This 45-minute test covers adding and subtracting integers, decimals, and fractions, plus distance on a number line (7.NS.A.1). It has nine questions worth 20 points in all. Show your work, and include units and signs in every answer.
Test information
- Grade: Grade 7
- Chapter: Adding and Subtracting Integers and Rational Numbers
- Common Core: 7.NS.A.1a, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 3 pts; Question 9: 2 pts)
Question 1: Opposites (2 points)
- Write the opposite of \(-13\). (1 point)
- Find \(-18.5 + 18.5\). (1 point)
Question 2: Equation from a Number Line (2 points)
The number line shows a jump that starts at \(-5\).
Write the addition equation the number line shows.
Question 3: Adding Integers (2 points)
Find each sum.
- \(-14 + 9\) (1 point)
- \(-8 + (-6)\) (1 point)
Question 4: Subtracting Integers (2 points)
Find each difference.
- \(7 – 15\) (1 point)
- \(-3 – (-9)\) (1 point)
Question 5: Decimals and Fractions (2 points)
Evaluate each expression.
- \(-2.75 + 1.5\) (1 point)
- \(-\frac{1}{2} – \frac{3}{4}\) (1 point)
Question 6: Overnight Temperatures (2 points)
The thermometer shows the temperature at midnight. By noon it had risen \(15^{\circ}\text{F}\). By evening it had fallen \(11^{\circ}\text{F}\) from the noon temperature.
- Find the noon temperature. (1 point)
- Find the evening temperature. (1 point)
Question 7: Distance Between Points (3 points)
Points \(A\) and \(B\) are plotted on the number line.
- Find the distance between \(A\) and \(B\). (2 points)
- Point \(C\) is \(5.5\) units to the right of \(B\). Find the coordinate of \(C\). (1 point)
Question 8: Account Balance (3 points)
Jamal\’s account balance is \(-\$18.40\). He makes the two transactions on the receipt.
- Find the balance after the deposit. (1 point)
- Find the balance after the purchase. (1 point)
- How much more must Jamal deposit to reach a balance of \(\$0\)? (1 point)
Question 9: Find the Error (2 points)
Liam wrote \(-6 – (-2) = -8\).
- Explain Liam\’s error. (1 point)
- Find the correct value. (1 point)
See every chapter on the Grade 7 math page.



