REVIEW FOR TEST 4
Simplify. Leave only positive exponents.
1.
3x0y-2
2.
(-2y3)3
3.
(2x5y4)(6x3y)
4.
(3x2)(2x)4
5.
(9xy5)0
6.
(4x-2)3
7.
9x 2 y 3
6x5 y 3
8.
 2 y 2 
 1 
 x 
9.
x 2
x4
10.
For the polynomial 3x4 – 2x + 9
5
a. classify as a monomial, a binomial, a trinomial, or none of these.
b. determine the degree of the polynomial
c. give the coefficient of the leading (first) term
Combine like terms.
11.
6x2 + 2x4 – 2x2 – x4 – 4x2
13. Evaluate x2 – 6x – 5 for x = -4.
12.
5a + b + 4a – 3b
14. Evaluate 2xy2 – y for x = 3 and y = -1
Add or Subtract.
15. (2x3 + x2 – 4) + (5x2 + 1)
16. (x3 + 3xy – 5y2) – (5x3 + xy – 4y2)
17. (x + 2y – 5) + (3x – y) – ( -4x + y – 2)
Multiply.
18.
-4x4(2x2 – 5x + 1)
19.
(5x + 2)(5x – 2)
20.
(2x + 1)(4x2 + 3x + 7)
21.
(x3 + y)2
22.
Convert to scientific notation: 12, 000,000
23.
Convert to standard notation: 7 X 10-4
Multiply or divide. Leave answer in scientific notation.
24.
26.
(4.2 X 105)(3.1 X 10-2)
25.
5.1 X 104
-------------3.4 X 10-5
1 X 10-8
-----------4 X 10-2
27.
A 26-gram sample of water containing tritium emits 1.5 X 103 beta
particles per second. How many beta particles are emitted in one hour?
28.
The national debt is 4.3 X 1012 dollars. How much would each American
citizen have to pay in order to pay off the national debt?
Use two hundred fifty million as the number of citizens.
EXTRA PRACTICE
Review Exercises Pgs. 243-44 1, 3, 6-9, 19-31, 33-49, 52-56, 67-75
Chapter Test 1, 5-30, 37-44
ANSWERS
1.
3
----y2
2.
-8y9
3.
12x8y5
1
6.
64
----x6
9.
1
------x6
4.
48x6
5.
7.
3
-----2x3
8.
10.
a. trinomial
b.
4
c.
3
11.
x4
12.
9a – 2b
13.
35
14.
7
15.
2X3 + 6X2 – 3
16.
-4X3 + 2XY – Y2
17.
8X – 3
18.
-8X6 + 20X5 – 4X4
19.
25X2 - 4
20.
8X3 + 10X2 + 17X + 7
21.
X6 + 2X3Y + Y2
22.
1.2 X 107
23.
.0007
24.
1.302 x 104
25.
1.5 X 109
26.
2.5 X 10-7
27.
5.4 X 106
28.
1.72 X 104
y10
--------32x5