2. 0.25 x 0.3 To figure out where the decimal point goes in the answer, count the number of digits AFTER the decimal point in the problem. 0.075 3 digits after the decimal point 3 digits after the decimal point

3. Remember the correct order of operations: ~Parenthesis ~Exponents ~Multiplication & Division (left to right) ~Addition & Subtraction (left to right) 4 2 - 4 16 - 4 4 8 feet wide 85 feet long 85 8 x 700

4. When going from Figure 4 to Figure 5, you add five dots. Notice the pattern in the chart… Add 2 Add 3 Add 4 Add 5 Add 6 For each new figure, you’re adding one more than you did the time before. In the associative property, the order the numbers & letters appear in does not change. Instead, the parenthesis are moved to a different location.

8. Sam’s MusicMelody Music $240 A 30% discount means that the store pays 30% of the cost, while the customer pays 70%..70 x $168 The $45 discount from Melody Music means you just simply subtract. - 45 $195 Sam’s is the better deal.

9. The MODE is the most common number. It’s possible to have more than one mode. This happens when there’s a tie for first place.

10. Scalene: Isosceles: Equilateral: Acute: Right: Obtuse: No sides are congruent. 2 sides are congruent. All sides are congruent. All angles are less than 90. One angle is equal to 90. One angle is greater than 90. Cost = (6)(b) + (12)(v) Cost = (6)(4) + (12)(5) Cost = 24 + 60 Cost = $84

11. The word CONSTANT means that the numbers must be decreasing at the SAME RATE each time. In this table, the output numbers are decreasing by 2 each time!

12. Answers will vary slightly. Here’s what I came up with… I decided this block would be 10 meters tall and 10 meters wide. 80 meters long 50 meters wide

13. 2 3 1 5 2 + 1 + 3 + 5 = 11

14. 4x + 18 = 38 Candy bars sold to friends Total candy bars sold 4x - 18 k -18 4x = 20 44 x = 5 Factors of 12Factors of 30 124 6 312 1 x 12 2 x 6 3 x 4 121015330 1 x 30 2 x 15 3 x 10 5 5 x 6 The largest number that appears in both lists is 6. 6

15. A good estimate would be in the mid-53’s. The times have been coming down slowly over the past forty years. There haven’t been a lot of big jumps in either direction. Way too slow.Way too fast.

16. To stadium (every :10) To zoo (every :16) 4:00 4:10 4:30 4:20 4:40 4:16 4:50 5:00 5:10 5:20 4:32 4:48 5:04 5:20 5:36 5:52 6:08 5:30 6:24 5:20 PM

17. Jim’s savings are definitely increasing. 8 2 x 2 64 x 2 128 Do the parenthesis first. Exponents come next. And finally, you multiply. Also, his savings are increasing by $25 each month. This is a constant rate of increase.

18. 4 units 3 units A 1 to 3 ratio would mean that the new triangle would have to have a base of 12 units and a height of 9 units.

19. 25’ 15’ Original play space: Perimeter = 80 inches Area = 375 inches 2 New play space: Perimeter = 160 inches Area = 1500 inches 2 Perimeter = 15+25+15+25 Area = 15 x 25 Perimeter = 30+50+30+50 Area = 30 x 50 50’ 30’ The perimeter of the new space is twice as large as the old perimeter. The area of the new space is four times as large as the old area. 160/80 = 2 1500/375 = 4

20. 20” long 4 7/8 ” is just barely less than 5” long. If the smaller pieces were exactly 5” long, we could cut the 20” ribbon into 4 pieces. We would still only be able to cut the ribbon into 4 pieces.

21. (80 votes total) 20 Park received about half of the 20 votes. This would be right around 10 votes. 80/4 = 20 Dividing the pie chart into quarters gives us 20 votes each. 8:68:6 (Divide them both by 2.) 4:34:3

22. $300 $450 Goal Amount raised = 1.50 150%

23. The advantage of the bar graph is that the cafeteria workers can see how many pizzas to make, how many tacos to make, etc. The number of students is clearly marked. The advantage of the circle graph is that the information appears in percentages. It’s a little easier to compare the food items with each other in this format. Also, if the students’ food choices start to change, it will be more noticeable on the circle graph.

24. This represents 2 ¼ units. Each of these ovals is ¾. At this rate, here’s what would happen… 1½ hours $120 3 hours $240 4½ hours $360 6 hours $480

25. Area of a triangle = ½(base)(height) Area of a triangle = ½ (30) (26) 30 x 20 would be 600. ½ of 600 is 300. An answer of 300 would be too small. 30 x 30 would be 900. ½ of 900 is 450. An answer of 450 would be too large.

26. 1 st layer5 blocks 2 nd layer10 blocks 3 rd layer15 blocks 4 th layer20 blocks 10 th layer50 blocks To get the 2 nd column, just multiply the 1 st column by 5. SquareRectangle Perimeter Area 32 cm 64 cm 2 48 cm 2 2x + 5 < 17 2x - 5 < -5 2x < 12 2 2 x < 6

27. (4 x 3) + (4 x 8) (12) + (32) 44 4 x (3 + 8) 4 x (11) 44 The best way to predict what will happen is to draw a straight line that goes through (or close to) as many points as possible. This is called the line of best fit.

28. This PowerPoint presentation brought to you by Mr. Jeff Luce Beachwood Middle School Enjoy and good luck!