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4.6 Solving Quadratics Review (2/26/24)

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37 questions
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Essential Question: What are other methods of solving quadratic functions besides factoring?


Learning Target: Students will be able to solve quadratic equations that model real-world situations.


Complete the entire assignment and show work for full credit. You will be required to upload your work on certain questions.


When answering question that require writing, use complete sentences that are in your own words.

Day 1 1-13-26

Solve by Square Root Property

Question 1
1.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 2
2.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 3
3.

Solve each Quadratic Equation (Don't use the variable in your answer.)
You need to upload your work for credit.



1st solution=_____

2nd solution=_____

Question 4
4.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 5
5.
Solve each Quadratic Equation (Don't use the variable in your answer.)



1st solution_______

2nd solution_______
Question 6
6.

Solve each Quadratic Equation (Don't use the variable in your answer.)

You need to upload your work for credit.



1st solution

2nd solution

Question 7
7.
Solve each Quadratic Equation (Don't use the variable in your answer.)



1st solution_______

2nd solution_______
Question 8
8.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 9
9.
Solve each Quadratic Equation (Don't use the variable in your answer.)



1st solution_______

2nd solution_______
Question 10
10.

Solve each Quadratic Equation (Don't use the variable in your answer.)
You need to upload your work for credit.


1st solution

2nd solution

Question 11
11.
Solve each Quadratic Equation (Don't use the variable in your answer.)



1st solution_______

2nd solution_______
Question 12
12.
Solve each Quadratic Equation (Don't use the variable in your answer.)



1st solution_______

2nd solution_______
Question 13
13.
Solve each Quadratic Equation (Don't use the variable in your answer.)



1st solution_______

2nd solution_______
Question 14
14.

Solve each Quadratic Equation (Don't use the variable in your answer.)

You need to upload your work for credit.
1st solution=__

2nd solution=__

Question 15
15.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 16
16.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 17
17.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______
Question 18
18.
Solve each Quadratic Equation (Don't use the variable in your answer.)

1st solution_______

2nd solution_______
Question 19
19.
Solve each Quadratic Equation (Don't use the variable in your answer.)


1st solution_______

2nd solution_______

Day 2 1-14-26

Solve by Completing the Square

Question 20
20.
Complete the square to make a perfect square trinomial. Then write the result as a binomial squared:

x² - 26x+_______=0
Factors into:
(x - _______ )²=0
Question 21
21.
Complete the square to make a perfect square trinomial. Then write the result as a binomial squared:

y² - 8y+_______=0
Factors into:
(y - _______ )²=0
Question 22
22.
Complete the square to make a perfect square trinomial. Then write the result as a binomial squared:

p² +16p+_______=0
Factors into:
(p + _______ )²=0
Question 23
23.
Rewrite the function by completing the square.

f(x)=x² +16x + 131

can be rewritten as

f(x) = (x + 8)² + 131 - 64

which is simplified into

f(x) = (x + 8)² + _______
Question 24
24.
Rewrite the function by completing the square.

f(x)=x² - 6x + 50

can be rewritten as

f(x) = (x - 3)² + 50 - 9

which is simplified into

f(x) = (x - 3)² + _______
Question 25
25.
Rewrite the function by completing the square.

f(x)=x² - 10x - 96

can be rewritten as

f(x) = (x _______ )² _______
Question 26
26.
Rewrite the equationby completing the square.

x² + 4x = 0

can be rewritten as

(x _______ )² = _______
Question 27
27.
Rewrite the equationby completing the square.

x² - 12x = 6

can be rewritten as

(x _______ )² = _______
Question 28
28.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)
1st solution_______

2nd solution_______
Question 29
29.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)

1st solution_______

2nd solution_______
Question 30
30.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)

1st solution_______

2nd solution_______
Question 31
31.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)
1st solution_______

2nd solution_______
Question 32
32.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)

1st solution_______

2nd solution_______
Question 33
33.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)

1st solution_______

2nd solution_______
Question 34
34.
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)

1st solution_______

2nd solution_______

Learning Log

Required
5
Question 35
35.

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5
Question 36
36.

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10
Question 37
37.