Preálgebra preguntas y respuestas

Prior Learning (Unit 1 and/or grade 7): 1. Simplify the following using exponent laws (do not calculate or expand) a) \( 2^{3}\left(2^{4}\right) \)

3. If \( f(x)=\sqrt{7-x} \), then which of the following sets is the domain of this function? \( \begin{array}{lll}\square \text { A) } x \leq 7 & \square \text { B) } x \neq 7 \quad \square \text { C) } x \geq 0 \\ \square \text { D) } x \neq 0 & \square \text { E) } x \geq 7\end{array} \)

1- Resuelve las siguientes operaciones de radicales semejantes. Recuerda que debes descomponer en factores primos. 1. \( \sqrt{18}+\sqrt{50}-\sqrt{2}-\sqrt{8} \)

Body-mass index, or BMI, takes both weight and height into account when assessing whether an individual is underweight or overweight. BMI varies directly as one's weight, in pounds, and inversely as the square of one's height, in inches. In adults, normal values for the BMI are between 20 and 25 , inclusive. Values below 20 indicate that an individual is underweight and values above 25 indicate that an individual is overweight. A person who weighs 180 pounds and is 5 feet, or 60 inches, tall has a BMI of 35.15 . Use the four-step procedure for solving variations to determine what the BMI is, to the nearest tenth, for a 155-pound person who is 6 feet 1 inches tall. Is this person underweight, normal, or overweight? What is the BMI of a 155-pound person who is 6 feet 1 inches tall? (Round to the nearest tenth as needed.)

Arithmetic Sequence

Onkopur is a huge area. Water is supplied there using water tanks. There is a huge tank in the middle, others are smaller. Starting from the huge tank, water is supplied to the smaller tanks, then supplied further to other tanks - gradually supplied like this. The system is designed in such a way that water comes to a tank (excluding the huge one) from only one tank; and a tank either supplies water to 7 other tanks, or doesn't supply water at all. If there are a total of 2024 tanks in that area, then how many of them don't supply water?

Example 4:- simplify the following (i) \( 2^{12} \div 2^{5} \)

d) \( \frac{5}{2}-\frac{2}{7} \div\left(-2+\frac{3}{2}\right) \)

Write a ratio for the following word phrase. Write the fraction in lowest terms. 3 yd to \( 30 \mathrm{in} \).

\begin{tabular}{|l|}\hline a) \( \log _{2} 16= \) \\ \hline b) \( \log _{3} \frac{1}{27}= \) \\ \hline c) \( \log _{12} 144 \) \\ \hline d) \( \log _{100} 100 \) \\ \hline e) \( \log _{5} 625 \) \\ \hline f] \( \log _{\frac{2}{5}} \frac{25}{4}= \) \\ \hline\end{tabular}