Match each equation on the left with the equivalent equation on the right. (Note: one of the equations on the right will not be used.)
Draggable item
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Corresponding Item
(x - 1)2 = 12
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x2 - 2x = 11
x2 - 2x + 1 = 0
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(x + 4)2 = 12
x2 + 8x = 2
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x2 + 8x = 0
(x - 1)2 = 11
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(x - 1)2 = 0
(x + 4)2 = 16
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x2 - 2x = 10
x2 + 8x = -4
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(x + 4)2 = 18
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(x + 4)2 = -4
1 point
1
Question 2
2.
Solve the equation x2 + 14x = - 24 by completing the square.
1 point
1
Question 3
3.
Solve the equation x2 + 14x = - 24 with The Quadratic Formula.
1 point
1
Question 4
4.
What is one solution to the equation x2 + 14x = -24?
1 point
1
Question 5
5.
What is the other solution to the equation x2 + 14x = -24?
1 point
1
Question 6
6.
What is the value of a for the given application of The Quadratic Formula?
1 point
1
Question 7
7.
What is the value of b for the given application of The Quadratic Formula?
1 point
1
Question 8
8.
What is the value of c for the given application of The Quadratic Formula?
1 point
1
Question 9
9.
Write an equation below that could be solve by this application of The Quadratic Formula?
1 point
1
Question 10
10.
Fill in the blank to make the expression a complete square: a2 + 18a + ____.
1 point
1
Question 11
11.
Fill in the blank to make the expression a complete square: (3b + 5)( ____ + 5).
1 point
1
Question 12
12.
Fill in the blank to make the expression a complete square: c2 - ____c + 64.
1 point
1
Question 13
13.
Fill in the blank to make the expression a complete square: 9x2 + 12x + ____.
1 point
1
Question 14
14.
Fill in the blank to make the expression a complete square: (6e - ____ )(6e - 11).
1 point
1
Question 15
15.
Fill in the blank to make the expression a complete square: f2 - 10f + ____.
1 point
1
Question 16
16.
Fill in the blank space to solve the equation 2x2 - 3x + 3 = 17 with The Quadratic Formula.
1 point
1
Question 17
17.
Fill in the blank space to solve the equation 2x2 - 3x + 3 = 17 with The Quadratic Formula.
1 point
1
Question 18
18.
Fill in the blank space to solve the equation 2x2 - 3x + 3 = 17 with The Quadratic Formula.
1 point
1
Question 19
19.
Fill in the blank space to solve the equation 2x2 - 3x + 3 = 17 with The Quadratic Formula.
1 point
1
Question 20
20.
Fill in the blank space to solve the equation 2x2 - 3x + 3 = 17 with The Quadratic Formula.
1 point
1
Question 21
21.
What is one solution to the equation 2x2 - 3x + 3 = 17?
1 point
1
Question 22
22.
What is the other solution to the equation 2x2 - 3x + 3 = 17?
1 point
1
Question 23
23.
What is the exact solution to the equation a2 + 4a = 7 using
notation?
1 point
1
Question 24
24.
What is one approximate solution to the equation a2 + 4a = 7? (round to the nearest hundredth.)
1 point
1
Question 25
25.
What is the other approximate solution to the equation a2 + 4a = 7? (round to the nearest hundredth.)
1 point
1
Question 26
26.
What is the exact solution to the equation b2 - b - 3.5 = 0 using
notation?
1 point
1
Question 27
27.
What is one approximate solution to the equation b2 - b - 3.5 = 0? (round to the nearest hundredth.)
1 point
1
Question 28
28.
What is the other approximate solution to the equation b2 - b - 3.5 = 0? (round to the nearest hundredth.)
1 point
1
Question 29
29.
What is the exact solution to the equation 3c2 + 11c + 4 = -3 using
notation?
1 point
1
Question 30
30.
What is one approximate solution to the equation 3c2 + 11c + 4 = -3? (round to the nearest hundredth.)
1 point
1
Question 31
31.
What is the other approximate solution to the equation 3c2 + 11c + 4 = -3? (round to the nearest hundredth.)
1 point
1
Question 32
32.
The function h(t) = -16t2 + 192t + 30 models the height of an object, in feet, t seconds after it was launched. How fast (in ft./sec.) is the object traveling at the moment it is launched?
1 point
1
Question 33
33.
The function h(t) = -16t2 + 192t + 30 models the height of an object, in feet, t seconds after it was launched. What is the object's height (in feet) at the moment it is launched?
1 point
1
Question 34
34.
The function h(t) = -16t2 + 192t + 30 models the height of an object, in feet, t seconds after it was launched. The object hits 350 feet twice. Write an equation that could be solved to find how long it takes for the object to be 350 feet above the ground.
1 point
1
Question 35
35.
Solve your equation. What is one time that the object is at exactly 350 feet above ground?
1 point
1
Question 36
36.
What is the other time that the object is at exactly 350 feet above ground?
1 point
1
Question 37
37.
How long (in seconds) does it take for the object to reach its maximum height?
1 point
1
Question 38
38.
What is the maximum height of the object?
1 point
1
Question 39
39.
Rewrite the function f(x) = x2 + 6x + 20 in vertex form. (Don't forget to write "f(x) ="!)
1 point
1
Question 40
40.
What is the coordinate of the vertex of the function f(x) = x2 + 6x + 20?
1 point
1
Question 41
41.
Rewrite the function g(x) = x2 - 24x - 6 in vertex form. (Don't forget to write "g(x) ="!)
1 point
1
Question 42
42.
What is the coordinate of the vertex of the function g(x) = x2 - 24x - 6?
1 point
1
Question 43
43.
Rewrite the function h(x) = x2 + 5x + 11 in vertex form. (Don't forget to write "h(x) ="!)
1 point
1
Question 44
44.
What is the coordinate of the vertex of the function h(x) = x2 + 5x + 11?
