Droegemueller Final Review

Solving for X

100

3(X+4)=21

x=3

200

5(2x−1)+3=4x+16

x=3

300

7(3x−2)−5=4(2x+6)+10

x=53/13

400

−3(4x−7)+8=2(5x+1)−15

x=21/11

500

(x−4)²=x²−(10x−7)

x=9/2

Exponent Rules

100

1/x^-3

x³

200

(-12a)⁰

1

300

(3x²y)²

9x⁴y²

400

(2ab³)²(ab)⁴

4a⁶b¹⁰

500

(3x^-2y⁴)²/(9x^-5y)

xy⁷

Absolute Value

100

∣x∣=8

x=8,-8

200

∣x−5∣=12

x=17,-7

300

∣3x+2∣=14

x=4, -16/3

400

∣6b−2∣+10=44

b=6, -16/3

500

2∣4x−7∣−5=31

x=25/4, -11/4

Factoring

100

6x+18

6(x+3)

200

x²+7x+12

(x+3)(x+4)

300

7k²+9k

k(7k+9)

400

2b²+17b+21

(2b+3)(b+7)

500

3x²+22x+35

(3x+7)(x+5)

Quadratic Formula

100

x²+5x+6=0

x=-2,-3

200

2x²+7x−4=0

x=0.5 -4

300

3x2+10x+7=2

x= (-5+sqrt10)/3, (-5-sqrt10)/3

400

9x2+11x+18=8−10x

x= -2/3, -5/3

500

4x²−6x+9=2x+1

x=1