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.)