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.

  1. The temperature was 80 ^\circ \text{F} and then fell 20 ^\circ \text{F}.
  2. The temperature was \text-13 ^\circ \text{F} and then rose 9 ^\circ \text{F}.
  3. The temperature was \text-5 ^\circ \text{F} and then fell 8 ^\circ \text{F}.

Solution

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Problem 2

  1. The temperature is -2^\circ \text{C}. If the temperature rises by 15^\circ \text{C}, what is the new temperature?
  2. 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.

  1.  _____ < 7^\circ \text{C}
  2.  _____ < \text- 3^\circ \text{C}
  3.  \text- 0.8^\circ \text{C} < _____ < \text- 0.1^\circ \text{C}
  4.  _____ > \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?

  1. 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
  2. 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.)