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Answers and Complete Explanations for Practice Test 3

16. D. The new dimensions are:

8″

(5+3)

10″

(7+3)

Note: Perimeter is the distance around. Think perimeter (rim). Simply add the sides

^10 + 8 + 10 + 8h=

36 inches.

Or apply the perimeter formula:

2_

lengthi

+ 2^widthh

= perimeter

210 ^ h+ 28 ^ h= 20+ 16=

36inches

17. B. To purchase 12 tapes, Roy must buy 6 packages. At $2.98 per package, he spends

$17.88. His change from a $20 bill will be $ 20. 00 - $ 17. 88 = $ 2.

12.

18. D. Solving the equation 2x+ 4- 2x= 3x+ 3, first subtract 2x from each side:

2x+ 4- 2x= 3x+ 3-2x

4= x + 3

Now subtract 3 from both sides:

4- 3= x + 3-3

1=x

By plugging in the value of x (that is, 1) for each of the answer choices, you find that 1

satisfies all the equations except choice D.

Does x=- 1? No.

1! -1

Therefore, D is the correct answer.

19. B. Note that all choices except B are larger than 1 ⁄2. Choice B, 4 ⁄9, is smaller than 1 ⁄2.

20. B. 210,000 is equivalent to _ 2# 10 5 i+

_ 1#

10

4

i. A fast way of figuring this is to count the

number of places to the right of each digit that is not zero. For instance,

210,000 Note that there are 5 places to the right of the 2, thus 2# 10 5

.

210,000 There are 4 places to the right of the 1, thus, 1# 10 4

.

So 210,000 may also be written _ 2# 10 5 i+

_ 1#

10

4

i.

21. C. If the product of two numbers equals one of the numbers, then ^ xh_

yi = x. If this product

is more than 0, neither of the numbers may be zero. Therefore, y must be 1:x

^ h^1 h = x.

371

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