This repository has been archived by the owner on May 11, 2021. It is now read-only.
-
Notifications
You must be signed in to change notification settings - Fork 863
/
one_step_equations.html
138 lines (135 loc) · 6.54 KB
/
one_step_equations.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
125
126
127
128
129
130
131
132
133
134
135
136
137
138
<!DOCTYPE html>
<html data-require="math math-format expressions">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>One step equations</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars" data-ensure="A !== B">
<var id="X">randVar()</var>
<var id="A">randRangeNonZero(-30, 29)</var>
<var id="B">abs(randRangeNonZero(A, 30))</var>
</div>
<p class="question">Solve for <code><var>X</var></code>:</p>
<div class="solution" data-type="multiple">
<p><code><var>X</var>=</code> <span class="sol" data-forms="integer"><var>B - A</var></span></p>
</div>
<div class="problems">
<div id="a-x-eq-b">
<p class="problem"><code><var>A</var> + <var>X</var> = <var>B</var></code></p>
<div class="hints">
<div>
<p>
<span data-if="A < 0"><span class="hint_red">Add <code><var>abs(A)</var></code></span> to both sides:</span>
<span data-else=""><span class="hint_red">Subtract <code><var>abs(A)</var></code></span> from both sides:</span>
</p><p><code>\qquad
\begin{eqnarray} \\
<var>A</var> + <var>X</var> &=& <var>B</var> \\ \\
\red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>} && \red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>}
\end{eqnarray}
</code></p>
</div>
<div>
<p></p><p><code>\qquad
\begin{eqnarray}
\hphantom{<var>A</var> + <var>X</var>} &\hphantom{=}& \hphantom{<var>B</var>} \\
<var>X</var> &=& <var>B</var> \red{- <var>A</var>} \\
\end{eqnarray}
</code></p>
</div>
<div>
<p>Simplify.</p>
<p><code>\qquad <var>X</var> = <var>B - A</var></code></p>
</div>
</div>
</div>
<div id="x-a-eq-b">
<p class="problem"><code><var>X</var> + <var>A</var> = <var>B</var></code></p>
<div class="hints">
<div>
<p>
<span data-if="A < 0"><span class="hint_red">Add <code><var>abs(A)</var></code></span> to both sides:</span>
<span data-else=""><span class="hint_red">Subtract <code><var>abs(A)</var></code></span> from both sides:</span>
</p><p><code>\qquad
\begin{eqnarray} \\
<var>X</var> + <var>A</var> &=& <var>B</var> \\ \\
\red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>} && \red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>}
\end{eqnarray}
</code></p>
</div>
<div>
<p></p><p><code>\qquad
\begin{eqnarray}
\hphantom{<var>A</var> + <var>X</var>} &\hphantom{=}& \hphantom{<var>B</var>} \\
<var>X</var> &=& <var>B</var> \red{- <var>A</var>} \\
\end{eqnarray}
</code></p>
</div>
<div>
<p>Simplify.</p>
<p><code>\qquad <var>X</var> = <var>B - A</var></code></p>
</div>
</div>
</div>
<div id="b-eq-a-x">
<p class="problem"><code><var>B</var> = <var>A</var> + <var>X</var></code></p>
<div class="hints">
<div>
<p>
<span data-if="A < 0"><span class="hint_red">Add <code><var>abs(A)</var></code></span> to both sides:</span>
<span data-else=""><span class="hint_red">Subtract <code><var>abs(A)</var></code></span> from both sides:</span>
</p><p><code>\qquad
\begin{eqnarray} \\
\hphantom{<var>B</var> \red{- <var>A</var>}} &\hphantom{=}& \hphantom{<var>X</var>} \\
<var>B</var> &=& <var>A</var> + <var>X</var> \\ \\
\red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>} && \red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>} \\
\end{eqnarray}
</code></p>
</div>
<div>
<p></p><p><code>\qquad
\begin{eqnarray} \\
<var>B</var> \red{- <var>A</var>} &=& <var>X</var> \\
\end{eqnarray}
</code></p>
</div>
<div>
<p>Simplify.</p>
<p><code>\qquad <var>X</var> = <var>B - A</var></code></p>
</div>
</div>
</div>
<div id="b-eq-x-a">
<p class="problem"><code><var>B</var> = <var>X</var> + <var>A</var></code></p>
<div class="hints">
<div>
<p>
<span data-if="A < 0"><span class="hint_red">Add <code><var>abs(A)</var></code></span> to both sides:</span>
<span data-else=""><span class="hint_red">Subtract <code><var>abs(A)</var></code></span> from both sides:</span>
</p><p><code>\qquad
\begin{eqnarray} \\
\hphantom{<var>B</var> \red{- <var>A</var>}} &\hphantom{=}& \hphantom{<var>X</var>} \\
<var>B</var> &=& <var>X</var> + <var>A</var> \\ \\
\red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>} && \red{<var>A < 0 ? "+" : "-"</var><var>abs(A)</var>} \\
\end{eqnarray}
</code></p>
</div>
<div>
<p></p><p><code>\qquad
\begin{eqnarray} \\
<var>B</var> \red{- <var>A</var>} &=& <var>X</var> \\
\end{eqnarray}
</code></p>
</div>
<div>
<p>Simplify.</p>
<p><code>\qquad <var>X</var> = <var>B - A</var></code></p>
</div>
</div>
</div>
</div>
</div>
</body>
</html>