Carter's Unit 3 Algebra Review

Solve each equation by factoring.

100

x²-8x+7=0

7, 1

200

n² + 6n = -8

-4, -2

300

7r² + 57r+56 =0

-8/7, -7

400

3k²+2k=0

-2/3, 0

500

90n²+96n=42

1/3, -7/5

Solve each equation by completing the square.

100

a² + 14a - 51 = 0

{3, -17}

200

x² − 12x + 11 = 0

{11, 1}

300

n² = 18n + 40

{20, −2}

400

x² − 10x + 26 = 8

{5 + square root 7, 5 square root − 7}

500

9v²-4v-86=7

31/9, -3

Solve each equation with the quadratic formula

100

m² − 5m − 14 = 0

{7, −2}

200

b² − 4b + 4 = 0

{2}

300

2x² − 3x − 5 = 0

{5/2 , −1}

400

9n² = 4 + 7n

{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}

500

3p²-12p=1

6+ sqrt 39 all over 3, 6- sqrt 39 all over 3