Here, the “2” is the base .

3. Here, the “2” is the base. The base is the thingthat gets repeated. The “9” is the exponent. The exponent tells us howmany times to repeat it. Therefore, 29 is actually 2*2*2*2*2*2*2*2*2 , which is 512. Most calculators have an exponent key.It usually looks like or . yx ^ Simply type 2^9 to get 512.

4. Since we have a right triangle, we can use the Pythagorean Theorem! 162 + 302 = (pathway)2 256 + 900 = (pathway)2 1156 = (pathway)2 If you take the square root on yourcalculator, you’ll get… length of pathway = 34 feet 1156 = 34

5. The easiest way to attack a problem like this is to plug in the values and eliminate the wrong answer choices. Now try the next set of values… Only two of theseformulas still work! Therefore, choices A and D are wrong. 5.50 = 2(2) + 3 5.50 = 7 5.50 = 2.5(2) + 0.5 5.50 = 5.5 5.50 = 2.25(2) + 1 5.50 = 5.5 5.50 = 2(2) + 2 5.50 = 6 8.00 = 2.5(3) + 0.5 8.00= 8 8.00 = 2.25(3) + 1 8.00= 7.75

6. This is a tricky question if you don’t read it carefully. Notice that they ask us for the experimental probability, not the theoretical probability. The theoretical probability actually is 1/6, but that’s a trick answer here. = = number of times the event occurs 15 1 = total number of trials 60 4

7. Remember the correctorder of operations: ~Parenthesis ~Exponents ~Multiplication & Division (L to R) ~Addition & Subtraction (L to R) . 20 – 6 4 20 24 -4

8. ¼ 2 4 in. in. = 1 ft. ft. w L Start by setting up a blankproportionwith your units labeled. First, we’ll find the lengthof the kitchen… …and now we’ll get the width: . . . . ¼ ¼ Length = 16 feet = = 4 4 w L 2 4 4 4 Width = 8 feet = w = 8 L 16

9. Since the equation is already inslope-intercept form, this will be easy! The +1 is they-intercept. x Graphs A & D don’t cross the y-axis there, so they must be incorrect. The 2 is theslope. The graph needs to rise up 2 units, and move 1 unit to the right each time. x

10. 1 2 : 12 2 2 0.05 0.05 Multiply bothsides by 2. 1 : 24

11. The mode is the most common number in the list. 65 appears three times in the list, so it’s the mode.

12. x 6 2 = x 3 (2)(x)=(6)(3) 2x = 18 x = 9

13. p = 4t + 2 50 = 4t + 2 - 2=4t- 2 48= 4t 4 4 12= t Sal will need 12 tables.

14. 1/2 -2 ÷ -4 2 -2 ÷ -1 -2 -2 ÷ 1 -2 ÷ 4 -1/2

16. In fact, Cleveland lost 37,000 peoplewhileToledo only lost 24,000 people. Cleveland and Toledo both decreased by 7%, but they didn’t lose the same number of people.

17. + 2t 3(15) =67

18. He’ll need 2 of these. ($13)(2) = $26 He’ll need 5 of these. ($5)(5) = $25 He’ll need 3 of these. ($8)(3) = $24 = $25 $100–26–25–24 At 2 lbs. for $9, salami is $4.50/lb. He can afford 5 lbs. of salami. $25 ÷ $4.50 = 5.55 lbs. Now the cheese is ($2.50)(6) = $15. $100–26–25–15 = $34 $34 ÷ $4.50 = 7.55 lbs. He can now afford 7 lbs. of salami.

19. 1 ft. 24 tiles = 6’ 20 tiles = 5’ 5’ Since there are 12 inches in 1 foot, it would take 4 of these tiles to make a foot. (24)(20) = 480 6’

20. The angles in a triangle always add up to 180o. Simply start with 180oand subtract the angles that you already know. 180 – 25–50 105

22. 5a + 5a + 5b 10a + 5b

23. Top: (3)(8) = 24 Bottom: (3)(8) = 24 Left: (9)(8) = 72 Right: (9)(8) = 72 Front: (3)(9) = 27 Back: (3)(9) = 27 S. Area = 246 in2 This cube also has a volume of 216 cubic inches, but its surface area is less. Each side has an area of 36 in2. 6 in. 36 6 x 6 in. 6 in. S. Area = 216 in2

24. 15% of $12 would be… = $1.80 (.15)(12) 12.00 1.80 10.20

25. 15% off means that the store pays 15% of the price, and the customer pays the remaining 85%.

27. $150 7 x $1050 + 430 bonus $1480 total pay $1480 ÷ 8 = $185 New average = $185 Old average = $150 up by $35

28. 7” 3” 3” Both shapes appear as circles when viewed from the top. The cone’s vertex may appear as a dot at the center. . When viewed from the front, the cone looks like a triangle and the cylinder looks like a rectangle.

29. Area of rectangle = (36)(24) = 864 in2 Area of triangle = ½(24)(24) = 288 in2 The area of the other triangle is also 288 in2. Total area = 864+288+288 = 1440 in2

30. 144,000 x .05 7,200

31. adding 6 each time adding 3 each time adding 4 each time A function is linear if it’s increasing or decreasing by the same amount each time. Choice B is non-linear because it’s being multiplied by 2 each time.

32. The spinner is 1/5 blue. (120)(1/5) = 24

33. Dropping the lowest score increases Player A’s average by 7.6, while Player B’s average only goes up by 3.4 points. These are the lowest scores. Player A’s Averages Player B’s Averages 88 90 86 92 98 78 65 62 74 72 (without Game #1) (without Game #1) (with Game #1) (with Game #1) 45 88 90 86 92 98 50 78 65 62 74 72 Player A would benefit the most. + + + + 454 ÷ 5 351 ÷ 5 499 ÷ 6 401 ÷ 6 90.8 70.2 +7.6 +3.4 66.8 83.2

34. First, turn this intoan improper fraction. 1 13 13 13 13 1 6 = 2 2 8 2 4 8 Then, take 1/4 of this value. Finally, turn it back into a mixed number. 5 1 8 =

36. …but only one way to do this. 8 possible options

37. y = -2x + 7 y = -2x + 7 y = -2(0) + 7 y = -2(3) + 7 y = 0 + 7 y = -6 + 7 When x = 0, y = 7 When x = 3, y = 1

38. 13 – (-1) = 14 13 – (-5) = 18 13 – (-8) = 21 Whenever you subtract a negative number, you end up adding. That’s why all three answers are larger than 13.

40. Start by making a proportion. h 5 h 8 32 = (8)(h)=(5)(32) 8h = 160 8 8 h = 20

41. Volume = (L)(W)(H) New Volume = (L)(3W)(2H) =6(L)(W)(H)

43. This PowerPoint presentationbrought to you by Mr. Jeff LuceBeachwood Middle School Enjoy and good luck!