Review 2

Factoring

100

Factor 64x^6 – 121y^4

(8x^3+11y^2)(8x^3-11y^2)

200

Factor 49x^2-25y^2

(7x+5y)(7x-5y)

300

Factor x+7x^(1/2)+12

(x^1/2 +4)(x^1/2 +3)

400

(x-3)^4+10(x-3)^2+24

((x-3)^2+6)((x-3)^2+4)

500

Factor x^2/5 - 5x^1/5 -14

(x^1/5 -7)(x^1/5 +2)

Solve Quadratics

100

Solve 2(x-2)^2-3=7

x=+sqrt(5)+2 x= -sqrt(5)+2

200

Solve x^2 +2x+3=0

x= -1+i sqrt(2) x= -1-i sqrt(2)

300

Solve 3x^2+10x-8=0

x= 2/3 x= -4

400

2(x-4)^2+7=9

x= 3 x= 5

500

Solve 4n^2=-7+n

x= 1+i sqrt(111)/8 x= 1-i sqrt(111)/8

Complex Numbers

100

Simplify (2-6i) + (10+5i)

12 -1i

200

(2-6i) - (10+5i)

-8-11i

300

Simplify (-4-5i)(9+9i)

9-81i

400

(-3+5i)(1-3i)

12+14i

500

(2+4i)(2-2i)

12+4i

Inequalities

100

1/(x-2)>0

(2, oo)

200

(x+4)/(x-2)> 0

(-oo, -4) U (2, oo)

300

x^2 +2x -15>0

(-oo, -5) U (3, oo)

400

2x^2 + 3x -12< 0

(-3.31, 1.81)

500

(x-2)/(3x-2)>=0

(-oo, 2/3) U [2, oo)

Interest

100

Find the percent rate of change. A=500(1.5)^t

50%

200

Find the growth rate. A=10(.30)^t

70%

300

Find the Effective Rate. A=600(1+.03/12)^(12t)

3.04%

400

Find the Effective Rate. A=200(1+.6/4)^(4t)

74.90%

500

Mrs. Anderson need to have 20,000 to buy a new car. She needs to know how much she needs to invest if she has an interest rate of 5% and waits 5 years to buy a car.

$15670.52