Algebra 2 Review

Rational Expressions

100

Simplify: x²+7x+12/x²+8x+16

x+3/x+4

200

Simplify: 4a²b/12ab²

a/3b

300

Perform the indicated operation: y²+10y/y+5 + 25/y+5

y+5

Log Properties

100

Simplify log₂16+log₂32

9

200

Simplify log₃81-log₃9

2

300

Simplify log₃729-2 log₃3³+log₄16+2 log₄2

3

Converting Logarithmic Equations

100

Convert to logarithmic form: 5³=125

Should look like log₅125

answer is 3

200

Convert to exponential form: log₅25=2

5²=25

300

Convert to exponential form: log₃27

3³=27

Arithmetic Sequences

100

What is the arithmetic sequence of:3,6,9

Find the 7th term

a₇=3+(7-1)3

7th term: 21

200

find the 5th term and the arithmetic sequence of: 20,17,14

a₅=20+(5-1)-3

5th term: 8

300

Find the 6th term and the arithmetic sequence of: 3/4, 5/8,1/2

a₆=3/4+(6-1)-1/8

6th term: 1/8

Geometric Sequences

100

What is the 7th term of this sequence: 2,8,32,128

Find the common ratio

r=4

7th term:8192

200

Find the terms a₂, a₃, a₄, and a₅ of a geometric sequence if a1 = 10 and the common ratio r = - 1.

a₂=-10

a₃=10

a₄=-10

a₅=10

300

Find a₂₀ given that a₃ = 1/2 and a₅ = 8

a₂₀ = 2¹⁸