🧮 algebra

1. **State the problem:** Calculate the product of the fractions $\frac{28}{1}$ and $\frac{11}{14}$. 2. **Write the formula:** The product of two fractions $\frac{a}{b}$ and $\frac

1. The problem states there is a proportional relationship between the size of Zane's garden $x$ (in square feet) and the number of carrots $y$ he can grow. 2. A proportional relat

1. **State the problem:** Isaiah and his friends are sailing, and the distance from shore $y$ (in miles) is proportional to the time $x$ (in hours) they spend sailing.

1. The problem states there is a proportional relationship between the age of Brenna's apple tree $x$ (in years) and its height $y$ (in feet). 2. In a proportional relationship, th

1. The problem states there is a proportional relationship between yards ($x$) and feet ($y$), meaning $y = kx$ where $k$ is the constant of proportionality. 2. From the graph, we

1. The problem involves identifying the equations of lines from given points and matching them to graphs. 2. Given points: (4,0), (8,-5), (12,-10), (16,-15).

1. The problem states there is a proportional relationship between the number of days Tanvi is stranded on the island, $x$, and the total number of trees she cuts down, $y$. 2. A p

1. **State the problem:** Add the two polynomials $ (5s + 8) $ and $ (4s^2 + 7s + 6) $. 2. **Recall the rule:** To add polynomials, combine like terms, which are terms with the sam

1. **Stating the problem:** We want to find a function with a lesser rate of change (slope) than the function $y = -\frac{5}{4}x + 5$.

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:**