🧮 algebra

1. **State the problem:** We need to find the slope of line $r$ which is perpendicular to line $q$. Line $q$ passes through points $(-91, -80)$ and $(-90, -72)$. 2. **Find the slop

1. **State the problem:** We are given the equation of line e as $$y = -\frac{21}{59}x + 89$$ and asked to find the slope of line f which is parallel to line e. 2. **Recall the rul

1. **State the problem:** We need to find the slope of line d, which is parallel to line c. Line c passes through points (7, 10) and (3, 3). 2. **Recall the formula for slope:** Th

1. **State the problem:** Determine if line j passing through points (10, 6) and (1, 4) and line k passing through points (10, 9) and (1, 7) are parallel, perpendicular, or neither

1. **State the problem:** We need to find the slope of line $k$ which is perpendicular to line $j$. Line $j$ passes through points $(1, 5)$ and $(7, 10)$. 2. **Formula for slope:**

1. **Identify irrational numbers from the list:** - A rational number can be expressed as a fraction of two integers.

1. **State the problem:** Find the sum of $3 \times 10^6$ and $3 \times 10^6$. 2. **Recall the formula:** When adding numbers in scientific notation with the same power of 10, add

1. **State the problem:** We are given a table of points representing the number of tickets and their corresponding cost. We need to find the equation of the line in slope-intercep

1. The problem asks which graph represents a linear function increasing at a constant rate. 2. A linear function has the form $$y = mx + b$$ where $$m$$ is the slope (rate of chang

1. The problem asks which graph represents a linear function increasing at a constant rate. 2. A linear function increasing at a constant rate has a positive slope and is a straigh

1. **State the problem:** Translate and solve the equation "4 less than 5 times a number equals 16". 2. **Write the algebraic equation:** Let the number be $x$. The phrase "5 times

1. **State the problem:** Zorna weighs 92 pounds, which is 6 pounds more than half of her father's weight. We want to find her father's weight. 2. **Set up the equation:** Let $x$

1. **State the problem:** Solve the equation $x - 10 + 7x = 15 + 3x$ for $x$. 2. **Combine like terms on each side:**

1. **State the problem:** We are given the sequence formula $a_n = 20n - 30$ and asked to find the term $a_{31}$. 2. **Formula used:** The formula for the $n$-th term of the sequen

1. **State the problem:** Find the maximum height of the rocket given by the height function $$h(t) = -16t^2 + 96t + 112$$ where $t$ is time in seconds. 2. **Formula and rules:** T

1. **State the problem:** We have an arithmetic sequence representing the number of toy rockets produced each hour for 8 hours. The first hour's production is 40 rockets, and the s

1. We are asked to find the equations of 5 parabolas in the form $$f(x) = a(x-p)^2 + q$$ where $$a$$ is one of $$\frac{10}{9}, -2, -\frac{1}{2}, \frac{1}{4}$$. 2. The form $$f(x) =

1. **State the problem:** Simplify and solve the expression $$\frac{(4x - 7)^2 \cdot (x - 3)(x - 2y)0}{x - 2y4}$$ given the vertical fraction and terms. 2. **Analyze the expression

1. **State the problem:** Determine if the y-intercept of Function A is greater than the y-intercept of Function B. 2. **Recall y-intercepts:** From previous calculations, Function

1. **State the problem:** We are given two functions, Function A (a linear function graphed) and Function B (given as a table of points). We need to determine which statement about

1. **Stel het probleem vast:** We hebben drie tweedegraadsfuncties (parabolen) met gegeven vertex (top) en oriëntatie (omhoog of omlaag). We moeten voor elke functie het domein, be