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INTERMEDIATE
ALGEBRA EXAM 3 C* NAME____________________ SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER. Circle answers. TURN IN ALL WORKSHEETS. CALCULATORS ARE PERMITTED ON THIS TEST. In 1 - 8, simplify completely: 1a)
b)
In 4 - 6, give a) simplest radical form, b) calculator value (nearest hundredth). 4.
In 7 - 9, rationalize the denominators. 7.
In
10 – 11, simplify: 10a)
11a)
In 12 – 13 solve for x. 12.
In
14 - 30, solve for x. For
inequalities, give interval notation. 14. |2x
– 10 | = 6
15a) |2x
– 10 | > - 4
b)
|2x – 10 | < - 4 16.
|x – 2 | < 5
17.
18.
x2 – 2x = 8
19. (x + 3) 2 = 12
20. x(x
– 4) = –8 In 21 – 23, find x. [Note: Being technologically impaired, I am unable to draw the triangles for the Theorem of Pythagoras problems. For now, a description will have to suffice.]
21. Solve a triangle whose legs are 40 and 42, with hypotenuse x.
22. Solve a triangle whose legs are x and 20, with hypotenuse 24.
23.
The diagonal of a rectangle is
73 cm, and the length is 55 cm. Find the width of the
rectangle.
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2a) 
3a) 
b) 
b) 
5. 
6. 
