INTERMEDIATE ALGEBRA EXAM 2 S* NAME___________________
SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER. Circle answers.
TURN IN ALL WORKSHEETS. CALCULATORS ARE PERMITTED ON THIS TEST.
x3 – y3 = (x – y)( x 2 + xy + y 2)
x3 + y3 = (x + y)( x 2 – xy + y 2)
In 1 - 4, factor completely:
1. y 2 – 8y – 20 2. x3 + 2x2 – 4x – 8
3. 40x5 y3 – 5x2 4. (x2 – 3x)2 – 14(x2 – 3x) + 40
In 5 – 6, solve for x:
5. x 2 + 2x = 8 6. (x – 3) (x + 3) = 8x
In 7 - 10, perform the indicated operations (add, subtract, multiply, or divide.)
REDUCE ALL FRACTIONS COMPLETELY!
7.
8.
9.
10.
In
11 - 12, solve the equations for x:
11.
12.
13.
y varies directly as z and inversely as the square root of x.
If y = 12 when z = 3 and x = 4, find y when z=12 and x = 9.
14.
Divide:
a)
b)
In
15 - 18, simplify the complex fractions:
15.
16.
17.
18. 
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