Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
These 20 problems cover standards 7.NS.A.1a to 7.NS.A.1d: opposites that sum to 0, adding on a number line, subtracting as adding the opposite, and distance as an absolute value.
Early problems use integers on a number line. Later ones use decimals and fractions in contexts such as temperature, elevation and bank balances.
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 ★★★
Write the opposite of each number, and show that each number and its opposite add to 0.
- 17
- −9
- 0
- −2.5
Problem 2 Adding on a Number Line ★★★
Use the number line to find −7 + 9.
Problem 3 Adding Two Negatives ★★★
Find −6 + (−7).
Problem 4 Mixed Signs ★★★
Find 12 + (−19).
Problem 5 Morning Warm-Up ★★★
At dawn the temperature is −4°F. It rises 11°F by noon. What is the temperature at noon?
Problem 6 Account Deposit ★★★
A bank account has a balance of −$25. A deposit of $60 is made. What is the new balance?
Problem 7 Subtracting a Larger Number ★★★
Find 5 − 12 by rewriting it as an addition.
Problem 8 Three Subtractions ★★★
Evaluate each expression.
- −9 − 4
- −9 − (−4)
- 9 − (−4)
Problem 9 Adding the Opposite ★★★
Rewrite −15 − (−22) as an addition problem and evaluate it.
Problem 10 Diver’s Elevation ★★★
A diver is at −38 feet. She rises 15 feet and then descends 20 feet. What is her final elevation?
Problem 11 Decimal Sums and Differences ★★★
Find each value.
- −3.7 + 5.2
- −2.4 − 1.9
Problem 12 Fraction Sums and Differences ★★★
Find each value.
- −34 + 12
- 13 − 56
Problem 13 Distance Between Two Points ★★★
Find the distance between −13 and 8 on the number line.
Problem 14 Distance with Decimals ★★★
Find the distance between −5.5 and −2.25 on a number line.
Problem 15 Temperature Changes in a Day ★★★
The temperature in a mountain town was −9°F at 6 AM, 14°F at noon, and −6°F at midnight. Find the change from 6 AM to noon, from noon to midnight, and from 6 AM to midnight.
Problem 16 Checking Account Balance ★★★
An account starts at $75.20. A purchase of $98.60 is made, then a deposit of $50.00, then a fee of $12.50. Find the balance after each step and the final balance.
Problem 17 Hiker’s Elevation ★★★
A hiker starts at an elevation of −85 feet, climbs to 1,240 feet, and then descends to −20 feet. Find the change in elevation on the climb, on the descent, and from the start to the end.
Problem 18 Missing Numbers ★★★
Find the missing number in each equation.
- −14 + ? = 6
- ? − (−9) = −3
- 8 − ? = 15
Problem 19 Football Yard Line ★★★
A team’s plays gain or lose yards: +7, −12, +5, −9, +14, −3. Find the team’s position relative to the starting line after each play, and the lowest position reached.
Problem 20 Submarine Depth ★★★
A research submarine is at −85.5 meters. It rises 32.75 meters, then dives 60.25 meters. Find its final depth and the distance between its final position and its starting position.
