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Part V: Practice-Review-Analyze-Practice

11. E. Drawing a diagram, as shown below, may be helpful in envisioning the process of fitting

the cartons into the box. Notice that 8 cartons will fit across the box, 3 cartons deep,

and two “stacks” high:

8 × 3 × 2 = 48 cartons

8″

4″

2″

3″

9″

16″

12. D. The largest number that divides evenly into 18, 24, and 30 is 6. You could work from

the answers.

13. A. Set up a ratio:

. x

3 8 =

42

Cross multiplying gives 3x

= 336 .

Divide by 3. x = 11.2 or 11 1 ⁄5

14. A. Plug in –3 for each y:

3y 3 - 4y 2

+ y- 6=

3

2

3^-3h

-4^- 3h

+ (-3)- 6=

3^-27h-4^9h-3- 6=

-81 -36 -3 - 6 = -126

15. B. Algebraically: Let x equal number of roses; then 3x equals number of carnations. So,

^xh^1. 00h+ ^3xh^. 50h=

7.

50

x+ 15 . x=

750 .

25 . x = 750 .

x= 3roses

Working up from the answer choices may be easier. Notice that only answer choice B, 3

roses, gives a total of $7.50, since 3 roses purchased means 9 carnations purchased (triple

the number of roses). Three roses at $1 each plus 9 carnations at $.50 each equals

$ 3 + $ 4. 50 = $ 7.

50. Only choice B will result in $7.50 spent on all the flowers.

16. B. Set up an equation:

3

⁄10 of gross is 150

3

⁄10x = 150

422

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