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

2. 1. If s varies directly as t and s = 7 when t = 3.5, find s when t = 4. 3.5 = 0.5 7 t = 0.5s 4 = 0.5s 0.5 s = 8 A.) 4.5 B.) 7.5 C.) 8 D.) 8.5 A.) 4.5 B.) 7.5 C.) 8 D.) 8.5

3. 2. Two numbers are in the ratio 2:5. If 6 is subtracted from their sum, the result is 50. What is the larger number? Let 2x = smaller # 5x = larger # (2x + 5x) – 6 = 50 7x – 6 = 50 +6 +6 7x = 56 7 7 x = 8 Answer: 5(8) = 40 A.55 B.40 C.50 D.60 A.55 B.40 C.50 D.60

4. 3. What is the value of the expression 2 x 2 − 5 x + 6 when x = −2? 2(-2) 2 – 5(-2) + 6 2(4) + 10 + 6 8 + 10 + 6 18 + 6 24 A.4 B.-2 C.-12 D.24 A.4 B.-2 C.-12 D.24

5. A.) 39.2 B.) 225 C.)  10.5 D.) 25 4. The formula for converting temperatures in degrees Celsius to degrees Fahrenheit is F = (C + 32). If the temperature is 13°C, what is the temperature in degrees Fahrenheit? Answer: (13 + 32) (45) (simplify the 45 & 9) 25

6. A.) addition B.) subtraction C.) multiplication D.) division 5. Under which operation is the set of even integers not closed? Answer : division The quotient is not an even integer.

7. 6. 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

8. 7. Adam estimates the measurement of the volume of a popcorn container to be 282 cubic inches. The actual volume of the popcorn container is 289 cubic inches. What is the relative error of Adam’s measurement to the nearest thousandth ? Answer: A Actual: 289 Measured: 282 = 0.024 Answer: A Actual: 289 Measured: 282 = 0.024 Difference is 7

9. 8. 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

10. 9. Michael is 26 years old and James is 12 years old. In how many years will Michael be twice as old as James 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 James 1212 + x Michael 2626 + x

11. 10. 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

12. 11. Maria 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

13. 2x + 40 40° 64° 12. Find the value of x. 40° = 40° vertical <s 180° in a triangle The sum of the 2 remote angles = the exterior angle (2x + 40) 2x + 40 = 64 + 40 2x + 40 = 104 -40 -40 2x = 64 2 2 x = 32 40° 76°

14. 13. 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. 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 14. 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)

16. 15. 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

17. 16. 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

18. 17. 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. 18. Courtney wants to buy a handbag that has a retail price of $789.95. She has a 15% coupon. If there is a 8.6% sales tax, how much will Courtney spend on the handbag? Discount = % (of) = 0.15(789.95) Discount = $118.49 Sale price = 789.95 -118.49 671.46 Answer: Courtney spent $729.21 on the handbag. Tax = % (of) = 0.086(671.46) Tax = $57.75 Total w/tax = 671.46 +57.75 $729.21

20. A.) 5a C.) B.) D.) 19. 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. 20. The table below shows three different types of candy. Which package has the lowest candy price, per ounce? Type Candy Weight (in ounces) Package Price Reese’s Pieces 10$1.60 Skittles8$1.80 Starburst12$2.04 Answer: $1.60 = $0.16/oz 10 $1.80 = $0.23/oz 8 $2.04 = $0.17/oz 12 The lowest price is Reese’s Pieces