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1. (x3)5
Ax-15
Bx2
Cx8
Dx15
Ex-2
Fx-8


2. (x-3)5
Ax-15
B1/x15
Cx2
Dx-2
Ex15
Fx-8


3. x-2/y-4
Axy-2
B(xy)-2
Cxy2
Dxy4
E(xy)2
Fy4/x2


4. (4x2)-1
A16x-2
B4x-2
C1/16x2
D(4x)-2
E1/4x2
F16x2

5. (2/5x-2)-3
A125/8x6
B-8/125x6
C8/-125x6
D(125x6)/8
E125/-8x6
F125/8x-6


6. The planet Earth weighs 6.6 x 1021 tons. Write this number in standard notation.
AIt is already in standard notation
B13.86 * 10
C138.6
D1386
E6,600,000,000,000,000,000
F6,600,000,000,000,000,000,000


7. Venus is 67,000,000 miles from the sun. Write this number in scientific notation.
A6.7 x 107
B67 x 106
C670 x 105
D6700 x 104
E67,000 x 103
FIt is already in scientific notation.

8. Multiply the following numbers using scientific notation: (2 x 103)(2 x 104).
A2 x 107
B4 x 107
C4 x 1012
D4 x 101
E4 x 1034
F2 x 1012


9. Divide the following numbers using scientific notation: (4 x 102)/(1 x 103)
A5 x 105
B4 x 101
C4 x 105
D4 x 10-1
E5 x 101
F5 x 10-5


10. Perform the following calculation: (1 x 102)(2 x 103)/(1 x 102)
A4 x 103
B3 x 103
C2 x 104
D2 x 103
E2 x 101
F1 x 102


11. How many centimeters are in two kilometers? Give your answer in scientific notation.
A2 x 102
B1 x 105
C2 x 105
D2 x 103
E1 x 102
F3 x 102


12. How many grams are in 4,247 mg? Give your answer in standard notation.
A42.47
B4.247
C42
D4247
E424.7
F424


13. How many microliters are in a two liter bottle of soda? Write your answer in scientific notation.
A1 x 103
B1 x 106
C2 x 103
D2 x 105
E2 x 106
F3 x 104


14. Examine the following solution to a conversion problem. Do you see a mistake? If so, identify the location of the first mistake and explain why it is incorrect.



AThe conversion is not possible.
BThe first problem occurs in column (1). The problem should begin with mg.
CThe first problem occurs in column (2). 1 kg is not equal to 1000 g, so that should not be used as the conversion factor.
DThe first problem occurs in column (2). The conversion factor is upside down (grams should be on top, and kg should be on bottom).
EThe first problem occurs in column (4). The multiplication and division was performed incorrectly.
FNo mistakes.


15. Examine the following solution to a conversion problem. Do you see a mistake? If so, identify the location of the first mistake and explain why it is incorrect.



AThe first problem occurs in column (1). The problem should begin with cm.
BThe first problem occurs in column (2). 1 m is not equal to 1000 mm, so that should not be used as the conversion factor.
CThe first problem occurs in column (2). 1 m is not equal to 1000 mm, so that should not be used as the conversion factor.
DThe first problem occurs in column (4). The multiplication and division was performed incorrectly.
ENo mistakes.
FThis conversion is not possible.

16. Examine the following solution to a conversion problem. Do you see a mistake? If so, identify the location of the first mistake and explain why it is incorrect.



AThe first problem occurs in column (4). The multiplication and division was performed incorrectly.
BThe first problem occurs in column (3). Using scientific notation for one conversion factor, but not the other, is not allowed.
CThe first problem occurs in column (2). The units are not equal, so that should not be used as the conversion factor.
DThe first problem occurs in column (1). The problem should begin with cm.
EThis conversion is not possible.
FNo mistakes.


17. Examine the following solution to a conversion problem. Do you see a mistake? If so, identify the location of the first mistake and explain why it is incorrect.



ANo mistakes.
BThe conversion is not possible.
CThe first problem occurs in column (1). The problem should begin with L.
DThe first problem occurs in column (4). The multiplication and division was performed incorrectly.
EThe first problem occurs in column (3). We are not allowed to use a conversion factor of (1 L/ 1L).
FThe first problem occurs in column (2). 1 L is not equal to 1000 kL, so that should not be used as the conversion factor.


18. Estimate the length of a pen in centimeters.
Aabout 1 cm
Babout 2 cm
Cabout 5 cm
Dabout 13 cm
Eabout 23 cm
Fabout 30 cm


19. Estimate the amount of juice in a typical orange juice carton in liters.
Aabout 8 liters
Babout 5 liters
Cabout 4 liters
Dabout 3.5 liters
Eabout 2 liters
Fabout .5 liters


20. Estimate the weight of a small can of soup in grams.
Aabout 30 grams
Babout 500 grams
Cabout 250 grams
Dabout 325 grams
Eabout 750 grams
Fabout 100 grams

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