# Section 1: Simplify Each Radical:

```Name
Alg2a Q2 Test 1 Review
December 16, 2011
Test: Tuesday, 12/20/11
1) √980
2) √507
3) √99
4) √648
5) √128x15
6) √294x13
7) √432x13y18
8) √847x49y36
9) √484x16y100
10) √245x19y32
11) √48x27y20
12) √192x24y37
1. 5 243  9 75
2. 3 338  7 200
3. 8 180  3 720
4. 6 640  7 490
5.  7 150  4 486
6. 18 847  10 448  9 567
Section 3: Multiplication:
1) (-3√8)(8√24)
2) (5√18)(6√12)
3) 9√3 (6√147 - 4√98)
4) (4 -√5)(4 + √5)
5) (11 – 5√2)(8 – 3√2)
6) (4 - 3√6)(7 + 5√3)
Section 4: Division
1)
4√300 _
5√507
4)
√6
7 - √2
7)
4  10
3 5
2) 27√245 _
14√810
3) 22√675
7√242
√6 _
4 + √2
6) √5__
9 + √3
5)
8)
6 3
2 3
9)
6 3
7 6
Section 5: Right Triangles:
1)
2)
10
3)
Name
Alg2a Q2 Test 1 Review
4)
7)
December 16, 2011
Test: Tuesday, 12/20/11
5)
6)
8)
9)
Section 6: Right Triangle Word Problems:
1) The bus driver drove 22 miles south and then turned and drove 17 miles west. How far is the
bus from where it first started?
2) A statue casts a 63-foot shadow. If the angle of elevation is 71&deg;, how tall is the statue, to the
nearest hundredth of a foot?
3) A 13 foot ladder is leaning against a house. The base of the ladder is 5 feet from the base of
the house. How high on the wall of the house does the ladder reach?
4) A ladder is leaning against a house. It is 4 feet from the base of the house. If the angle of
elevation is 65&deg;, how long is the ladder?
5) A plane takes off at an angle. The plane is 2750 feet in the air and the ground distance
traveled is 5900 feet. What is the angle of depression?
6) A child is sitting on the floor flying a kite. The kite is 512 feet off the ground. The angle of
elevation is 68&deg; . How long is the kite’s string?
** You must get info on the right triangles from a classmate.
```