🧮 algebra

1. **State the problem:** Find what percent 30 is of 69. 2. **Formula:** To find what percent $a$ is of $b$, use the formula:

1. **Stating the problem:** We need to find the domain and range of the function $y = f(x)$ based on the given graph points and arrows. 2. **Understanding domain and range:**

1. The problem asks for the value of the function $f$ at $x=6$, i.e., find $f(6)$. 2. From the description, the function $f$ is graphed as a continuous curve with several points an

1. **Problem Statement:** We need to find a cubic function $f(x)$ that matches the described graph. 2. **Understanding the graph:** The graph is cubic, passing through the origin $

1. **State the problem:** We are given the average time $58.2$ seconds for running $400$ meters, and the times vary by $6.4$ seconds from this average. We need to write an equation

1. **Stating the problem:** Which expression is equivalent to $\frac{3}{5}$? 2. **Understanding the problem:** The fraction $\frac{3}{5}$ means 3 divided by 5.

1. **Problem:** A farmer wants to build a rectangular fence around a garden. The length of the garden is 10 meters more than its width. If the farmer has 60 meters of fencing mater

1. **State the problem:** You have two bundles of spaghetti noodles: one with 5 noodles and one with 10 noodles. The 5-noodle bundle can hold 10 quarters before breaking, and the 1

1. **State the problem:** We need to determine which pair of expressions are equivalent by simplifying each and comparing. 2. **Check pair 1: $4 + 12x$ and $4(3x + 1)$**

1. **State the problem:** Jane starts with 50 in savings and after 8 weeks, she has 290. Each week, she earns some amount $x$ babysitting but donates 5 every week. We need to find

1. **State the problem:** We are given the function $$g(x) = \frac{1}{2} (x + 1)^2 - 3$$ and asked to graph it, identify its domain and range. 2. **Identify the type of function:**

1. **State the problem:** Solve the equation $$3(1 + 11x) = -5(-3 - x) - 12$$ for $x$. 2. **Apply the distributive property:** Multiply out the parentheses on both sides.

1. **State the problem:** Solve the linear equation $$-4(m + 10) = 8m + 4(-12 - 2m)$$ for the variable $m$. 2. **Apply the distributive property:** Multiply the constants outside t

1. **State the problem:** Graph the function $g(x) = -3(x - 2)^2 + 4$ and identify its domain and range. 2. **Formula and rules:** This is a quadratic function in vertex form $g(x)

1. **Staðhæfing verkefnis:** Við skoðum fallin

1. **State the problem:** We need to find the value of a fraction equivalent to $\frac{28}{70}$ with denominator 4. 2. **Recall the rule for equivalent fractions:** Two fractions $

1. Stating the problem: We need to find the value of the missing numerator in the fraction $\frac{4}{?}$ such that it is equivalent to $\frac{28}{70}$. 2. Understanding equivalent

1. **State the problem:** We need to find the equation of a line passing through the point $(-10, 12)$ with slope $m = -\frac{9}{5}$. The equation should be in standard form $Ax +

1. **State the problem:** We need to find the equation of a line that passes through the point $(3, -8)$ and has a slope of $-3$. The equation should be in standard form, which is

1. **State the problem:** Given the table of values where $x = 1, 2, 3, 4, 5$ and corresponding $y = 33, 34, 35, 36, 37$, find the linear equation that relates $y$ to $x$. 2. **Ide

1. The problem is to find the missing values in the row labeled "k" in the table where the values increase by 5 each step. 2. We observe the pattern in the "k" row: 17, 22, 27, __,