Spiral Algebra Review

Solving Quadratics with square roots

100

2(x+1)²-35=15

x={4,-6}

200

2(x+8)²-19=31

x={-3, -13}

300

(x+8)²-43=-38

x={-8+ sqrt(5), -8- sqrt(5)}

400

4(x+9)²+8=32

x={-9+ sqrt(6), -9- sqrt(6)}

500

2(5x+7)²-13=33

x=(-7+- sqrt(23))/5

Two step equations

100

-11=-47-12b

b=-3

200

-50=6a+28

a=-13

300

79=5a+9

a=14

400

-1/6 b + 5/6 = -1/3

b=7

500

-1/4 = -1/6 b - 7/8

b= -15/4 OR b= -3.75

Three step linear equations

100

-13x-2=-10x-2

x=0

200

-2x+1=-x+8

x=-7

300

-7x-5=-4x-29

x=8

400

4x-8=7x-2

x=-2

500

14x+2=9x-3

x=-1

Linear equations with distribution

100

3(3x-3)=27

x=4

200

2(x-2)=10

x=7

300

7(2x+4)=42

x=1

400

-5(2x-5)-3x-5=7

x=1

500

-5(-5x+3)-5x+5=50

x=3

Multiply binomials (FOIL)

100

(x+1)(x+1)

x²+2x+1

200

(x-7)(3x+2)

3x²-19x-14

300

(2x-6)(2x-8)

4x²-28x+48

400

(3x+3)(3x+8)

9x²+33x+24

500

(3x+4)²

9x²+24x+16