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Name Alg2a Q2 Test 1 Review December 16, 2011 Test: Tuesday, 12/20/11 Section 1: Simplify Each Radical: 1) √980 2) √507 3) √99 4) √648 5) √128x15 6) √294x13 7) √432x13y18 8) √847x49y36 9) √484x16y100 10) √245x19y32 11) √48x27y20 12) √192x24y37 Section 2: Addition and Subtraction: 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°, 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°, 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° . How long is the kite’s string? ** You must get info on the right triangles from a classmate.