Chapter Test
1.
Find the prime factorization of 300.
2.
Tiles will be used to cover an area that is 650 cm Ă— 1,200 cm. What is the largest size square tile that can be used so that all the tiles used are full tiles?
3.
Calculate the following: 3 \times \left( {\frac{4}{3} \times (14 - 8) + 3} \right) - 4 \times \left( {8 - {2^2}} \right).
4.
What does PEMDAS stand for?
5.
David’s tax return is for $1,560. He decides to spend 20% of that return. How much does David spend?
6.
Convert \frac{{305}}{{26}} into a mixed number.
7.
Convert 0.\overline {659} to a fraction of integers.
8.
Simplify the following square root: \sqrt {6237}.
9.
What is the conjugate of 4 - \sqrt {10}?
10.
Rationalize the denominator of \frac{2}{{10\,+\,\sqrt {13} }}.
11.
What two sets of numbers comprise the real numbers?
12.
Which property of the real numbers is shown: 4\left( {a + 7} \right) = 4a + 4 \times 7?
13.
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)?
14.
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?
15.
Simplify {\left( {\frac{{9x}}{{{a^2}}}} \right)^5}.
16.
The moon is 3.844 \times {10^8} m from Earth. A dollar bill has a thickness of 1.0922 \times {10^{ - 4}} m. If dollar bills could be stacked perfectly, how many would it take to reach the moon?
17.
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?
18.
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?
19.
Alice deposits $2,500 in a bond yielding 6% interest compounded annually. How much is the bond worth in 20 years?
20.
What is the 15th term of a geometric sequence with first term 5 and common ratio 3?