Adding & Subtracting Integers I — Solutions

1. Number Line Orientation

   1. Greater of −3, −7: −3 ▶ View Solution
   2. Smaller of 0, −4: −4 ▶ View Solution
   3. 4 units left of 1: −3 ▶ View Solution
   4. 6 units right of −3: 3 ▶ View Solution
   5. Distance from −2 to +5: 7 units ▶ View Solution
   6. Distance from −8 to −2: 6 units ▶ View Solution

2. Vocabulary & Logic

   1. Starting position in −4 − 6: −4 ▶ View Solution
   2. Operation symbol in −4 − 6: The minus sign between −4 and 6 ▶ View Solution
   3. Negative always smaller than positive: True ▶ View Solution
   4. Walking backwards while facing right moves toward negatives: True ▶ View Solution

3. Adding Positives (Starting Negative)

   1. −5 + 2: −3 ▶ View Solution
   2. −8 + 8: 0 ▶ View Solution
   3. −1 + 4: 3 ▶ View Solution
   4. −10 + 6: −4 ▶ View Solution
   5. −3 + 7: 4 ▶ View Solution
   6. −7 + 3: −4 ▶ View Solution
   7. −2 + 10: 8 ▶ View Solution
   8. −6 + 1: −5 ▶ View Solution

4. Subtracting Positives (Starting Positive)

   1. 4 − 6: −2 ▶ View Solution
   2. 2 − 7: −5 ▶ View Solution
   3. 10 − 15: −5 ▶ View Solution
   4. 5 − 5: 0 ▶ View Solution
   5. 3 − 10: −7 ▶ View Solution
   6. 8 − 12: −4 ▶ View Solution
   7. 1 − 4: −3 ▶ View Solution
   8. 9 − 20: −11 ▶ View Solution

5. Subtracting Positives (Starting Negative)

   1. −1 − 4: −5 ▶ View Solution
   2. −5 − 3: −8 ▶ View Solution
   3. −2 − 6: −8 ▶ View Solution
   4. −8 − 2: −10 ▶ View Solution
   5. −4 − 5: −9 ▶ View Solution
   6. −10 − 5: −15 ▶ View Solution
   7. −3 − 7: −10 ▶ View Solution
   8. −7 − 4: −11 ▶ View Solution

6. The Lift (Elevator) Challenge

   1. Start −2, up 5: Floor 3 ▶ View Solution
   2. Start 6, down 10: Floor −4 ▶ View Solution
   3. Start −1, down 3: Floor −4 ▶ View Solution
   4. Floors from −5 to 2: 7 floors ▶ View Solution

7. Temperature Shifts

   1. −4°C + 10°C rise: 6°C ▶ View Solution
   2. 2°C − 7°C fall: −5°C ▶ View Solution
   3. −15°C + 5°C rise: −10°C ▶ View Solution
   4. −1°C − 8°C fall: −9°C ▶ View Solution

8. Directional Expressions

   1. Start −9, right 4: −5 ▶ View Solution
   2. Start 2, left 6: −4 ▶ View Solution
   3. Start −3, right 3: 0 ▶ View Solution
   4. Start −5, left 5: −10 ▶ View Solution

9. Crossing Zero Check

   1. −3 + 2 crosses zero: No ▶ View Solution
   2. −3 + 5 crosses zero: Yes ▶ View Solution
   3. 4 − 6 crosses zero: Yes ▶ View Solution
   4. −1 − 4 crosses zero: No ▶ View Solution
   5. −10 + 15 crosses zero: Yes ▶ View Solution
   6. 5 − 3 crosses zero: No ▶ View Solution

10. Exam Challenge

    1. x − 5 = −2; find x: x = 3 ▶ View Solution
    2. −4 + n = 3; find n: n = 7 ▶ View Solution
    3. Balance (−$20 + $50): $30 ▶ View Solution
    4. Correct answer for −4 − 2: −6 ▶ View Solution