Lesson 3
Changing Elevation
Problem 1
What is the final elevation if
- A bird starts at 20 m and changes 16 m?
- A butterfly starts at 20 m and changes -16 m?
- A diver starts at 5 m and changes -16 m?
- A whale starts at -9 m and changes 11 m?
- A fish starts at -9 meters and changes -11 meters?
Solution
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Problem 2
One of the particles in an atom is called an electron. It has a charge of -1. Another particle in an atom is a proton. It has charge of +1. The charge of an atom is the sum of the charges of the electrons and the protons. A carbon atom has an overall charge of 0, because it has 6 electrons and 6 protons and \(\text- 6 + 6 = 0\). Find the overall charge for the rest of the elements on the list.
charge from electrons |
charge from protons |
overall charge |
|
---|---|---|---|
carbon | -6 | +6 | 0 |
neon | -10 | +10 | |
oxide | -10 | +8 | |
copper | -27 | +29 | |
tin | -50 | +50 |
Solution
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Problem 3
Add.
\(14.7 +28.9\)
\(\text-9.2 + 4.4\)
\(\text-81.4 + (\text-12)\)
\(51.8 + (\text-0.8)\)
Solution
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Problem 4
Last week, the price, in dollars, of a gallon of gasoline was \(g\). This week, the price of gasoline per gallon increased by 5%. Which expressions represent this week's price, in dollars, of a gallon of gasoline? Select all that apply.
\(g + 0.05\)
\(g + 0.05g\)
\(1.05g\)
\(0.05g\)
\((1+0.05)g\)
Solution
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(From Unit 4, Lesson 8.)Problem 5
Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
-
Annie’s Attic is giving away $5 off coupons.
original price sale price $15 $10 $25 $20 $35 $30 -
Bettie's Boutique is having a 20% off sale.
original price sale price $15 $12 $25 $20 $35 $28
Solution
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(From Unit 2, Lesson 7.)