-
Notifications
You must be signed in to change notification settings - Fork 1
/
4b3b3cee-527c-4291-9301-373931fa4a51.html
124 lines (124 loc) · 5.09 KB
/
4b3b3cee-527c-4291-9301-373931fa4a51.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
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
<h4>Activity</h4><br>
<p>Consider the inequality \( -\frac12 x + 6 < 4x−3 \). Let’s look at another way to find its solutions.</p>
<!--BEGIN ADD DESMOS INTERATIVE-->
<!--START QUESTION #1 -->
<ol class="os-raise-noindent" start="1">
<li>Use the graphing tool or technology outside the course. Graph \(y=-\frac12 x + 6 \)and \(y=4x−3\) on the same coordinate plane using the Desmos tool below. </li>
</ol>
<br>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<!--question moved outside of interactino due to DESMOS -->
</div>
<div class="os-raise-ib-cta-prompt">
<p>When you have finished graphing, select the <strong>solution</strong> button to compare your work. </p>
</div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
<p>Compare your answer:</p>
<!--REPLACE IMAGE BELOW WITH CORRECT IMAGE-->
<img alt height="248" role="presentation" src="https://k12.openstax.org/contents/raise/resources/3de7e6fae22f182297a1b8cbf6f6733973a8005f" width="275">
<br>
<br>
</div>
<!--END ADD DESMOS INTERATIVE-->
<!-- BEGIN TEXT ENTRY WITH REVEAL -->
<br>
<p>Use your graphs to answer the following questions:</p>
<!--Q#2-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="ad94411c-b184-40aa-9eb7-a4433de17bce" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li>Find the values of \( -\frac {1}{2}x+6 \) and \( 4x-3 \) when \( x \) is 1.</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>When \( x \) is 1, find the value of \( - \frac{1}{2} x+6 \) is \( 5 \frac{1}{2} \), and the value of \( 4x-3 \) is 1.</p>
</div>
</div>
<!--Interaction End -->
<br>
<!-- END TEXT ENTRY WITH REVEAL -->
<!-- BEGIN TEXT ENTRY WITH REVEAL -->
<br>
<!--Q#3-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="395f5590-7376-4a08-b2e9-133eb92036e1" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>What value of \( x \) makes \( -\frac {1}{2}x+6 \) and \( 4x-3 \) equal?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>When \( x \) is equal to 2, the value of \( - \frac{1}{2} x+6 \) is equal to that of \( 4x-2 \).</p>
</div>
</div>
<!--Interaction End -->
<br>
<!-- END TEXT ENTRY WITH REVEAL -->
<!-- BEGIN TEXT ENTRY WITH REVEAL -->
<br>
<!--Q#4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="7db57c0c-4a55-4d72-86e4-b3f28745d2e6" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>For what values of \( x \) is \( - \frac12 x + 6 \) less than \( 4x−3 \)?
</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>When \( x \) is greater than 2, the value of \( - \frac{1}{2} x+6 \) is less than that of \(4x-3\).</p>
</div>
</div>
<!--Interaction End -->
<br>
<!-- END TEXT ENTRY WITH REVEAL -->
<!-- BEGIN TEXT ENTRY WITH REVEAL -->
<br>
<!--Q#5-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="889071e1-9d49-4eb1-9b3c-e9a8d91f1c89" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="5">
<li>For what values of \( x \) is \( - \frac12 x + 6 \) greater than \( 4x−3 \)?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>When \( x \) is less than 2, the value of \( - \frac{1}{2} x+6 \) is greater than that of \( 4x-3 \).</p>
</div>
</div>
<!--Interaction End -->
<br>
<!-- END TEXT ENTRY WITH REVEAL -->
<br>
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="de9e64f3-da76-478f-8460-56af4f1dd59f" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="6">
<li>What is the solution to the inequality \( - \frac12 x+ 6 < 4x−3 \)? Be prepared to explain how you know.</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer: \( x >2 \)</p>
</div>
</div>
<!--Interaction End -->