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

4. Since we have a right triangle, we can use the Pythagorean Theorem! 16 2 + 30 2 = (pathway) 2 256 + 900 = (pathway) 2 1156 = (pathway) 2 length of pathway = 34 feet If you take the square root on your calculator, you’ll get… 1156 = 34

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

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 total number of trials = 15 60 = 1 4 =

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

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

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

10. : 12 1 2 1 : 24 Multiply both sides by 2. 2 0.050.05 2 0.050.05

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

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

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

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

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

17. 3(15)2t + = 67

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

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

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

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) = 27 246 in 2 S. Area = Each side has an area of 36 in 2. 216 in 2 S. Area = 36 6 x This cube also has a volume of 216 cubic inches, but its surface area is less. 6 in.

24. 15% of $12 would be… (.15)(12) = $1.80 1.80 12.00 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. 3” 7”. 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 = = 864 in 2 (36)(24) Area of triangle = ½ (24)(24) = 288 in 2 The area of the other triangle is also 288 in 2. Total area = 864 + 288 + 288 = 1440 in 2

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. Player A would benefit the most. These are the lowest scores. Player A’s Averages (with Game #1) (without Game #1) Player B’s Averages (with Game #1) (without Game #1) 88 90 86 92 98 + 45 88 90 86 92 98 + 78 65 62 74 72 + 50 78 65 62 74 72 + 454 499 351 401 ÷ 6 ÷ 5 ÷ 6 ÷ 5 83.2 66.8 90.870.2 Dropping the lowest score increases Player A’s average by 7.6, while Player B’s average only goes up by 3.4 points. +7.6 +3.4

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

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

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

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 8 h 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 presentation brought to you by Mr. Jeff Luce Beachwood Middle School Enjoy and good luck!