3.4.4

Quiz: Converting Quadratics to Standard Form

Question 1a of 14 ( 3 Standard Form of Quadratic Equations 145190 )

Maximum Attempts: 1

Question Type: Text Fill In Blank

Maximum Score: 2

Is Case Sensitive: false

Correct Answer: x^2 + 6x + 5 = 0, x^2+6x+5=0

Question: Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as x^2.

x2 + 6x + 8 = 3

Attempt Incorrect Feedback

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The correct answer is: x2 + 6x + 5 = 0.

Question 1b of 14 ( 3 Standard Form of Quadratic Equations 244658 )

Maximum Attempts: 1


Maximum Score: 2


Correct Answer: x^2 + 7x + 6 = 0, x^2+7x+6=0

Question: Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as

http://courses.apexlearning.com/apps/AceWeb/showPreview.do?activityID=279543

x^2. x2 + 7x + 9 = 3


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Question 1c of 14 ( 3 Standard Form of Quadratic Equations 244659 )

Maximum Attempts: 1


Maximum Score: 2


Correct Answer: x^2 + 8x + 7 = 0

Question: Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as

x^2. x2 + 8x + 10 = 3


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 2x^2 + 5x - 1 = 0, 2x^2+5x-1=0

Question: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as x^2. 2x2 - 2 = -5x - 1


1st

Correct Feedback


The correct answer is: 2x2 + 5x - 1 = 0.


Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 2x^2 + 6x - 1 = 0

Question: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as x^2.

2x2 - 3 = -6x - 2


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Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 2x^2 + 4x - 2 = 0

Question: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as

x^2. 2x2 - 3 = -4x - 1


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 2x^2 - 5x - 7 = 0, -2x^2+5x+7=0, 2x^2 - 5x - 7 = 0, -2x^2 + 5x + 7=0


x + 9 = 2(x - 1)2


1st

Correct Feedback


The correct answer is: 2x2 - 5x - 7 = 0 or -2x2 + 5x + 7 = 0.


Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 3x^2 - 7x - 7 = 0, -3x^2 + 7x + 7 = 0


x + 10 = 3(x - 1)2


1st

Correct Feedback


The correct answer is: 3x2 - 7x - 7 = 0 or -3x2

+ 7x + 7 = 0.


Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 4x^2 - 9x - 5 = 0, -4x^2 + 9x + 5 = 0

Question: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as x^2. x + 9 = 4(x - 1)2


1st

Correct Feedback


The correct answer is: 4x2 - 9x - 5 = 0 or -4x2

+ 9x + 5 = 0.


Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 7x - 15 = 0, -7x+15=0


x^2. x2 - 10 + 3x = (x - 2)2 + 1


1st

Correct Feedback


The correct answer is: 7x - 15 = 0 or -7x + 15 = 0.

Note that the coefficient for the x2 term is zero.


Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 6x - 18 = 0, -6x + 18 = 0


x^2.

x2 - 12 + 2x = (x - 2)2 + 2


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Maximum Attempts: 1


Maximum Score: 2


Correct Answer: 8x - 18 = 0, -8x + 18 = 0

Question: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as x^2. x2 - 12 + 4x = (x - 2)2 + 2


1st

Correct Feedback




Question 5a of 14 ( 3 Using the Zero Product Rule 145194 )

Maximum Attempts: 1

Question Type: Multiple Response

Maximum Score: 2

Question: Which of the following are solutions to the equation below? Check all that apply.

x2 + 4x - 9 = 5x + 3

Correct Answers:

Choice

*A. -3

B. -4

C. 5

D. -2

E. -7

*F. 4


1st

Correct Feedback


The correct answers are: -3 and 4.

Question 5b of 14 ( 3 Using the Zero Product Rule 244666 )

Maximum Attempts: 1


Maximum Score: 2


x2 + 5x - 8 = 4x + 4

Correct Answers:

Choice

A. -3

*B. -4

C. 5

D. -2

*E. 3

F. 4


1st

Correct Feedback



Question 5c of 14 ( 3 Using the Zero Product Rule 244667 )

Maximum Attempts: 1


Maximum Score: 2


x2 + 4x - 9 = x + 1

Correct Answers:

Choice

A. -3

B. -4

*C. -5

*D. 2

E. -7

F. 4


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


2x2 + 18x = 20

Correct Answers:

Choice

A. 20

B. -2

*C. 1

D. -2

*E. -10

F. -1


1st

Correct Feedback


The correct answers are: 1 and -10.


Maximum Attempts: 1


Maximum Score: 2


2x2 + 6x = 20

Correct Answers:

Choice

A. 20

*B. 2

C. 1

D. -2

E. -10

*F. -5


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


3x2 + 27x = 30

Correct Answers:

Choice

A. 10

B. -2

*C. 1

D. -2

*E. -10

F. -1


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


6x2 - 2x + 36 = 5x2 + 10x

Correct Answers:

Choice

A. 4

*B. 6

C. -3

D. -4

E. 18

F. -6


1st

Correct Feedback


The correct answer is: 6.


Maximum Attempts: 1


Maximum Score: 2


5x2 - 2x + 16 = 4x2 + 6x

Correct Answers:

Choice

*A. 4

B. 6

C. -3

D. -4

E. 18

F. -6


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


9x2 - 2x + 25 = 8x2 + 8x

Correct Answers:

Choice

A. 4

B. 6

C. -3

*D. 5

E. 25

F. -5


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


x2 - 3x + 27 = 8x - 3

Correct Answers:

Choice

A. 4

B. -5

*C. 6

D. -6

E. -2

*F. 5


1st

Correct Feedback


The correct answers are: 6 and 5.


