Chapter 2
Study Guide
Essential Question:
WHAT happens when you add, subtract, multiply and divide integers?
How do you know if the answer will be positive or negative when you add or
subtract? Divide or multiply?
Key Concepts:
 Absolute Value (pgs. 46-51)
 Adding Integers (pgs. 55-60)
 Subtracting Integers (pgs. 63-67)
 Multiplying Integers (pgs. 71-76)
 Dividing Integers (pgs. 77-82)
 Graphing in the Four Quadrants (pgs. 83-87)
Important Vocabulary:
Absolute Value
Additive Inverse
Coordinate
Integers
Negative Number
Positive Number
Quadrants
Example Problems:
1) Simplify:
6−2(−6)
−2−(−4)
A. −9
B. −3
C. 3
D. 9
2) You have −30 points in a video game. You earn 5 points in one level and you earn 12
points in the next level. How many more points do you need to earn to have a net
score of 0 points?
3) What is the value of |−8 − 2|?
4) Consider the following: |𝑦| = 19. Which of the following integers could represent y?
I.
19
II.
18
III.
−19
IV.
−18
A. I only
B. III only
C. I and III only
D. III and IV only
5) Jainney saved $1200 for her first year of college. She spends $600 on flights, $500 on
books for the 1st semester, and $320 on furnishings for her dorm room. If Jainney
uses all of her savings, what will be the balance in her bank account after these
expenses?
6) Which symbol, <, >, or = makes the statement true?
7)
−25 • 8
4
–2(20)
8) Use a table of values to graph six sets of ordered integer pairs for the equation
7)
y -2x =1. Then, describe the graph. Can you predict how the
graph of y + 2x = 1 would differ?
8)
Identify the points on the coordinate plane that are located in Quadrant III.
Possible Short Answer Questions:
 Without adding, how o you know that the sum of 5, 4 and -4 is positive?

When multiplying more than two integers, how can you determine the sign of
the product?

If you write an expression involving the subtraction of a negative integer and
then you write an equivalent addition expression, why is the result the same?

How can you order the integers -12, -5, -15, -10 and -3 from least to greatest
without using a number line?

How does the location of the points (-7, 8) and (8, -7) change if you multiply
each of the coordinates in each ordered pair by -1?
Rules for Operation of integers