🧮 algebra

1. **Problem statement:** Find the dimensions of the smallest square that can be tiled using 18 cm by 24 cm tiles without cutting.

1. The problem asks if the ordered pairs plotted on the graph represent a function. 2. A function is a relation where each input (x-value) corresponds to exactly one output (y-valu

1. **Problem Statement:** Find the domain and range of the function represented by the points (-4, 2), (-5, 9), (0, 6), (4, 3), and (6, -4). 2. **Domain:** The domain is the set of

1. **State the problem:** Solve the system of linear equations: $$-2x - y = -9$$

1. **State the problem:** Solve the system of linear equations: $$-5x - 8y = 17$$

1. The problem asks: "There's only one range what is it?" This is ambiguous without context, but typically in math, "range" refers to the set of possible output values of a functio

1. The problem is to convert mixed radicals or numbers into entire radical form. 2. The formula to convert a mixed radical $a \sqrt[n]{b}$ into an entire radical is:

1. **State the problem:** We need to find the domain and range of the given graph. 2. **Domain:** The domain is the set of all possible $x$-values for which the graph is defined.

1. **Problem 2:** Solve the equation $$\frac{x - 10}{4} = -5 = 20$$. This looks like a formatting issue. Assuming the problem is $$\frac{x - 10}{4} = -5$$ (since the extra = 20 is

1. **Stating the problem:** Solve the equation $\frac{x}{4} + 6 = 9 = 12$. This looks like a typo or confusion because there are two equal signs. We will solve the first equation $

1. The problem is to solve the equation $$\frac{x+7}{6} = 1$$. 2. To solve for $x$, multiply both sides by 6 to cancel the denominator:

1. Let's start by stating the problem: factoring an algebraic expression in Algebra 2. 2. The general approach to factoring involves finding common factors, recognizing special pro

1. **Problem Statement:** Find the domain and range of the function based on the graph description. 2. **Domain:** The domain is the set of all possible $x$-values for which the fu

1. **State the problem:** Find values of $a$ and $b$ such that the piecewise function $$

1. **Problem statement:** We need to find how many bags of fertilizer to buy so that the total weight of ammonium nitrate is at least 12 lb, phosphates at least 8 lb, and potash at

1. The problem asks for the cost of the flooring after a 20% discount. 2. The original cost without discount is given as $596.4.

1. **State the problem:** We need to find how much taller the 7-year-old bush is compared to the 4-year-old bush based on the scatter plot data. 2. **Identify the heights from the

1. The problem is to simplify the expression $(2m^2)^{-1} / m^2$. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$.

1. **State the problem:** Simplify the expression $$\frac{9(x-5)-2(y-3)}{6-3}+A$$. 2. **Apply the distributive property:** Multiply inside the parentheses:

1. **State the problem:** Verify if the simplification of question 11 is correct. Given expression: $$\frac{(2m^2)^{-1}}{m^2}$$

1. **State the problem:** We need to find expressions for the dimensions of a rectangular prism whose volume is given by the polynomial $$x^3y + 63y^2 - 7x^2 - 9xy^3$$. 2. **Recall