Lesson 6
Changing Temperatures
Problem 1
Draw a diagram to represent each of these situations. Then write an addition expression that represents the final temperature.
- The temperature was \(80 ^\circ \text{F}\) and then fell \(20 ^\circ \text{F}\).
- The temperature was \(\text-13 ^\circ \text{F}\) and then rose \(9 ^\circ \text{F}\).
- The temperature was \(\text-5 ^\circ \text{F}\) and then fell \(8 ^\circ \text{F}\).
Solution
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Problem 2
- The temperature is -2\(^\circ \text{C}\). If the temperature rises by 15\(^\circ \text{C}\), what is the new temperature?
- At midnight the temperature is -6\(^\circ \text{C}\). At midday the temperature is 9\(^\circ \text{C}\). By how much did the temperature rise?
Solution
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Problem 3
Complete each statement with a number that makes the statement true.
- _____ < \(7^\circ \text{C}\)
- _____ < \(\text- 3^\circ \text{C}\)
- \(\text- 0.8^\circ \text{C}\) < _____ < \(\text- 0.1^\circ \text{C}\)
- _____ > \(\text- 2^\circ \text{C}\)
Solution
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(From Unit 7, Lesson 1.)Problem 4
Match the statements written in English with the mathematical statements. All of these statements are true.
Solution
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(From Unit 7, Lesson 5.)Problem 5
Evaluate each expression.
- \(2^3 \boldcdot 3\)
- \(\frac{4^2}{2}\)
- \(3^1\)
- \(6^2 \div 4\)
- \({2^3}-{2}\)
- \({10^2}+{5^2}\)
Solution
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(From Unit 4, Lesson 13.)Problem 6
Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
-
The number of wheels on a group of buses.
number of buses number of wheels wheels per bus 5 30 8 48 10 60 15 90 -
The number of wheels on a train.
number of train cars number of wheels wheels per train car 20 184 30 264 40 344 50 424
Solution
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(From Unit 5, Lesson 4.)