1. Adding and Subtracting Integers
Review for Test #1

2. 3 + (-15)

3. ANSWER
Different signs subtract. Take the sign of the greater number, then you’ll be exact. -12

4. -7 + (-2)

5. ANSWER
Same signs, keep and add. -9

7. ANSWER
Different signs subtract. Take the sign of the greater number, then you’ll be exact. 5

8. -4 - 6

9. ANSWER
Use a number line. Go to the left when negative and to the left when subtracting. -10

10. - 5 – (-8)

11. ANSWER
Use a number line. Go to the left when negative and to the right if there’s a negative and subtraction together. - (-8) means do the opposite of subtracting = 3

12. The low temperature in Anchorage, Alaska, is -15°F wile the low temperature in Lindale, Texas is 32°F. Write an expression to find the difference between the low temperatures in Lindale and Anchorage, then solve.

13. ANSWER
32 – (-15) 47

14. Kyle received a notice from his bank that his account was overdrawn by $14. He made a deposit that brought his balance to $50. How much money did Kyle deposit?

15. ANSWER
-14 + x = 50 x = 64

16. A submarine travels 330 feet below sea level
A submarine travels 330 feet below sea level. If the submarine ascends 125 feet, what integer expresses the submarine’s new position?

17. ANSWER

18. When Bonita started driving at 4pm, the temperature was 12°F
When Bonita started driving at 4pm, the temperature was 12°F. When she arrived home at 10pm, the temperature was -5°F. What was the difference in the temperatures at 4pm and 10pm?

19. ANSWER
12 – (-5) 17

20. During the first round of a game, Ravi had a score of -27 points
During the first round of a game, Ravi had a score of -27 points. He earned 35 points in the second round. What was Ravi’s score after the second round?

21. ANSWER

22. By noon, the temperature increased 21 degrees from the morning low of -13°F. What was the temperature at noon?

23. ANSWER

24. A shark swims at a depth of 275 feet below sea level
A shark swims at a depth of 275 feet below sea level. After sighting a whale, the shark moves 190 feet closer to the surface. What integer represents the shark’s new depth?

25. ANSWER

26. Which best describes the classification for the following number set?{−
Counting Numbers
Whole Numbers
Integers
Rational Numbers

27. ANSWER
Rational Numbers- any number that can be written as a fraction is considered to be a rational number

28. Give the set of numbers below, which are classified as integers?
10 −

29. Answer
10, -2, and 0 The other numbers would be classified as rational numbers.

30. What value does point B represent on the number line
What value does point B represent on the number line? What is the opposite of point B? What is the absolute value of point B?

31. Answer
What value does point B represent on the number line? -7 What is the opposite of point B? 7 What is the absolute value of point B? 7 (Point B is 7 numbers away from zero.)

32. Mrs. Martin is thinking of 2 mystery numbers
Mrs. Martin is thinking of 2 mystery numbers. She gives 2 clues as shown in the table.
Clue 1:
The numbers are opposites.
Clue 2:
The distance between the numbers on the number line is 20.
What are the mystery numbers?
-5 and 5
-10 and 10
-15 and 15
-20 and 20

33. ANSWER Mrs. Martin is thinking of 2 mystery numbers
ANSWER Mrs. Martin is thinking of 2 mystery numbers. She gives 2 clues as shown in the table.
Clue 1:
The numbers are opposites.
Clue 2:
The distance between the numbers on the number line is 20.
What are the mystery numbers?
-5 and 5
-10 and 10
-15 and 15
-20 and 20

34. Which statement is NOT true about the number line?
Points L and H represent opposite integers.
The value of point G is equivalent to the absolute value of point M.
The value of point F is the opposite of the value of point N.
The absolute value of point I is the same as the absolute value of point J.

35. Answer Which statement is NOT true about the number line?
Points L and H represent opposite integers.
The value of point G is equivalent to the absolute value of point M. Point G has a value of -6 and the distance of point M from zero is 6. These are NOT equivalent values.
The value of point F is the opposite of the value of point N.
The absolute value of point I is the same as the absolute value of point J.

36. Arrange the following numbers in order from least to greatest.

37. Answer
-5, -2, -1, 0, 3

38. Write an equation that could be represented by the model shown.

39. ANSWER
Write an equation that could be represented by the model shown.
= -1
-4 – (-3) = -1