Algebra 2 J1

Factorization

200

x²-7x-60

(x+5)(x-12)

300

2x²+7x-30

(2x-5)(x+6)

400

-12x²-13x+4

(3x+4)(-4x+1)

or

(-3x-4)(4x-1)

500

18x³-48x²+32x

2x(3x-4)²

Linear Equations

200

5-2(x-1) = 7x-3(5-x)

x=3

300

4x - 7 = 6x  - 2(3+x)

no solutions

400

(x+2)/4 - 1  = (x-3)/6 - (1/2)

x=-6

500

(x+1)/2  -  3(x-1)/6  = -x  +  (1/3)

x=-(2/3)

Roots

200

sqrt( 800 ) 

20 sqrt( 2 )

300

sqrt(32x⁷y²)

4x³|y| sqrt( 2x )

400

Rationalize:

44 / (5 - sqrt(3))

10 + 2 sqrt(3)

500

Rationalize:

(sqrt(27) - sqrt(3)) / (sqrt(3)+2)

-6-4 sqrt(3)

Fractional Exponents

200

81^(1/4)

3

300

(27/125)^(2/3)

9/25

400

(-64)^(-4/3)

1/256

500

(8x^(3/4))^(2/3)(16x²)^(1/4)

8x

Restrictions

200

9 / x

x not equal to 0

300

sqrt(9x)

x geq 0

400

1 / sqrt(-2x)

x < 0

500

sqrt( (4-x) (4+x))

-4 leq x leq 4

x is between -4 & 4