7th Grade Adding and Subtracting Rational Numbers Test with Point Values (PDF)

7th Grade math test: Adding and Subtracting Rational Numbers – Maths PDF

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This add subtract rationals test for 7th Grade covers adding and subtracting rational numbers (Common Core 7.NS.A.1), with a free PDF to print.

This 45-minute test checks adding and subtracting integers, fractions, and decimals, including number line models, opposites, and absolute value as distance (Common Core 7.NS.A.1). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Adding and Subtracting Rational Numbers
Standards: 7.NS.A.1
Time: 45 minutes
Total: 20 points

Add subtract rationals test: questions

Question 1 – Integer sums [2 pts]

Find each value. (a) \(-14+9\) (b) \(6-(-8)\) (c) \(-11-5\) (d) \(-7+(-13)\)

Question 2 – Number line model [2 pts]

Start at -3.

Use the number line to show the sum \(-3+7\). Write the result and describe the move.

Question 3 – Decimals [2 pts]

Find (a) \(-4.8+2.35\) and (b) \(-0.6-1.75\).

Question 4 – Fractions [2 pts]

Find (a) \(-\frac{2}{3}+\frac{3}{4}\) and (b) \(\frac{1}{2}-\left(-\frac{5}{6}\right)\).

Question 5 – Distance [2 pts]

Points A and B.

Points A and B are shown. Write an expression for the distance between A and B using absolute value, then find the distance.

Question 6 – Additive inverse [2 pts]

The sum of two numbers is 0. One of the numbers is \(-6.2\). Name the other number, and explain how you know using the number line.

Question 7 – Mixed operations [2 pts]

Find \(-\frac{3}{4}+1\frac{1}{2}-\frac{2}{3}\).

Question 8 – Temperature story [3 pts]

Morning temperature in degrees F.

At 6 a.m. the temperature was \(-6^{\circ}\text{F}\). It rose 15 degrees by noon and then fell 6 degrees by 6 p.m. (a) Find the noon temperature. (b) Find the 6 p.m. temperature. (c) Find the change from 6 a.m. to 6 p.m.

Question 9 – Lunch account [3 pts]

Priya’s lunch account.

Complete the balance column. Then tell on which day the account was overdrawn and by how much.

Key facts behind this add subtract rationals test

Key facts

Opposites add to 0: \(p + (-p) = 0\).
Same signs: add sizes and keep the sign. Different signs: subtract sizes and keep the sign of the larger size.
Subtracting \(q\) means adding the opposite of \(q\).
\(|p|\) is the distance from p to 0.
The distance between p and q on a number line is \(|p – q|\).

How to use this add subtract rationals test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 7 chapters: Grade 7 math.

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