Algebra 2 Review

Solve for

100

3x-5=10

x=5

200

4y+7<3y-2

y<-9

300

|2z-1|=5

z=3 or z=-2

400

2/x = 6/(2x+3)

x=3

500

ln(2197)=xln(169)

x=1.5

Simplify

100

(a+3b+2c)+(4a+c+3b)

5a+6b+3c

200

(2x^2+3x)+(x^2-5x+1)

3x^2-2x+1

300

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

1/(x-1)

400

(x^3+5x^2+6x)/(x^3+4x^2+3x)

(x+2)/(x+1)

500

(xln(1000))/ln(10)-xlog(100)

x

Completely Factor

100

6xy+3x

3x(y+x)

200

x^2+5x

x(x+5)

300

x^2-16

(x+4)(x-4)

400

x^2-5x+6

(x-2)(x-3)

500

x^3+x^2-x-2

(x+2)(x-1)(x+1)

Calculate

100

2^3

8

200

|5-3^2|

4

300

log_9(27)

1.5

400

(5^3)^4/(5^2)^5

25

500

(3/2)^3xx(4/3)^2

6

Algebra Rules

100

a+b=b+a

Commutativity

200

a+0=0+a=a

Additive Identity

300

a+(b+c)=(a+b)+c

Associativity

400

axx1=a=1xxa

Multiplicative Identity

500

a(b+c)=ab+ac

Distributivity