1. Warm-up Nov. 5 Fill in your participation grade sheet (in the basket). Place it next to the basket when you have completed the sheet. (2 minutes) Place all of your quizzes, tests, and graded hw into your folder. Place folder on the round table in the back. (2 minutes) I will collect your notebooks Friday. HW: Finish quarterly review PowerPoint

2. Enough Already! Created for you by Ms. Nhotsoubanh Aim: To review for your quarterly

3. Take 3 sheets of paper and lay the papers like the diagram below. about ½ in Fold the papers to look like the diagram 5 tabs

4. Label the front cover and the tabs Quarterly Review Print your name Date: Nov. 5 #s 1 - 4 #s 5 - 7 #s 8 - 12 #s 13 - 17 #s 18 - 22

5. #s 1 - 4 #s 5 - 8 #s 9 - 12 #s 13 - 16 #s 17 - 25 1. 2. 3.4.

6. 1. Michael is 26 years old and Justin is 12 years old. In how many years will Michael be twice as old as Justin will be then? Old = 2(young) 26 + x = 2(12 + x) 26 + x = 24 + 2x -x -x 26 = 24 + x -24 -24 2 = x Answer: In 2 years. Present Age Future Age Justin 1212 + x Michael 2626 + x

7. 2. The length of a rectangle is 3 inches more than its width. If the length is decreased by 5 and the width is increased by 1 inch, the perimeter of the rectangle is 46 inches. What is the length, in inches, of the original rectangle? 46 = 2(x – 2) + 2(x + 1) 46 = 2x – 4 + 2x + 2 46 = 4x – 2 +2 48 = 4x 4 4 x = 12 Length = 15 in. orig. x + 3 x new x + 3 – 5 x + 1

8. 3. Madison has $4.70 in nickels and quarters. In all, she has 30 coins in her wallet. Find the number of each kind of coin she has. 5(30 – x) + 25x = 470 150 – 5x + 25x = 470 150 + 20x = 470 -150 -150 20x = 320 20 20 x =16 16 Quarters 14 Nickels valueamount Nickels 530 – x = 5(30 – x) Quarters 25x = 25x

9. 45x = 60(x – 1) 45x = 60x – 60 -60x -15x = -60 -15 -15 x = 4 The car will catch up to the truck in 3 hours 4. A truck traveling at a constant rate of 45 miles per hour leaves Inversetown. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Inversetown traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway? R T= D Truck 45x = 45x Car 60x – 1 = 60(x – 1)

10. 5.

11. 6. The roots of the equation: 2x 2 + x  15 are 2x 2 + x  15 -15 -15 2x 2 + x – 15 = 0 (2x – 5)(x + 3)  0 2x – 5 = 0 x + 3 = 0 +5 +5 x = -3 2x = 5 2 2 x  {5/2, -3}

12. xy -5 -4 -3 -2 0 1 -8 -3 0 1 0 -8 x = -2 y = -x 2 – 4x – 3

13. 8. Solve: 0.6(p – 3) = 0.9p + 1.6 – 0.1p Answer: 10[0.6(p – 3) = 0.9p + 1.6 – 0.1p] 6(p – 3) = 9p + 16 – 1p 6p – 18 = 8p + 16 -6p -6p -18 = 2p + 16 -16 -16 -34 = 2p 2 2 -17 = p

14. 9. Solve for x in the equation below. 8 + 2(3 x + 9) = 6 x – 10 Answer: 8 + 2(3x + 9) = 6x – 10 8 + 6x – 18 = 6x – 10 -10 + 6x = 6x – 10 Identity all real numbers

15. 10. Solve for n : 2(5 n + 7) = 3(4 n ) 10 n + 14 = 12 n -10 n 14 = 2 n 2 2 n = 7 Cross multiply A.) 3.5 B.) 7 C.) -8 D.) 10

16. 11. Which is an illustration of the associative property? A.) ab = ba B.) a(b + c) = ab + ac C.) a(bc) = (ab)c D.) a + 0 = a

17. 12. Divide the coefficients and subtract the exponents. Choice 1

18. 13. Solve for x. (4 x – 2) – 2 x = 4 – 5(4 x – 2) – 30 x = 60 – 6 x 20 x – 10 – 30 x = 60 – 6 x -10 x – 10 = 60 – 6 x +10 x -10 = 60 + 4 x -60 -60 -70 = 4 x 4 4 x = 17.5 5 3

19. 1)(3x – 3)(x – 2) 2)(3x + 3)(x – 2) 3)3(x + 1)(x – 2) 4) 3(x – 1)(x – 2) 14. When factored completely, the expression 3x 2 – 9x  6 is equivalent to Factor completely means factor out the gcf 1 st then factor the trinomial

20. A.) 5a C.) B.) D.) 15. What is the multiplicative inverse of -5a? Choice B Multiplicative inverse means the same thing as reciprocal (if the number is not a fraction make it into a fraction and flip it).

21. 16. Choice 2

22. 17. If 2 n represents an even integer, the next consecutive even integer is represented by D.2 n + 2 To get the next consecutive even integer, you add 2 to the original number A. 4 n B. n + 2 C. 2 n + 1 D. 2 n + 2 A. 4 n B. n + 2 C. 2 n + 1 D. 2 n + 2

23. 1)0 and 9 2)0 and  9 3)0 and 3 4)0 and  3 18. The roots of the equation: 3x 2 – 27x  0 are 3x 2 – 27x  0 3x(x – 9)  0 3x = 0 x – 9 = 0 3 3 x = 9 x = 0 x  {0, 9}

24. A.) addition B.) subtraction C.) multiplication D.) division 19. Under which operation is the set of even integers not closed? Answer : division The quotient is not an even integer.

25. 20.

26. 21. 1)1 2)2 3)5 4)4 Isolate the radical. Square both sides of the equation to get rid of the radical sign then solve for x.

27. 22.