Algebra Final Project

Solving Multi-step Equations

100

5x+6=2x+15

x=3

200

4(2n-5)=3n+10

n=6

300

7x-4=20+3x

x=6

400

8(4u-1)-12u=11(2u-6)

u=29

500

2v+18=16-4(v+7)

-5

Radical Equations

100

16^1/4

2

200

2(x+3)^3/2=54

6

300

3+(4-x)^3/2=11

0

400

(5-x)^1/2=x+1

1

500

2^1/2 x 8^1/2

4

Extraneous Solutions and Real Number Root

100

|3x-1|+10=25

x=-14/3 or x=16/3

200

x^2=16/49

x=4/7,x=-4/7

300

2|3x-7|=10x-8

x=11/8

400

2/3|3x-6|=4(x-2)

x=2

500

x^2=4

x=2,x=-2

Multiplying and Dividing Radical Expressions

100

(d+g)^9

1, 9, 36, 84, 126, 126, 84, 36, 9, 1

200

(a+b)^3

a^3+3a^2b+3ab^2+b^3

300

(x-y)^2

x^2-2xy+y^2

400

(x-y)^5

x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5

500

(x+y)^8

1, 8, 28, 56, 70, 56, 28, 8, 1

Logarithms

100

log (6 . 11)

log 10(6)+log 10(11)

200

log 5-log 8

log 10(3/8)

300

log(a.b)^2

2log 10(ab)

400

log(5.3)

log 10(5)+log 10(3)

500

log(6/5)^6

6(log10(6)-log10(5))