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Exit Ticket #7 - Completing The Square

Last updated over 4 years ago

4 questions

2

2

2

2

Question 1

1.

What are the roots of the equation
x2 - 5x + 6 = 0 ?

[Space is provided for optional work.]

{ 2 , 3 }

{ -3 , -2 }

{ -1 , 6 }

{ -6 , 1 }

Question 2

2.

What quantity should be added to both sides of the equation below to complete the square?

x2 - 8x = 5

[Space is provided for optional work.]

-4

4

16

-16

Question 3

3.

Luke correctly solved the equation
x2 + 2x = 3 by completing the square.
Which equation is part of his solution?

[Space is provided for optional work.]

(x + 2)2 = 5

(x + 1)2 = 4

(x + 1)2 = 2

(x + 2)2 = 1

Question 4

4.

Tessa peformed the steps shown
to solve a quadratic equation
using the method of completing
the square.

Step 1: x2 + 4x - 6 = 0
Step 2: x2 + 4x = 6

Which represents the next correct step Tessa should perform?

[Space is provided for optional work.]

x2 + 4x + 2 = 6 + 2

x2 + 4x + 2 = 6 - 2

x2 + 4x + 4 = 6 - 4

x2 + 4x + 4 = 6 + 4