Coordinate Algebra Unit 1 Relationships Among Quantities
Name: ______Date: ______Block______
Understanding Fractions, Decimals and Percent’s
Directions: For each of the 9 problems below, fill in the missing value. Look at the column headings to know if your answer will be a fraction, decimal or percent. If your answer is a percent, it MUST include the % symbol. Be sure to write your fractions in lowest terms.
Fraction / Decimal / Percent78 / 0.875 / 1.
1920 / 2. / 95%
3. / 0.072 / 7.2%
5610000 / 4. / 0.56%
125 / 1.4 / 5.
6. / 0.165 / 16.5%
5625100 / 56.25 / 7.
4210000 / 8. / 0.42%
9. / 0.0055 / 0.55%
Accuracy, Precision, Tolerance
10. Jorge works in a mail room. To test the accuracy of the scales in the mail room, he uses a weight that is exactly 8 oz. and gets the following results:
Scale 1: 8.02 oz
Scale 2: 7.8988 oz
Scale 3: 8.015 oz
a. Which scale is the most precise?
b. Which scale is the most accurate?
11. Monique is cutting wooden slats that are to be 20 in. long. Three slats have the following lengths:
A: 19.96875 in.
B: 19.875 in.
C: 20.0625 in.
a. Which slat(s), if any, do not fall within a tolerance of 0.0625 in.?
b. Which slat(s), if any, do not fall within a tolerance of 0.5%?
Dimensional Anaylsis
12. A camper named Bob ran into aliens on a trail. Bob made friends with the aliens so he could steal their treasure of 1 zygot.
1 zygot = 3 trigots
3 trigots = 2 bigots
4 bigots = 1 gold gram
How many grams of gold did Bob take form the aliens?
13. Jolene went to the candy store and wanted to use dimensional analysis she had learned in class that day. She only had a certain amount to spend. In terms of price, she figured out the following conversion factors:
4 lollipops = 5 gumballs
9 gumballs = 8 lemonheads
16 lemonheads = 15 redhots
If Jolene knows she could by 12 lollipops, how many redhots could she buy for the same amount of money?
14. a student goes through seven class periods in school. Each period lasts 55 minutes. How many hours does he spend in class per week?