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Solve quadratics by factoring and completing the square

Authored by Colleen Bitar

Mathematics

9th - 12th Grade

CCSS covered

Used 6+ times

Solve quadratics by factoring and completing the square
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve the following quadratics equation by completing the square...


x2 + 4x + 1 = 0

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

2.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Now you: What number should be added to complete the square?

x2+14xx^2+14x  



(a)  

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following trinomials is a perfect square trinomial ?

a2−a+9a^2-a+9

a2−12a+36a^2-12a+36

a2+10a+9a^2+10a+9

a2−25a^2-25

Tags

CCSS.HSA.APR.C.4

4.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - _ )2 = 20

(a)  

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by completing the square.
x2−4x−20=0x^2-4x-20=0  

x={−2±62}x=\left\{-2\pm6\sqrt{2}\right\}  

x={2±62}x=\left\{2\pm6\sqrt{2}\right\}  

x={2±26}x=\left\{2\pm2\sqrt{6}\right\}  

x={−2±26}x=\left\{-2\pm2\sqrt{6}\right\}  

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

What do the "Zeros" represent on a quadratic equation graph?

x-intercepts

y-intercepts

vertex

focus

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

x = 4 and x = −3

x = 2 and x = 1

x = −4 and x = 3

x = −2 and x = 1

Tags

CCSS.HSA-REI.B.4B

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