Download Algebra-2 Radicals and Rational Exponent Test Review 2

Algebra-2
Radicals and Rational Exponent Test Review 2 (Unit 9)
(No Calculator Section)
1) Rewrite with radical notation: DO NOT simplify! (Put the denominator in the hook and the numerator as a power.)
2
1
5
93 x3 y 3
2) Rewrite with rational exponents: DO NOT simplify! The power goes in the numerator and the number in the hook
goes in the denominator.)


xy 2
5
3) Simplify the following to lowest terms. If the expression
HINTS:
 Be sure you have “memorized” all of the powers and roots on the little slip of paper!
 When written as a radical most times it is easier to put the power outside and do the root part first.
 Be careful with negatives!
 For negative POWERS, move to the other side of the fraction.
 For negative NUMBERS, do like normal problems and reduce.
 Be sure to only move what has the negative power, not the co-efficient in front of it.
 Use a factor tree for the numbers under the radical if they are not perfect roots of the index.
 When no power is there it is really a 1.
 When simplifying radicals, divide the power under the radical sign by the index. The remainder stays inside.
 When you add or subtract fractions you need a common denominator.
 When you multiply fractions you multiply numerator times numerator and denominator times denominator.
3
11
4
w
3
7
4

8
3
83
2
3
32
5
32
( 3 64 )2
w
1
5x 2
16 2
8
w w
(2)3
16x 4 y 2 z 8
  23 
y 


1
4
(2) 4

1
4
(2) 4
When a base does not have a perfect root, change it to a lower powered base, the raise to the power.
1
6
32
1
4
(Calculator Section) Solve the following radical equations algebraically. You must show your work in checking for
extraneous solutions.
x  3  16
1
3
3 ( y  7) + 1 = 13
Solve the following inequalities using tables or graphing in your calculator. Put answers in interval notation.
x 1  7
2 x 1  7
FOR PRACTICE GO TO THE INTERNET OR YOUR TEXT BOOK.