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Write the letter for the correct answer in the blank at the right of each question. 1. Which expression is equivalent to (-4)(-4)(-4)(-4)? A. - 4 1 B. (-4 ) 4 C. 4 -2 D. (–4 ) 2

2. A golf ball is dropped from the top of a cliff. After 9 seconds the ball hits the ground. The distance in feet the ball traveled can be estimated by 16(9 ) 2 . About how far did the ball drop?

F. 81 feet H. 1296 feet G. 144 feet J. 2304 feet

3. Evaluate a 3 - b 2 + 18 if a = 4 and b = 8. A. -3 B. -21 C. 14 D. 18

4. Which expression represents 1 −

9 6 using a negative exponent?

F. - 6 -9 G. - 9 -6 H. 9 -6 J. 6 -9

5. What is the value of 6 k -4 if k = -1? A. -24 B. 1 C. 6 D. 24

6. Which expression is equivalent to 5 4 • 5 -5 ? F. - 1

− 5 G. 1

−

5 9 H. 1

− 5 J. 5 0

7. Which expression is equivalent to the product of s -8 • s ? A. 1

−

s 7 B. 8

−

s 8 C. - s 7 D. -8 s 9

8. An astronomer finds that the diameter of asteroid A is roughly 1 0 -3 kilometer, whereas the diameter of asteroid B is roughly 1 0 6 kilometers. About how many times as great is the diameter of asteroid B than asteroid A?

F. 1 0 -3 G. 1 0 3 H. 1 0 9 J. 1 0 918

Test, Form 2B

1.

2.

3.

4.

5.

6.

7.

8.

Program: Pre-Algebra

Vendor: Aptara

Component: CH04_CT

Grade: AMPDF_Pages

96 Math Accelerated • Chapter 4 Powers and Roots

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.Test, Form 2B (continued)

9. Which expression is equivalent to b 5 ? A. b 8

−

b 3 B. b 10

−

b 2 C. b 10

−

b -5 D. 5

−

b -5

10. Bacteria are among the smallest living things. Some of the largest bacteria measure 7.87 × 1 0 -5 inch across. Which value expresses this number in standard form?

F. 0.0000787 H. 0.00787 G. 0.000787 J. 787,000

11. Which number is less than 3.4 × 1 0 -4 ? A. 3.4 × 1 0 6 C. 3.4 × 1 0 2 B. 35,000 D. 3.4 × 1 0 -6

12. Which value for 6,902,500 miles is the best estimate for this distance?

F. 7 × 1 0 6 miles H. 70 × 1 0 8 miles G. 7 × 1 0 -6 mile J. 700 × 10 2 miles

13. The average weight of an African elephant is 1.44 × 1 0 4 pounds and that of a white rhinoceros is 7.94 × 1 0 3 pounds. What is the approximate difference in weight of these two animals?

A. 2.23 × 1 0 4 pounds C. 6.5 × 1 0 1 pounds B. 6.46 × 1 0 3 pounds D. 9.38 × 1 0 7 pounds

14. Find 3 √

�� 729 . F. 7 G. 9 H. 27 J. 32

15. Estimate √ �� 126 to the nearest tenth.

16. The diameter of Mars is about 7 × 1 0 6 meters. The diameter of an official regulation softball is 0.098 meter. About how many times greater is the diameter of Mars than that of a softball?

17. Between which two consecutive integers does √ � 87 lie?

18. Identify the irrational number(s) from the list of numbers.

2. − 3 , 4 6 −

7 , √ � 47 , 14 −

3

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

Program: Pre-Algebra

Vendor: Aptara

Component: CH04_CT

Grade: AMPDF_Pages

Math Accelerated • Chapter 4 Powers and Roots 97

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