Review for Quadratics and Systems of Equations

Factoring

100

b² + 8b + 7

(b + 7)(b + 1)

200

n²− 10n + 9

(n − 1)(n − 9)

300

b² − 6b + 8

(b − 4)(b − 2)

400

2n² + 6n − 108

2(n + 9)(n − 6)

500

4v² − 4v − 8

4(v + 1)(v − 2)

Quadratic Equation

100

m² − 5m − 14 = 0

{7, −2}

200

2x² + 3x − 20 = 0

{5/2 , −4}

300

x² + 4x + 3 = 0

{−1, −3}

400

2m² + 2m − 12 = 0

{2, −3}

500

4b² + 8b + 7 = 4

{− 1/2 , − 3/2}

Substitution Method

100

y = 6x − 11

−2x − 3y = −7

(2, 1)

200

2x − 3y = −1

y = x − 1

(4, 3)

300

y = −2

4x − 3y = 18

(3, −2)

400

−5x + y = −2

−3x + 6y = −12

(0, −2)

500

−3x + 3y = 3

−5x + y = 13

−3, −2)

Elimination Method

100

−4x − 2y = −12

4x + 8y = −24

(6, −6)

200

x − y = 11

2x + y = 19

(10, −1)

300

8x + y = −16

−3x + y = −5

(−1, −8)

400

−3x + 7y = −16

−9x + 5y = 16

(−4, −4)

500

8x + 14y = 4

−6x − 7y = −10

(4, −2)

Vertex Form

100

y = x² + 16x + 71

y = (x + 8)²+ 7

200

y = x² − 2x − 5

y = (x − 1)² − 6

300

y = x² − 12x + 46

y = (x − 6)² + 10

400

y = 4x² − 56x + 200

y = 4(x − 7)² + 4

500

y = −8x² − 80x − 199

y = −8(x + 5)²+ 1