Algebra 2 Beginning S2

Solving

100

Solve the following equation for x:

|x-8|=18

x=26 and x=-10

200

Solve the following equation for x:

-9|x+3|-1=-37

x=1

x=-7

300

Solve the following equation for x:

2-5(7x-6)=242

x=-6

400

Solve the following equation for x:

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

x=2

500

Solve the following equation for x:

3x²+2=14

x=-2

x=2

Factoring

100

Factor the following quadratics completely:

x²-9x=-14

(x-7)(x-2)

200

Factor the following quadratics completely:

x²+7x-8

(x+8)(x-1)

300

Factor the following quadratics completely:

2x²+3x-20

(2x-5)(x+4)

400

Factor the following quadratics completely:

5x²-9x+4

(5x-4)(x-1)

500

Factor the following quadratics completely:

30x²+18x-84

6(5x-7)(x+2)

Completing the square

100

Solve the following by completing the square:

x²+10x+24=0

x=2

x=10

200

Solve the following by completing the square:

x²-4x-49=0

x=2+-sqrt(53)

300

Solve the following by completing the square:

x²+12x-80=-4

 x=-6+-4sqrt7 

400

Solve the following by completing the square:

x²-12x-57=-9

x=6+-2sqrt21

500

Solve the following by completing the square:

x²+19x-50=4x

x=(-15+-5sqrt17)/2

Quadratic Formula

100

Solve the following quadratic using the quadratic formula:

x²+5x+1=0

x=(-5+-sqrt21)/2

200

Solve the following quadratic using the quadratic formula:

3x²-4x-1=0

x=(2+-sqrt2)/3

300

Solve the following quadratic using the quadratic formula:

7x²-9=4x

x=(2+-sqrt67)/7

400

Solve the following quadratic using the quadratic formula:

2x²-15=0

x=+-(sqrt30)/2

500

Solve the following quadratic using the quadratic formula:

4x²-18=10x

x=(5+-sqrt97)/2