3.12.6: Chapter Test
Find the prime factorization of 300.
Tiles will be used to cover an area that is \(650 \mathrm{~cm} \times 1,200 \mathrm{~cm}\). What is the largest size square tile that can be used so that all the tiles used are full tiles?
Calculate the following: \(3 \times\left(\frac{4}{3} \times(14-8)+3\right)-4 \times\left(8-2^2\right)\).
What does PEMDAS stand for?
David's tax return is for \(\$ 1,560\). He decides to spend \(20 \%\) of that return. How much does David spend?
Convert \(\frac{305}{26}\) into a mixed number.
Convert \(0 . \overline{659}\) to a fraction of integers.
Simplify the following square root: \(\sqrt{6237}\).
What is the conjugate of \(4-\sqrt{10}\) ?
Rationalize the denominator of \(\frac{2}{10+\sqrt{13}}\).
What two sets of numbers comprise the real numbers?
Which property of the real numbers is shown: \(4(a+7)=4 a+4 \times 7\) ?
Georita believes it will take 30 hours for her and her family to drive to their vacation. If they leave at \(2: 00\), what time should they arrive (ignore AM/PM)?
Suppose a bacterium in the gut has a generation time (time to divide) of 16 hours. If it first divides at 4:00, what time will it be when they divide the 80th time afterward?
Simplify \(\left(\frac{9 x}{a^2}\right)^5\).
The moon is \(3.844 \times 10^8 \mathrm{~m}\) from Earth. A dollar bill has a thickness of \(1.0922 \times 10^{-4} \mathrm{~m}\). If dollar bills could be stacked perfectly, how many would it take to reach the moon?
A single long table can seat 8 people, 3 on each side and 1 on each end. If a second table is added to the first, end to end, then 14 people can sit at the table, 6 per side and 1 at each end. Adding another table adds another 6 people. How many people can sit at a table made by placing 10 of these tables end to end?
The first row of a theater seats 25 people. Each following row seats 2 more people. If there are 80 rows in the theater, how many people, total, can sit in the theater?
Alice deposits \(\$ 2,500\) in a bond yielding \(6 \%\) interest compounded annually. How much is the bond worth in 20 years?
What is the 15th term of a geometric sequence with first term 5 and common ratio 3 ?