🧮 algebra

1. **Stating the problem:** Given the table of points $(x,y)$:

1. **State the problem:** Subtract the polynomial \((4m^2 + 6m + 1)\) from \((6m^2 + 8m + 6)\). 2. **Write the expression:**

1. **State the problem:** We have a proportional relationship between the number of oatmeal raisin cookies Mia buys, $x$, and their total cost in dollars, $y$.

1. **Problem Statement:** We are given a graph of a function with points approximately (-4, -4) and (2, 6), indicating a positive slope. We need to determine which of the given rel

1. The problem states there is a proportional relationship between the number of books $x$ and the shelf space $y$ in inches. 2. The constant of proportionality $k$ in a direct pro

1. The problem asks to find which relationship represents a function with a lesser slope than the function $y = -2x + 8$. 2. The slope of the given function is $-2$.

1. The problem asks to find which relationship represents a function with a lesser slope than the function $y = -2x - 3$. 2. The slope of the given function is $-2$.

1. **State the problem:** Find the equation of a line parallel to the line $y = 2x + 8$ that passes through the point $(-4, 9)$. 2. **Recall the rule for parallel lines:** Parallel

1. **State the problem:** We are given a proportional relationship between the number of tokens Brenda uses, $x$, and the number of pitches thrown by the pitching machine, $y$. We

1. **State the problem:** Simplify the expression $$\left( \frac{7}{5^2} + \log_7 \left( \frac{686}{2} \right) \right) \times 3 \sqrt{\frac{125}{8}} \times \frac{5}{11}$$. 2. **Eva

1. **State the problem:** Identify the x-intercept and y-intercept of the line from the graph. 2. **Recall definitions:**

1. **State the problem:** Find the x-intercept and y-intercept of the line given by the equation $$-5x - 7y = 140$$. 2. **Recall the intercept definitions:**

1. **State the problem:** Find the 8th term of the geometric sequence 8, 16, 32, ... 2. **Identify the first term and common ratio:** The first term $a_1 = 8$.

1. **Problem statement:** Calculate the car's average miles-per-gallon (mpg) for the entire trip. 2. **Given data:**

1. **State the problem:** Calculate the sum $\frac{1}{2} + \frac{1}{2}$.\n\n2. **Formula used:** When adding fractions with the same denominator, add the numerators and keep the de

1. **State the problem:** We need to write an equation representing the relationship between the amount of water $W$ (in liters) and time $T$ (in minutes) based on the graph data.

1. **State the problem:** Maria buys computer disks at a price of 4 for 5 and sells them at a price of 3 for 4. We need to find how many disks she must sell to make a profit of 100

1. **State the problem:** A kangaroo chases a rabbit that starts 150 feet ahead. Each time the kangaroo leaps 12 feet, the rabbit leaps 7 feet simultaneously. We want to find how m

1. **State the problem:** Simplify the expression $$\sqrt{75} - \sqrt{3} + \sqrt{8}$$ to its simplest radical form. 2. **Recall the rule:** To simplify square roots, factor the num

1. **Problem Statement:** We are given a function $f(x)$ defined on the interval $[-9,9]$ with specific points on its graph. We need to find the $x$-value(s) where the global maxim

1. The problem asks for the equation of a line perpendicular to $y=\frac{1}{3}x - 5$ that passes through the point $(-2, 12)$.\n\n2. Recall the slope-intercept form is $y=mx+b$, wh