Algebra 2

Linear Equations

100

Write in slope-intercept form:

 y-intercept  = -2 

 m = 2/3

y = 2/3x - 2

200

Write in slope-intercept form:

 slope = -1/2 

 y-intercept = 8

y = -1/2x + 8

300

Write in slope-intercept form:

Point -  (-1,4)

and parellel to x + 3y = 5

y = -1/3x + 4

400

Find the x-intercept:

Point (3,2) 

and parallel to 2x - 4 = 5

x=3 (undefined)

500

Find the y-intercept through point (3,5) and no x-intercept

y = 5

Synthetic Division

100

(t³ -6t² +1) divided by (t+2)

t² -8t +16 -(31/t+2)

200

(3x³ - 4x² + 2x - 1) divided by (x+1)

3x² - 7x + 9 -(10/x+1)

300

3x³-2x²+3x-4 divided by x-3

3x²+7x+24   +(68/x-3)

400

x⁴-3x³-7x²-11x-20 divided by x-5

x³+2x²+3x+4

500

(5x⁴ -4x² +x +6) divided by (x-3)

5x³ + 15x² + 41x + 124  +(378/x-3)

The Quadratic Equation

100

x² − 7x + 10 x=2

0

200

2x+1=0  and  x-4=0    

x=-1/2 or x=4

300

2x² − 7x + 6 = 3

x=1/2  or  x=3

400

x2 – 7x = 0

x = 0  or  x = 7

500

64 – x² = 0

x = +/- 8

Complex #'s

100

-4i x 7i

28

200

√-8 x √-5

-2√10

300

√-7 x 3√-9

-9√7

400

√-200

10i√2

500

(8-3i) + (2+5i)

10 +2i