Name Date

Test B

Evaluate the expression.

1. 72

1 5 ^ ^ 6

2. (-3)^

5. 8̂ - 8^

3. 1

6. - v4y

1 You run — mile on Sunday. On each day after the weekend, you run s5 times as far as you did the day before.

a. HOW far do you run Monday? b. Write aM,evaluate an expression to find the distanpe^ou run

5 days aftef'^unday (Friday). Round to the nejpc?^ tenth of a mile. 8. The kinetic energy ftKjoules of a 50 kilogjaffi runner running at

V meters per second is nlo^eled by t h p ^ u a t i o n E = 25v^. a. Write and simplify an expr^gfon for the kinetic energy of a runner

running at 3v meters pep8€cond>4s it three times as great as the kinetic energy at v m€fers per secotK^ Explain your reasoning.

b. The^inetic energy of a runner running at v meters ^ s e c o n d iV/O joules. What is the runner's kinetic energy at 3v meters per second?

Simplify the expression.

9.

12.

/ 3 V —w

v4 y

5'a 4 „ 2

10.

5'a 13. (3^x%-2xf

11.

14.

15. The distance between two towns is 80 kilometers, or 8 x 10^ centimeters. On a map the distance is 40 centimeters. How much larger is the actual distance than the map distance?

Answers

ZM3 \3H

31 / 3 C

10.

11.

12.

13.

14.

o-

\ 15. 2 7̂ ID^ QT

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Name Date

(continued)

16. There are 10 ^ meters in a centimeter. How many square meters are there in a square centimeter?

Simplify. Write the expression using only posftive exponents.

17. Iz -3 4z -5 18. llx-'' 5x -4 19. (ab) -3

Write the number in standard form.

20. 7.05 X 10^ 21. 2.0 x 10^' 22. 4.773 X 10^ 23. At Mercury's closest approach to the sun it is 46,000,000 kilometers

away. At its farthest distance it is 69,800,000 kilometers away. a. Write the distance range using scientific notation.

b. Is Mercury ever 5.8 x 10^ kilometers from the sun? ^ - 6 <^

24. The image of a dust mite from a scanning electron microscope is 1.5 X 10^ millimeters wide. The image is 5 x 1 0 ^ times life size. How many millimeters wide is the dust mite?

Multiply. Write your answer in scientific notation.

25. (4.0 X 1 0 ' ) X (2.5 X 10^) 26. (6.0 x 10"^) x (l.5 x 10 '^ )

27. (8.3 X 10^) X (3 X 10"^) 28. (5.5 x 10^) x (8.0 x 10^)

Answers 16. \ S -̂w\. 17.

18.

19.

20. D S D . OOP

21.

22. '-{'Y^\300.000

23. a. See left.

b.

24.

25. _

26. ^ V 10

27.

28.

29. a. See left.

c. 6o (pvtfccs 29. The eye of a needle is 0.1 centimeter wide, 0.3 centimeter tall, and

0.05 centimeter deep.

a. Write the dimensions in scientific notation. cV>^ "V)^ " b V I'D VirvN l o ^ b. Find the volume of the eye of the needle, assuming it is rectangular.

Write your answer in scientific notation. c. An artist installs minuscule bits of glass each of which has a volume of

0.00003 cubic centimeter. How many will fit in the eye of the needle?

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Big Ideas Math Blue 105 Assessment Book