Math 40
Exam #5 Study Guide
Name:
Date:
1. Simplify each of the following expressions.
(a) (−3)4
(b) (3x3 )2 (2x4 )3
2. Simplify each expression. Write all answers with positive exponents only.
(a) 4−2
(c)
y −5
y −7
(b) (7a6 b4 )0
(d)
(x−2 )3 (x−3 )−5
(x−4 )−2
3. Write 0.00479 in scientific notation.
4. Write 3.14 × 104 in expanded form.
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5. Simplify. Write all answers with positive exponents only.
(a)
36x2 y 4 z
72x6 y 2 z 3
(b)
(6a2 b)(9a3 b2 )
18a4 b3
(c)
36x8 21x12
+
4x3
3x7
(d)
(3.3 × 107 )(2 × 10−5 )
1.1 × 10−4
6. Add or subtract as indicated.
(a) 9x2 + 3x − 12 + 3x2 − 12x − 1
(b) (2a2 − 4a + 1) − (5a2 − 2a + 3)
7. Subtract 5x − 2 from −9x + 4.
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8. Multiply.
2
2
!
1
x+
2
"!
"
1
x−
3
(a) 3x (4x − 5x + 3)
(b)
(c) (5x + 4)(2x − 3)
(d) (x − 3)(x2 + 3x + 5)
(e) (x + 5)2
(f) (4x − 3y)(4x + 3y)
9. Divide.
8x2 − 6x − 5
(a)
2x − 3
(b)
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3x3 − 2x + 1
x−3
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