Name: ________________________________ Period: __________ Date: __________________
Unit 2: The Number System ~ Test Review
Directions: ANSWER each question marked with a . THEN, include an example of the topic and
a worked out solution in the table below each question. (Use examples from class work, hmwk, etc!)
7.NS.1A
I.
Numbers and their Opposites
 What are additive inverses?
 Describe a situation in which opposite quantities combine to make 0.
Example(s)
II.
Solution(s)
Absolute Value
 What is the definition of absolute value?
 How can you use absolute value to find the distance between a positive and negative number
on a number line?
Example(s)
Solution(s)
7.NS.1B
III.
Adding Rational Numbers
 Explain how you add numbers when both signs are the same (both positive or both negative)?
Use the term “absolute value” in your explanation.
Integer Example
Solution(s)
Decimal Example
Solution(s)
Fraction Example
Solution(s)
 Explain a strategy for adding numbers when the signs of the numbers are different (one
positive and one negative)? Use the term “absolute value” in your explanation.
o When will your answer result in a positive number?
o When will your answer result in a negative number?
Integer Example
Solution(s)
Decimal Example
Solution(s)
Fraction Example
Solution(s)
7.NS.1C
IV.
Subtracting Rational Numbers
 Explain how to rewrite a subtraction problem into an addition problem that will work for all
cases.
Positive – Positive Example
Solution(s)
Positive – Negative Example
Solution(s)
Negative – Positive Example
Solution(s)
Negative – Negative Example
Solution(s)
7.NS.2A
V.
Multiplying Rational Numbers
 What rule can you write for multiplying a positive and a negative integer?
Integer Example
Solution(s)
Decimal Example
Solution(s)
Fraction Example
Solution(s)
 What rule can you write for multiplying two negative integers?
Integer Example
Solution(s)
Decimal Example
Solution(s)
Fraction Example
Solution(s)
 What if you have more than 1 negative sign? Without actually multiplying or dividing, when
would a product/quotient be negative? When would a product/quotient be positive?
7.NS.2B
VI.
Dividing Rational Numbers
 What rule can you write for dividing a positive and a negative integer?
Integer Example
Solution(s)
Decimal Example
Solution(s)
Fraction Example
Solution(s)
 What rule can you write for dividing two negative integers?
Integer Example
Solution(s)
Decimal Example
Solution(s)
Fraction Example
Solution(s)
 Rewrite this expression in two other ways so that you have the same quotient 
1
5
Practice:

56
8
1 . )  3 (  9)
2.)
1
1
5.)  5   2
4
3
6.) 9   4.8
3. )
7. )14.4  3.2
7.NS.2D
VII.

5 3

6 4
Terminating and Repeating Decimals
Example(s) of a rational number that has a
terminating decimal
Solution
Example(s) of rational number that has a
repeating decimal
Solution
1 1
4. ) 1  4
7 2

8.)
57.2
2.2
7.RP.1
VIII. Complex Fractions and Unit Rates
If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?
 Write the scenario as a complex fraction, then solve. Be sure to include labels.
 Use your answer from part 1 to determine how many miles a person can walk in 3 hours?
Store A sells potatoes $
3
9
7
5
for lb . Store B sells potatoes $ for lb .
4
8
8
4
 Set up each store as a complex fraction, and then find each unit rate. Be sure to include
labels.
 Which store has the better buy?
7.NS.1D & 7.NS.2c
IX.
Order of Operations
Practice: