3.13.7: Chapter Test

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Chapter Test

Find the prime factorization of 300.

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?

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 /**/\frac30526/**/ 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}/**/?

10.

Rationalize the denominator of /**/\frac{2}

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/**/.

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

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} \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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Chapter Test