1. 1st 9 Weeks Study Guide 7 Grade
*Print PPT on 4/6 slides a page. (CUT apart and Use like index question cards for activity) . Pass one random answer card and one random question card to each student. Ss must solve their own question card and then go find the person holding their answer. Swap question/answer with the partner
*Carosel: Print each slide. Post each slide somewhere around the room. Have groups of students start at each poster and solve. Write their solutions down. Rotate groups of students to the posters around the room.

2. −𝟐 𝟏 𝟏𝟏 = ______
Convert to a decimal

3. 𝟑𝟐 𝟏𝟐𝟓 = ______
Convert to a decimal .

4. 𝟏 𝟏𝟐 = ______
Convert to a decimal

5. What is the value of the expression?
-(-4) - 4

6. What is the value of the expression?
15 -(- 3)

7. What is the value of the expression?
14 -(-14)

8. What is the value of the expression?
-(-50) + (-5)

9. Add or subtract. Write in simplest form.
( )

10. Add or subtract. Write in simplest form.
5 6 −( − )

11. Add or subtract. Write in simplest form.

12. Add or subtract.

13. Add or subtract.
6.24 -(- 8.1)

14. Model each expression on the number line provided, then state the value of the expression.

15. Model each expression on the number line provided, then state the value of the expression.

16. Model each expression on the number line provided, then state the value of the expression.
-4 + 2

17. Model each expression on the number line provided, then state the value of the expression.

18. (-4)(4)(-1)

19. -3• -2 •-2

20. 6 •-11

21. 45 −3

22. (-1)(− 1 2 )

23. 39 ÷ -3

24. - (−10) 5

26. Indicate if the product or quotient will be positive or negative
Indicate if the product or quotient will be positive or negative. No need to work these problems, just use what you know about the signs and place a check under the correct column!
Positive Negative
(-x)(-x)(-x) ____ ____
(-x)/y ____ ____
(-x)/(-y) ____ ____
x/(-y) ____ ____
-1 • x • y • ____ ____
-(-2)/(-4) ____ ____

27. A quarterback is sacked for a loss of 5 yards
A quarterback is sacked for a loss of 5 yards. On the next play, his team loses 15 yards. Then the team gains 12 yards. What integer can be used to explain the net gain or loss of the three plays?

28. In golf, scores are often stated as the number of strokes above or below par for the course. Four golfers played two rounds of golf during the weekend. The table lists their scores for each round in relation to par.
a. Find the difference between James’s Round 2 score and Diane’s Round 2 score.
b. Find the difference between Patrick’s two scores.

29. Lilly has a $100 gift card to her favorite pastry shop
Lilly has a $100 gift card to her favorite pastry shop. She spends $4 a day at the shop for 12 days. How much money does she have left on the gift card?

30. Milk is sold by the gallon. One gallon of milk will serve 20 children
Milk is sold by the gallon. One gallon of milk will serve 20 children. If Pamela needs to serve 52 children, how many gallons of milk will she need to buy at the store?

31. b. 3 and 14 Expression: Distance:
Write an expression that could be used to find the distance between each point on a number line. Then state the distance.
a. -20 and -16 Expression: Distance:
b. 3 and 14 Expression: Distance:
c. -1 and 7 Expression: Distance:
d. 15 and -2 Expression: Distance:

32. |5| + |-7| = ____

33. -|-5| + |7| = ____

34. a. P(star) Write your answer as a decimal: ________
Describe the likelihood of this event happening? ______________
b. P(circle) Write your answer as a percent: ________
c. P(square or star) Write your answer as a fraction: ________

35. |-5 – (-7)| = ____

36. |-7 - (-5)| = ____

37. -|7| = ____

38. -|7| = ____

39. What is the additive inverse (opposite) of each number?

40. Mr. Thomas writes an expression on the board.
Which scenario could represent this expression?
A. Tina has $7 in her purse. She returned a hair brush and gains $7.
B. Tina owes her parents $7. The next day, she borrows another $7 from them.
C. Tina has $7 in her purse. She buys breakfast for $7.
D. Tina has $0 in her purse. Tina borrows $7 from her friend to go to the movies

41. When each outcome is equally likely, the model would be considered….
Uniform
Non-uniform
Experimental
Theoretical

42. Label each spinner as uniform or non-uniform.

43. a. P(C) _________________________________
b. P(D) _________________________________
c. P(A) _________________________________
d. P(A or B) _________________________________
e. P(B) _________________________________
f. P(A, B, or C) _________________________________

44. Serena is playing a game with a number cube
Serena is playing a game with a number cube. To win the game, she must roll the number 4 on her next roll. The table shows the number of times she has rolled each number so far.
a. What is the sample space of the number cube?
b. Is this a uniform or non-uniform model?
c. Find the theoretical probability that Serena will land on a 4 to win the game.
Write your answer as a fraction, decimal, and percent.
P(4) = fraction: _____ decimal: _____ percent: _____
d. Find the experimental probability that Serena will land on a 4 to win the game.

45. A bag contains 5 green shirts, 9 black shirts, and 10 purple shirts
A bag contains 5 green shirts, 9 black shirts, and 10 purple shirts. You ask a friend to pick one without looking. If your friend puts the hat back into the bag each time, how many times can she expect to pull out a black shirt if she does this 250 times?
A. Exactly 37 times
B. Close to 37 times but probability not exactly 93
C. Exactly 93 times
D. Close to 93 times but probability not exactly 93