Contemporary Mathematics

# Chapter Test

### Chapter Test

1 .
Find the prime factorization of 300.
2 .
Tiles will be used to cover an area that is 650 cm × 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?
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