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 (B)

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 (A)</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 (D)</p> Signup and view all the answers

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

<p>True (A)</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 (C)</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 (B)</p> Signup and view all the answers

Flashcards

Adding two negative numbers

Adding two negative numbers will always result in a negative number.

Subtracting a negative number

Subtracting a negative number is the same as adding its positive counterpart.

Difference between two numbers

The difference between two numbers is the result of subtracting one from the other. It can be positive or negative depending on the positions of the numbers on the number line.

Distance between two points

To find the distance between two points, you subtract their values. Pay attention to the signs of the numbers involved.

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Centering an object

To center an object on a line, you need to calculate the halfway point. This point is equidistant from both ends of the line.

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Relative position

Finding a number's position relative to another point requires considering its direction and distance from the reference point.

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Approximating a number

To approximate a number, we round it to the nearest whole number or decimal place. The rounding method depends on the context and the desired level of precision.

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Number Properties

Understanding the properties of numbers, including their signs and magnitudes, is crucial for accurate arithmetic operations and understanding their relationships.

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What equation represents the relationship between calories burned and time spent jogging?

The equation y = 15x represents the relationship between the number of calories burned (y) and the number of minutes spent jogging (x).

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What was the old account balance in Account 4?

The old account balance in Account 4 is calculated by adding the transaction amount (-10) to the new account balance.

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

The numbers -10, -20, and -30 represent withdrawals from Account 5. Each number tells you how much money was withdrawn from the account.

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Which situation represents -7 + 11?

The expression -7 + 11 represents a situation where a temperature drops 7 degrees and then another 11 degrees. The final temperature is -18 degrees.

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Which number(s) make the statement true?

The expression -3.7 + 4.52 equals a positive number. -4.52 + 3.7 equals a negative number.

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Identify the numbers that make the statement true: + (-8) = 0

The equation + (-8) = 0 is true when 8 is added to -8. This is because 8 is the additive inverse of -8.

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How do you find the old account balance?

The table shows the new balance and the transaction amount for each account. To find the old balance, we need to reverse the transaction. Account 4 has a new balance of $100 and a transaction of -10. Therefore, the old balance was $110.

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Which number(s) make the statement true: + (-8) = 0?

The number -8 is the additive inverse of 8, so adding them together results in 0. -(-8) is the same as +8, and adding them together results in 16. 0 is the additive identity; adding it to a number does not change the number. Adding -8 to 0 results in -8. Therefore, only -8 makes the statement true.

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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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Math 7 Unit 2 Addition and Subtraction Past Paper PDF

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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