick, use the unit rate fo

1. **State the problem:** Find the slope $m$ of the line passing through the points $(-9, 5)$ and $(-6, 2)$. 2. **Formula for slope:** The slope between two points $(x_1, y_1)$ and

1. **State the problem:** Find the slope $m$ of the line passing through points $(-4, 2)$ and $(3, -5)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ and

1. **State the problem:** Solve the equation $$4|x+8|=56$$ for $$x$$. 2. **Formula and rules:** The absolute value equation $$|A|=B$$ implies $$A=B$$ or $$A=-B$$ when $$B \geq 0$$.

1. **State the problem:** Solve the equation $$|x| + 1 = 2$$ for $x$. 2. **Understand the absolute value:** The absolute value $|x|$ represents the distance of $x$ from zero on the

1. **State the problem:** We need to sketch the graph of the equation $$y = 2x$$.

1. **State the problem:** We need to match each linear equation with its corresponding graph based on slope and y-intercept. 2. **Recall the slope-intercept form:** The equation of

1. **State the problem:** We need to identify which graph corresponds to the equation $$y = -2x + 2$$. 2. **Recall the slope-intercept form:** The equation $$y = mx + b$$ has slope

1. **State the problem:** You start with $236 saved and save an additional $29 every month. We want to write an equation for total savings $s$ after $m$ months.

1. **State the problem:** We need to find the slope and the y-intercept of the line given by the equation $$y = 10x - 9$$. 2. **Recall the slope-intercept form:** The slope-interce

1. **State the problem:** We need to find the number of seats in each row of a movie theater where the first row has $10$ seats and each subsequent row has $4$ more seats than the

1. **State the problem:** We are given a relation as a set of ordered pairs from a table: $$\{(-3,-4), (-2,7), (2,0), (3,-10), (10,8)\}$$

1. **State the problem:** We are given a table of input-output pairs and need to find the domain and range. 2. **Understand domain and range:**

1. **State the problem:** Identify which equations are written in function notation. 2. **Recall the definition:** Function notation is written as $$f(x) = \text{expression}$$ wher

1. **State the problem:** We need to find the value of $x$ such that $g(x) = 4$ for the function $$g(x) = 1 + \frac{x}{5}$$. 2. **Write the equation to solve:** Set the function eq