Integers Quiz
Questions: 16 · 10 minutes
1. A diver is at an elevation of -6 meters and rises 14 meters. What is the diver’s new elevation?
-20 meters, treating the rise as another downward move
8 meters, because -6 + 14 equals 8
-8 meters, subtracting the smaller magnitude but keeping a negative sign
20 meters, adding both magnitudes as positive distances
2. Which list places the integers in order from least to greatest?
-6, -2, 0, 5
-2, -6, 0, 5
0, -2, -6, 5
5, 0, -2, -6
3. A temperature is -12°C. What is its distance from 0°C on the number line?
24 units, because the temperature is doubled
-12 units, because the coordinate is negative
12 units, because distance is the absolute value
0 units, because both points refer to temperature
4. A team loses 6 points in each of 7 rounds. What is the total score change?
-13 points, combining the number of rounds and the loss by addition
42 points, multiplying but treating every loss as a gain
-42 points, since seven changes of -6 total 7 × (-6)
1 point, finding the difference between seven and six
5. On a number line, how do -3 and -8 compare?
-3 is greater because it lies to the right of -8.
They are equal because both values have negative signs.
-8 is greater because it is farther from zero.
Their order cannot be determined until both signs are removed.
6. An elevator starts on floor 2 and descends 7 floors. If underground floors use negative integers, where does it stop?
Floor -9, found by making both the start and movement negative
Floor 9, treating the descent as positive addition
Floor 5, subtracting two floors from seven
Floor -5, because 2 - 7 equals -5
7. What is the sum of -9 and -4?
-5, obtained by comparing the absolute values
-13, found by adding the magnitudes and keeping the negative sign
5, found by subtracting four from nine
13, found by ignoring both negative signs
8. Which option is an integer?
-7, a negative whole number
3/4, a value between zero and one
√2, an irrational value
2.5, a terminating decimal
9. Evaluate -3 + 4 × (-2), following the order of operations.
-14, from adding -3 and 4 before multiplying
-11, because 4 × (-2) is -8 and -3 + (-8) is -11
2, from multiplying after combining the unsigned values
-2, from applying the negative sign only at the end
10. A change of -56 points is divided equally across -7 identical adjustments. What is the value of each adjustment?
8, because -56 divided by -7 has a positive result
-7, obtained by reversing the divisor and quotient
7, using the divisor’s magnitude as the result
-8, keeping a negative sign despite dividing two negatives
11. Which quotient results from dividing 45 by -9?
Positive 5, using the correct magnitude but not the sign rule
Negative 4, reducing the magnitude by one
Positive 4, changing both the magnitude and sign
Negative 5, because a positive divided by a negative is negative
12. Which value is equal to -5 - (-9)?
-14, treating subtraction of a negative as ordinary addition of negatives
4, because subtracting -9 is equivalent to adding 9
-4, reversing the correct sign after finding the difference
14, adding both magnitudes and making the result positive
13. The temperature is -4°C. It rises by 9°C and then drops by 3°C. What is the final temperature?
-16°C, treating both changes as decreases
-2°C, applying the rise in the wrong direction before the drop
2°C, because -4 + 9 - 3 equals 2
8°C, adding the magnitudes of all three values incorrectly
14. A bank account has $4 before an $11 fee is deducted. What is the new balance?
-$15 after adding the fee to the debt side
$7 after subtracting the smaller amount from the larger
$15 after combining the two amounts as credits
-$7 because 4 - 11 equals -7
15. In a game, a player loses 6 points for each of three wrong answers and then earns 25 points. Starting at 0, what is the final score?
-43 points, treating the later gain as another loss
19 points, subtracting only one six-point penalty
-7 points, reversing the order of the gain and total penalty
7 points, because 3 × (-6) + 25 equals 7
16. What is the product of -8 and -3?
-24, assuming the product of two negatives remains negative
-11, combining the factors through addition
24, because the product of two negative integers is positive
11, adding the absolute values instead of multiplying