Pre-Cal Unit 3 Review

Factoring/Solving Equations

100

Simplify:

x^2-2x-63

(x+7)(x-9)

200

Factor completely:

6x^2+27x+12

(6x+3)(x+4)

300

Factor completely:

20x^3-34x^2+6x

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

400

Solve the equation:

-4a^2+36=0

a=+-3

500

Solve the equation:

4x^2+32x+48=0

x=-6 and x=-2

Solving Inequalities

100

Solve and graph your solution. Write your answer in interval notation.

(-6-4x)/(-3)≤-6

(-oo,-6]

200

Solve and graph your solution. Write your answer in interval notation.

-5≥ 3/2 x+10> 1

(-oo,-10] or (-6,oo)

300

Solve and graph your solution. Write your answer in interval notation.

-6|3x-2|> -42

(-5/3, 3)

400

Solve and graph your solution. Write your answer in interval notation.

-8|3x-6|> -24

(1,3)

Rules of Exponents

100

Simplify the expression:

(x^-3 y^(-4))/(xy^2 )

(1)/(x^4y^6 )

200

Simplify the expression:

(-2r^-3 t^(-4))/(12r^-7t^2 )

-(r^4)/(6t^6 )

300

Simplify the expression: 

(-81w^7 z^(-6))/(-9w^5 z^3 )

(9w^2)/(z^9 )

Operations with Polynomials

100

Simplify:

(-3.3x^3-5.4x)-(4.7x^3+1.2x^2-2x)

-8x^3-1.2x^2-3.4x

200

Simplify:

(4c^3 d^2+5e-4c)+(8c^3d^2-3e)

12c^3d^2+2e-4c

300

Simplify:

-5a^4b^3(2ab^2-3a^3b+ab)

-10a^5b^5+15a^7b^4-5a^5b^4

400

Simplify:

(6k-3m)(k+2)

6k^2+12k-3km-6m

500

Simplify:

(5x^2y+3xy)(2x^4y^2-4y)

10x^6y^3-20x^2y^2+6x^5y^3-12xy^2

System of Equations/Equation of a Line

100

Solve the system if possible:

{(x − 7 y = − 11),(5 x + 2 y = − 18):}

(-4, 1)

200

Write an equation in slope intercept form of line with points: (6,4) and (2,3)

y=1/4x+5/2

300

Solve the system if possible:

{(2x+3y=20),(7x+2y=53):}

(7,2)

400

Write an equation in slope intercept form of the line with points: (-6,9) and (4,-3)

y=-6/5x+9/5

500

Solve the system if possible:

{(-4x-2y=14),(-10x+7y=-25):}

(-1,-5)