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Contemporary Mathematics

Chapter Test

Contemporary MathematicsChapter 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 × ( 4 3 × ( 14 − 8 ) + 3 ) − 4 × ( 8 − 2 2 ) .
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 305 26 into a mixed number.
7 .
Convert 0. 659 ¯ to a fraction of integers.
8 .
Simplify the following square root: 6237 .
9 .
What is the conjugate of 4 − 10 ?
10 .
Rationalize the denominator of 2 10 + 13 .
11 .
What two sets of numbers comprise the real numbers?
12 .
Which property of the real numbers is shown: 4 ( a + 7 ) = 4 a + 4 × 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 ( 9 x a 2 ) 5 .
16 .
The moon is 3.844 × 10 8 m from Earth. A dollar bill has a thickness of 1.0922 × 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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