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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Standards: 7.NS.A.1a, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d · Level: Grade 7
Problem 1 Opposites and Zero Sums
(a) −17: 17 + (−17) = 0.
(b) 9: −9 + 9 = 0.
(c) 0: 0 + 0 = 0.
(d) 2.5: −2.5 + 2.5 = 0.
Answer: −17, 9, 0, 2.5; every sum is 0
Problem 2 Adding on a Number Line
Start at −7 and move 9 units right, passing 0 after 7 steps and ending 2 steps later.
Answer: −7 + 9 = 2
Problem 3 Adding Two Negatives
Same signs: add 6 + 7 = 13 and keep the negative sign.
Answer: −13
Problem 4 Mixed Signs
Different signs: 19 − 12 = 7. The larger absolute value belongs to −19, so the sign is negative.
Answer: −7
Problem 5 Morning Warm-Up
−4 + 11 = 7.
Answer: 7°F
Problem 6 Account Deposit
−25 + 60 = 35.
Answer: $35
Problem 7 Subtracting a Larger Number
5 − 12 = 5 + (−12).
12 − 5 = 7, and the negative number is larger in size, so the sign is negative.
Answer: −7
Problem 8 Three Subtractions
(a) −9 − 4 = −9 + (−4) = −13.
(b) −9 − (−4) = −9 + 4 = −5.
(c) 9 − (−4) = 9 + 4 = 13.
Answer: −13, −5, 13
Problem 9 Adding the Opposite
−15 − (−22) = −15 + 22.
22 − 15 = 7, and 22 has the larger absolute value, so the sign is positive.
Answer: 7
Problem 10 Diver’s Elevation
After rising: −38 + 15 = −23.
After descending: −23 − 20 = −43.
Answer: −43 feet
Problem 11 Decimal Sums and Differences
(a) 5.2 − 3.7 = 1.5, positive because 5.2 is larger: 1.5.
(b) −2.4 − 1.9 = −2.4 + (−1.9) = −4.3.
Answer: 1.5 and −4.3
Problem 12 Fraction Sums and Differences
(a) −34 + 24 = −14.
(b) 26 − 56 = −36 = −12.
Answer: −14 and −12
Problem 13 Distance Between Two Points
|8 − (−13)| = |8 + 13| = 21.
Check: from −13 to 0 is 13, and from 0 to 8 is 8; 13 + 8 = 21.
Answer: 21 units
Problem 14 Distance with Decimals
|−2.25 − (−5.5)| = |−2.25 + 5.5| = |3.25| = 3.25.
Answer: 3.25 units
Problem 15 Temperature Changes in a Day
6 AM to noon: 14 − (−9) = 23.
Noon to midnight: −6 − 14 = −20.
6 AM to midnight: −6 − (−9) = 3. Check: 23 + (−20) = 3.
Answer: +23°F, −20°F, +3°F
Problem 16 Checking Account Balance
After the purchase: 75.20 − 98.60 = −23.40.
After the deposit: −23.40 + 50.00 = 26.60.
After the fee: 26.60 − 12.50 = 14.10.
Answer: −$23.40, $26.60, $14.10; final balance $14.10
Problem 17 Hiker’s Elevation
Climb: 1,240 − (−85) = 1,325.
Descent: −20 − 1,240 = −1,260.
Start to end: −20 − (−85) = 65. Check: 1,325 + (−1,260) = 65.
Answer: +1,325 ft; −1,260 ft; +65 ft overall
Problem 18 Missing Numbers
(a) ? = 6 − (−14) = 20. Check: −14 + 20 = 6.
(b) ? + 9 = −3, so ? = −3 − 9 = −12. Check: −12 − (−9) = −3.
(c) 8 + (−?) = 15, so −? = 7 and ? = −7. Check: 8 − (−7) = 15.
Answer: 20, −12, −7
Problem 19 Football Yard Line
After each play: 7; 7 − 12 = −5; −5 + 5 = 0; 0 − 9 = −9; −9 + 14 = 5; 5 − 3 = 2.
The lowest value is −9.
Answer: 7, −5, 0, −9, 5, 2; lowest position −9 yards
Problem 20 Submarine Depth
After rising: −85.5 + 32.75 = −52.75.
After diving: −52.75 − 60.25 = −113.
Distance from start: |−113 − (−85.5)| = |−27.5| = 27.5.
Answer: −113 meters; 27.5 meters from the start