# Ch 11 practice quiz 5-24-2010

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Ch. 11 Practice Quiz
Simplify the radical operations. (one point each)

1. 35 + 75 - 55                        2. 4 7 + 87 + 57                       3. 45

4.    6 11 + 4 3 + 8 11 + 10 3        5.     (3 11) 2                          6.   500

7.     5                                  8.        3                               9.     49
81                                          100                                      25

10.   (2 + 5) ( 2 – 5 )                 11.. 12 + 75                            12. (5 3) (65)

Solve each radical equation. Show work for credit. Check your answer before you turn in your test. Do not
include extraneous solutions. (2 points each)
13.  x = 5                                           14. x + 3 = 9

15.  3x – 2 = 8                                             16. 3 x + 5 = 36

17.  x + 2 = x                                              18. x =  2x + 3

Use the Pythagorean theorem to find the missing side, keep answers in simplest radical form. Show your
work for credit

19. a = 5          b= 5                                      20. a = 4    b=5

21. a = 11         c = 15                                    22. b = 13    c = 17
Pythagorean word problems. Show work for credit. Round answers to the nearest tenth . Draw a picture if
you need help. ( 2 point each)

23. If a ladder, fully extended can reach the third floor window at 38 ft. when the bottom of the ladder is 6
feet from the base of the wall. How long is the ladder?

24. Your kite, at the end of its string, gets stuck in the top of a redwood tree, you know your entire roll of
string is 85 feet long and you are standing 30 feet from the redwood tree. How tall is the redwood tree?

25.     Two friends decide to split while hiking. One hikes north at 5 mph, the other hikes east at 6 mph, how
far apart will they be in 3 hours?

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