Maximum Attempts: 1


Maximum Score: 2


x2 - 3x + 16 = 6x - 4

Correct Answers:

Choice

*A. 4

B. -5

*C. 5

D. -6

E. -2

F. 6


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


x2 - 3x + 27 = 8x - 3

Correct Answers:

Choice

A. 4

B. -5

*C. 6

D. -6

E. -2

*F. 5


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


x2 + 4x + 4 = 9

Correct Answers:

Choice

*A. -5

B. 3

*C. 1

D. -3

E. 2

F. -1


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


x2 + 5x + 3 = 9

Correct Answers:

Choice

A. -5

B. 3

*C. 1

D. -3

*E. -6

F. -1


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


x2 + 3x + 3 = 7

Correct Answers:

Choice

A. -5

B. 3

*C. 1

D. -3

E. 2

*F. -4


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


(2x + 3)2 = 1

Correct Answers:

Choice

A.

B. 3

*C. -2

D. 1

E. -3

*F. -1


1st

Correct Feedback


The correct answers are: -2 and -1.


Maximum Attempts: 1


Maximum Score: 2


(2x - 3)2 = 1

Correct Answers:

Choice

A.

B. 3

C. -2

*D. 1

*E. 2

F. -1


1st

Correct Feedback




Maximum Attempts: 1


Maximum Score: 2


(2x + 5)2 = 1

Correct Answers:

Choice

A. 5

B. 3

*C. -2

D. 1

E. 2

*F. -3


1st

Correct Feedback


The correct answers are: -2 and -3.

Question 11a of 14 ( 2 Methods of Solving Quadratic Equations 145200 )

Maximum Attempts: 1


Maximum Score: 2

Question: Which of the following are techniques you have learned so far to solve a quadratic equation? Check all that

apply.

Correct Answers:

Choice

*A. Solve by factoring.

B. Solve by substitution.

C. Solve by forming sums of squares.

*D. Solve by taking the square

root of both sides.


1st

Correct Feedback


The correct answers are:

Solve by factoring.

Solve by taking the square root of both

sides.

Question 11b of 14 ( 2 Methods of Solving Quadratic Equations 244678 )

Maximum Attempts: 1


Maximum Score: 2


apply.

Correct Answers:

Choice





root of both sides.


1st

Correct Feedback



Solve by factoring.


sides.

Question 11c of 14 ( 2 Methods of Solving Quadratic Equations 244679 )

Maximum Attempts: 1


Maximum Score: 2


apply.

Correct Answers:

Choice





root of both sides.


1st

Correct Feedback



Solve by factoring.


sides.


Maximum Attempts: 1

Question Type: Multiple Choice

Maximum Score: 2

Question: What would be the most logical first step to solve this quadratic equation?

x2 + 2x - 11 = 4

Choice Feedback

A. Take the square root of both sides.

*B. Subtract 4 from both sides.

C. Add 11 to both sides.

D. Make the left side into a perfect square.


The correct answer is: Subtract 4 from both sides.


Maximum Attempts: 1


Maximum Score: 2


x2 + 2x - 14 = 6

Choice Feedback

A. Take the square root of both sides.

B. Add 14 to both sides.

*C. Subtract 6 from both sides.



The correct answer is: Subtract 6 from both sides.


Maximum Attempts: 1


Maximum Score: 2


x2 + 2x + 13 = -8

Choice Feedback

A. Subtract 13 from both sides.

B. Take the square root of both sides.

*C. Add 8 to both sides.



The correct answer is: Add 8 to both sides.


Maximum Attempts: 1


Maximum Score: 2


(x - 2)2 = 16

Choice Feedback

*A. Take the square root of both sides.

B. Subtract 16 from both sides so you can immediately factor.


D. Make a difference of squares so you can immediately factor.


The correct answer is: Take the square root of both sides.


Maximum Attempts: 1


Maximum Score: 2


(x - 3)2 = 25

Choice Feedback

A. Make a difference of squares so you can immediately factor.



*D. Take the square root of both sides.


The correct answer is: Take the square root of

both sides.


Maximum Attempts: 1


Maximum Score: 2


(x + 5)2 = 36

Choice Feedback

A. Subtract 5 from both sides.


*C. Take the square root of both sides.

D. Make a difference of squares so you can immediately factor.


The correct answer is: Take the square root of both sides.

Question 14a of 14 ( 1 Solving Perfect Square Trinomials 145203 )

Maximum Attempts: 1


Maximum Score: 2

Question: Which choice is the solution to the equation below?

(x - 2)2 = 16

Choice Feedback

A. x = 1 or x = 2

B. x = -3 or x = 2

C. x = 4 or x = 2

*D. x = -2 or x = 6


The correct answer is: x = -2 or x = 6.

Question 14b of 14 ( 1 Solving Perfect Square Trinomials 244684 )

Maximum Attempts: 1


Maximum Score: 2


(x - 3)2 = 25

Choice Feedback

A. x = 1 or x = 2

B. x = 3 or x = 5

*C. x = 8 or x = -2

D. x = -2 or x = 6


The correct answer is: x = 8 or x = -2.

Question 14c of 14 ( 1 Solving Perfect Square Trinomials 244685 )

Maximum Attempts: 1


Maximum Score: 2


(x - 1)2 = 9

Choice Feedback

A. x = 1 or x = 2

B. x = -3 or x = 2

*C. x = 4 or x = -2

D. x = -2 or x = 6


The correct answer is: x = 4 or x = -2.

3.4.4

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Transcript of 3.4.4