Precalculus Review

Factoring

100

Factor the following: 4x²+36x

4x(x+9)

200

x² − 7x − 18

(x+9)(x-2)

300

x² − 16x + 63

(x-9)(x-7)

400

3n²− 8n + 4

(3n-2)(n-2)

500

6x² + 7x − 49

(3x-7)(2x+7)

Adding/Subtracting Rationals

100

(u − v)/8v + (6u − 3v)/8v

(7u-4v)/8v

200

(m − 3n)/(6m³n) − (m + 3n)/(6m³n)

-1/m³

300

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

34x²+30x / (5x+4)(2x+3)

400

2/(3x² + 12x) + 8/2x

50+12x / 3x(x+4)

500

3/(b - 8) + 7/(b + 3)

10b - 47/(b + 3)(b - 8)

Step/Piecewise Functions

100

Piecewise: 

Number 1

2

200

Piecewise: 

Number 4

1/16

300

Piecewise: 

Number 6

-26

400

Piecewise: 

Number 9

81

500

Piecewise: 

Number 3

64

Absolute Value Functions

100

If y = |x+3| - 4.  Find the value when x =-4

y = -3

200

If y = 4|x - 2| - 2.  Find the value when x = 5

y = 10

300

If y = -|x+3| - 4.  Find the value when x = 0

y = -7

400

If y = -3|2x - 9| +2.  Find the value when x = - 10

y = -85

500

If y = -2|2x + 2| -32.  Find the value when x = 10

y = -76

Rational Functions

100

Number 1: Find the x-intercepts

None

200

Find the vertical asymptotes

x = -4

300

Find any holes

x = -5 (-5,-1)

400

Find the Horizontal Asymptote

y = 0

500

In the Lord of the Rings: Name the Hobbit who carries the One Ring to Mordor to destroy it in the fires of Mount Doom.

Frodo Baggins