Name:
Quiz 1 :: Math 111 :: September 4, 2015
1. Simplify each expression, elimating any negative exponents
(a)
(3a3 b3 )2 (2ab2 )
(b)
r
3
27
x 6
(c)
✓
3x 3/2 y 3
x2 y 1/2
◆
2
2. Perform the indicated operations and simplify
(a)
(x + y)2
x2
y2
(b)
p p
p
( a + b)( a
p
b)
(c)
(ab)2
a 2 b2 +
⇣ a ⌘2
b
+
a2
b2
(d)
p
4x2 + 4y 2
x
y
1
3. Factor each expression completely
(a)
36
9y 2
(b)
3x2 + 3x
18
(c)
x5 + x4 + x + 1
(d)
3x(x + 1)5/4
x2 (x + 1)1/4
(e)
x3 y
4xy
4. Simplify the rational expression
(a)
3
1
1
x+1
(b)
2
x+3
1
x2 + 7x + 12
(c)
y2
x
1
y
x
y2
1
x
2