Solve by Graphing
Solve by Square Roots
Solve by Completing the Square Level 1
Solve by Completing the Square Level 2
Convert to Vertex Form
100

Solve the equation by graphing.

-x2 - 4x - 6 = 0

No Solution

100

Solve the equation by taking square roots.

2x2 - 20 = 78

7 & -7

100

Find the value of c that would complete the square.


x2 + 6x + c

9

100

Solve the equation by completing the square. 

2x2 + 24x + 10 = 0

-6  pm  root  31

100

Write the function in vertex form. 

y = x2 - 12x + 36

y = (x - 6)2

200

Solve the equation by graphing.

x2 - 5x = 0

0, 5

200

Solve the equation by taking square roots.

3x2  + 16 = 4

no solution

200

Solve the equation by completing the square.

x2 + 4x - 21 = 0

-7 & 3

200

Solve the equation by completing the square. 

2x2 - 8x - 14 = 0

2  pm  root  11

200

Write the function in vertex form. 

y = x2 + 8x + 15

y = (x + 4)2 - 1

300

Solve the equation by graphing.

x2 + 8x + 16 = 0

-4

300

Solve the equation by taking square roots. 

(x - 7)2 = 6

7  pm  root  6


300

Solve the equation by completing the square.

x2 - 10x = 24

-2 & 12

300

Solve the equation by completing the square. 

4x2 + 8x - 7 = 0

-1  pm  root  11 /2

300

Write the function in vertex form. 

y = -x2 + 10x - 21

y = -(x - 5)2 + 4

400

Solve the equation by graphing.

x2 - 6x - 7 = 0

-1, 7

400

Solve the equation by taking square roots. 

20 = 2(x + 5)2

  -5 pm root 10


400

Solve the equation by completing the square.

x2 - 7x + 6 = 0

1 & 6

400

Solve the equation by completing the square. 

7x2 + 24x - 2 = x2 - 9

-2  pm  root  (17/6)

400

Write the function in vertex form. 

y = 2x2 - 12x + 19

y = 2(x - 3)2 + 1

500

Solve the equation by graphing.

x2 - 2 = -x

1, -2

500

Solve the equation by taking square roots. 

11x2 + 3 = 5(4x2 - 3)

  pm root  2

500

Solve the equation by completing the square. 

x2 - 6x + 3 = 0

3  pm  root  6

500

Solve the equation by completing the square. 

x2 + 2x + 0.4 = 0.9x2 + x

-5  pm  root  21

500

Write the function in vertex form. 

y = -3x2 - 6x - 1

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

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