Testinar Grade 7 math

Integers and Their Opposites

Students will build Grade 7 mastery of integers and their opposites using models, equations, and test-style reasoning.

CH03-01 The Number System
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. What is the opposite of \(-15\)?

    1. \(15\) (correct)
    2. \(-15\) (no sign change)
    3. \(0\) (neither opposite nor equal)
    4. \(|{-15}|\) (absolute value, not opposite)

  2. What is \(|-7|\)?

    Integers and Their Opposites visual for G7-C03-T01-Q002
    1. \(-7\) (confuses absolute value with the original number)
    2. \(-14\) (incorrectly applies a sign reversal)
    3. \(0\) (misplaces absolute value at the origin)
    4. \(7\) (correct; distance is always non-negative)

  3. Marcus walks \(12\) meters east. To return to his starting point, he must walk \(12\) meters west. Which number represents his westward walk?

    1. \(-12\) (opposite direction)
    2. \(12\) (same direction as eastward walk)
    3. \(0\) (no displacement)
    4. \(-24\) (double the distance in opposite direction)

  4. A bank account starts with a credit of $50. After a debit of $50, what is the account balance?

    1. \($100\) (adds both amounts instead of subtracting)
    2. \($50\) (ignores the debit)
    3. \(-$50\) (records only the debit)
    4. \($0\) (correct; opposites sum to zero)

  5. What is \((-9) + 9\)?

    Integers and Their Opposites visual for G7-C03-T01-Q005
    1. \(18\) (adds absolute values)
    2. \(9\) (ignores the negative sign)
    3. \(0\) (opposites sum to zero)
    4. \(-18\) (doubles negative)

  6. Temperature drops \(20\) degrees from \(10\) degrees. Express the drop (change) as a signed number.

    1. \(20\) (ignores the direction of change)
    2. \(30\) (adds instead of subtracts)
    3. \(-10\) (starting temperature)
    4. \(-20\) (correct; drop is negative change)

  7. What is the opposite of the opposite of \(11\)?

    Integers and Their Opposites visual for G7-C03-T01-Q007
    1. \(-11\)
    2. \(22\)
    3. \(0\)
    4. \(11\)

  8. A stock loses \(15\) points. Express this as a signed number.

    1. \(-15\) (correct; loss is negative)
    2. \(0\) (no change)
    3. \(15\) (ignores the loss/negative direction)
    4. \(-30\) (double the loss)
Teacher and parent reference

Answer key and explanations

  1. A. \(15\) (correct)

    The opposite of a number reverses its sign. The opposite of \(-15\) is \(15\). Note: the absolute value \(|-15| = 15\) looks the same but represents distance, not the additive inverse.

  2. D. \(7\) (correct; distance is always non-negative)

    The absolute value of any number is its distance from zero, which is always non-negative. \(|-7| = 7\).

  3. A. \(-12\) (opposite direction)

    If east is positive, then west is negative. Walking \(12\) meters west is represented by \(-12\).

  4. D. \($0\) (correct; opposites sum to zero)

    The credit of \(+50\) and debit of \(-50\) are opposites and sum to zero. This demonstrates the additive inverse property: \(50 + (-50) = 0\).

  5. C. \(0\) (opposites sum to zero)

    Opposites sum to zero: \(a + (-a) = 0\).

  6. D. \(-20\) (correct; drop is negative change)

    A decrease or drop is represented by a negative number. A \(20\)-degree drop is \(-20\).

  7. D. \(11\)

    The opposite of \(11\) is \(-11\). The opposite of \(-11\) is \(11\). So the opposite of the opposite returns you to the original number.

  8. A. \(-15\) (correct; loss is negative)

    A loss is represented by a negative number. A loss of \(15\) points is \(-15\).

Free Testinar sample Reviewed November 6, 2026 testinar.com
Page UP