Enough Already!Created for you by Ms. NhotsoubanhAim: To review for your quarterly

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

3.5 = 0.5 7

t = 0.5s4 = 0.5s0.5 0.5s = 8

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?55405060

Let 2x = smaller # 5x = larger #(2x + 5x) 6 = 50 7x 6 = 50 +6 +6 7x = 56 7 7 x = 8 Answer: 5(8) = 40

3. What is the value of the expression 2x2 5x + 6 when x = 2?4-2-1224

2(-2)2 5(-2) + 6 2(4) + 10 + 6 8 + 10 + 6 18 + 6 24

A.) 39.2 B.) 225C.) 10.5 D.) 25

4. The formula for converting temperatures in degrees Celsius to degrees Fahrenheit is F = (C + 32). If the temperature is 13C, what is the temperature in degrees Fahrenheit?

Answer: (13 + 32) (45) (simplify the 45 & 9) 25

A.) addition B.) subtractionC.) multiplication D.) division

5. Under which operation is the set of even integers not closed?The quotient is not an even integer.

Answer: division

6. Which is an illustration of the associative property?

A.) ab = baB.) a(b + c) = ab + acC.) a(bc) = (ab)cD.) a + 0 = a

Answer: A Actual: 289Measured: 282

= 0.024Difference is 7

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?orig.x + 3xnewx + 3 5 x + 1

46 = 2(x 2) + 2(x + 1)46 = 2x 4 + 2x + 246 = 4x 2+2 +248 = 4x 4 4x = 12Length = 15 in.

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 AgeJames1212 + xMichael2626 + x

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

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 = 470150 5x + 25x = 470 150 + 20x = 470 -150 -150 20x = 320 20 20 x =1616 Quarters 14 Nickels

valueamountNickels530 x = 5(30 x)Quarters25x = 25x

2x + 404064 Find the value of x.40 = 40 vertical

13. Solve for x in the equation below. 8 + 2(3x + 9) = 6x 10

Answer: 8 + 2(3x + 9) = 6x 10 8 + 6x 18 = 6x 10 -10 + 6x = 6x 10 Identity all real numbers

45x = 60(x 1) 45x = 60x 60 -60x -60x-15x = -60 -15 -15 x = 4The 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= DTruck45x= 45xCar60x 1 = 60(x 1)

15. Solve for n:

2(5n + 7) = 3(4n)10n + 14 = 12n-10n -10n 14 = 2n 2 2 n = 7Cross multiply

16. If 2n represents an even integer, the next consecutive even integer is represented by2n + 2To get the next consecutive even integer, you add 2 to the original numberA. 4nB. n + 2C. 2n + 1D. 2n + 2

Solve for x. (4x 2) 2x = 4 5(4x 2) 30x = 60 6x 20x 10 30x = 60 6x -10x 10 = 60 6x +10x +10x -10 = 60 + 4x -60 -60 -70 = 4x 4 4 x = 17.553

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? Tax = % (of) = 0.086(671.46) Tax = $57.75

Total w/tax = 671.46 +57.75 $729.21

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).

20. The table below shows three different types of candy. Which package has the lowest candy price, per ounce?

TypeCandyWeight(in ounces)Package PriceReeses Pieces10$1.60Skittles8$1.80Starburst12$2.04

Answer: $1.60 = $0.16/oz 10

$1.80 = $0.23/oz 8

$2.04 = $0.17/oz 12The lowest price is Reeses Pieces

*