-
Notifications
You must be signed in to change notification settings - Fork 1
/
34fefff8-4103-4c58-9047-51109416250e.html
94 lines (94 loc) · 4.95 KB
/
34fefff8-4103-4c58-9047-51109416250e.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
<h4>Warm Up Activity</h4>
<p>What values of the variables make each equation true?</p>
<div class="os-raise-ib-pset" data-button-text="Solution" data-content-id="5b3c7463-9db4-4bf5-a56d-2da0188aa0dc" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="8ad43010-4e4f-445c-9428-d077659343f1" data-problem-comparator="integer" data-problem-type="input" data-solution="-3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>\(6+2a=0\)</li>
</ol>
<p>Enter the value of a.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(– 3\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is -3 </p>
</div>
</div>
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="5a986493-88af-432e-8330-00139cfbe17e" data-problem-comparator="integer" data-problem-type="input" data-solution="0">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>\(7b=0\)</li>
</ol>
<p>Enter the value of b.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(0\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 0.</p>
</div>
</div>
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="81cbe54c-941e-4369-a118-64ef330c2b6c" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>\(7(c−5)=0\)</li>
</ol>
<p>Enter the value of c.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(3\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 3.</p>
</div>
</div>
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="3c031f12-8a5b-4bc4-b1f4-bffffb2e1cd5" data-problem-type="multiselect" data-solution='["\\(g=0\\). In other words, g equals zero and h may be any real number.", "\\(h=0\\). In other words, h equals zero and g may be any real number.", "\\(g=h=0\\). In other words, both g and h are equal to zero."]' data-solution-options='["\\(g=0\\). In other words, g equals zero and h may be any real number.", "\\(h=0\\). In other words, h equals zero and g may be any real number.", "\\(g=h=0\\). In other words, both g and h are equal to zero.", "\\(g \\neq 0\\), \\(h \\neq 0\\). In other words, neither g nor h are equal to zero."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li> Determine which of the statements are true if \(g \cdot h=0\). HINT: There may be more than one statement that is true. </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The answer is (g=0\), \(h=0\), and \(g=h=0\). Either \(g=0\) or \(h=0\). But also, notice, if \(g=0\) and \(h=0\) at the same time, you can also say that \(g = h = 0\).</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is \(g=0\), \(h=0\), and \(g=h=0\)
Either \(g=0\) or \(h=0\). But also, notice, if \(g=0\) and \(h=0\) at the same time, you can also say that \(g = h = 0\).</p>
</div>
</div>
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="324d470c-bc9e-41d8-82aa-22b2fa36e616" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="5">
<li>What did you notice about one of the factors in each of the previous problems?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter what you noticed.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p> At least one of the factors in each equation was 0 or equivalent to 0.</p>
</div>
</div>
<!--Interaction End -->
<br>
<p>We will use the <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">zero product property</span> to help solve <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">quadratic equations</span> throughout this lesson.</p>
<br>
<div class="os-raise-graybox">
<p class="os-raise-text-bold"> ZERO PRODUCT PROPERTY</p>
<p>If the product of two expressions is 0, then one or both of the expressions equal 0.</p>
<p>If \(ab=0\), then \(a=0\) or \(b=0\), or \(a=b=0\).</p>
</div>