Math 7 Unit 2 Part A: Addition and Subtraction
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Questions and Answers

Which statement is true? (Select all that apply)

  • 2.3 + (−2.3) is equal to zero. (correct)
  • (−3.7) + (−4.1) is positive.
  • 72 − (−100) is negative.
  • 5.2 + (−2.5) is negative. (correct)
  • −2.6 − (−4) is positive. (correct)
  • The difference in height between the pelican and the heron is -33 feet.

    False

    Explain Laila's error regarding her estimation of Kelcy’s position.

    Laila added incorrectly the depths; the correct calculation should consider total depth as -14.3 - 5.8 + 3.2 = -16.9 meters.

    The expression y - x when x = -11 and y = -11.8 is __________.

    <p>-11.8 + 11</p> Signup and view all the answers

    Match the following calculations with their results:

    <p>x + y = -22.8 x - y = 0.8 y + x = -22.8 y - x = 0</p> Signup and view all the answers

    The expression -2.6 - (-4) is positive.

    <p>True</p> Signup and view all the answers

    What is the result of (-3.7) + (-4.1)?

    <p>-7.8</p> Signup and view all the answers

    Which equation calculates the total calories William burns (y) if he jogs for (x) minutes?

    <p>y = 5x</p> Signup and view all the answers

    The expression -7 + 11 represents the number of passengers decreasing by 4.

    <p>True</p> Signup and view all the answers

    What do the numbers -10, -20, and -30 indicate about Account 5?

    <p>-10, -20, and -30 indicate that Account 5 has overdrawn by those amounts, meaning the account is in deficit.</p> Signup and view all the answers

    -3.7 + ______ = a positive number

    <p>any number greater than 3.7</p> Signup and view all the answers

    Which of the following could explain the expression -4.52 + [blank] = a negative number?

    <p>any positive number</p> Signup and view all the answers

    Match the numbers to their correct meanings in the context of Account 5.

    <p>-10 = The account is overdrawn by 10 units -20 = The account is overdrawn by 20 units -30 = The account is overdrawn by 30 units</p> Signup and view all the answers

    Identify one number that satisfies the equation ⃞ + −8 = 0: ⬜ ______

    <p>8</p> Signup and view all the answers

    What is the old account balance in Account 4?

    <p>Insufficient information</p> Signup and view all the answers

    Study Notes

    Math 7 Unit 2 Part A: Addition and Subtraction

    • Problem 1: Select all true statements involving addition and subtraction of integers and decimals.

      • 2.3 + (-2.3) = 0 is true
      • (-3.7) + 4.1 is positive
      • 2.6 - (-5/2) is positive
      • 5/2 + (-2.5) is negative
      • 72 + (-100) is negative
    • Problem 2: A heron is 50 feet above sea level, a pelican is 17 feet above sea level, and a trout is 23 feet below sea level. Identify the difference in height between the pelican and the heron.

      • The difference in height is 33 feet
    • Problem 3: Kelcy is scuba diving. He stops 14.3 meters below the surface, then swims down 5.8 meters more, then swims up 3.2 meters.

      • Laila's error: She incorrectly sums the numbers (14 - 6 + 3 = 11).
      • Calculation is 14.3 - 5.8 + 3.2 = 11.7
      • Kelcy's final position is 11.7 meters below the surface
    • Problem 4: x = 11/8 and y = -11/4. Evaluate which expression does NOT have a negative value.

      • The expression that does not have a negative value is x + y
    • Problem 5: Kymani wants to place a picture frame in the center of a 14 1/4 feet wide wall. The picture is 2 1/2 feet wide. Calculate the distance(s) from each side of the wall.

      • The frame must be 5 3/4 feet from each wall side.
    • Problem 6: A graph shows the relationship between the number of minutes William jogs and the number of calories he burns. Choose the correct equation to calculate the total calories.

      • The equation is y = 5x
    • Problem 7: A table displays transactions for five bank accounts.

      • Part A: Find the old account balance of account 4.
        • The old balance for account 4 is 75
      • Part B: Explain numbers -10, -20, and -30
        • These numbers represent withdrawals from account 5.
    • Problem 8: Which of the following situations accurately describes the numeric expression -7+11?

      • Option C correctly describes the expression: at a bus stop, 7 people get on a bus, 11 get off.
    • Problem 9: Select numbers to complete the sentences based on addition of negative and positive numbers

      • -3.7 + -4.9 = -8.6
      • -4.9 or -5.4. Combined results in a negative value
      • -5.4 + -4.52 = -9.92
    • Problem 10: Select the values that result in zero

      • -8 and 8
      • -(-8)
      • (0)

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    Description

    Test your understanding of addition and subtraction with integers and decimals in this Math 7 quiz. Solve problems involving heights and scuba diving scenarios to reinforce your calculations with positive and negative numbers. Challenge yourself to identify true statements and evaluate expressions.

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