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1
+ {"id": "algebra-1_T1_164", "domain": "algebra-1", "type": "T1_entity", "query": "What is Axis of Symmetry?", "ground_truth": ["Axis of Symmetry", "QUAD"], "concept_id": 164, "hop_depth": 0}
2
+ {"id": "algebra-1_T1_29", "domain": "algebra-1", "type": "T1_entity", "query": "What is Quotient Rule for Exponents?", "ground_truth": ["Quotient Rule for Exponents", "EXP"], "concept_id": 29, "hop_depth": 0}
3
+ {"id": "algebra-1_T1_7", "domain": "algebra-1", "type": "T1_entity", "query": "What is Equation?", "ground_truth": ["Equation", "FOUND"], "concept_id": 7, "hop_depth": 0}
4
+ {"id": "algebra-1_T1_190", "domain": "algebra-1", "type": "T1_entity", "query": "What is Graphing Exponentials?", "ground_truth": ["Graphing Exponentials", "QUAD"], "concept_id": 190, "hop_depth": 0}
5
+ {"id": "algebra-1_T1_71", "domain": "algebra-1", "type": "T1_entity", "query": "What is Solving Equations?", "ground_truth": ["Solving Equations", "LIN"], "concept_id": 71, "hop_depth": 0}
6
+ {"id": "algebra-1_T1_63", "domain": "algebra-1", "type": "T1_entity", "query": "What is Prime Factorization?", "ground_truth": ["Prime Factorization", "FACT"], "concept_id": 63, "hop_depth": 0}
7
+ {"id": "algebra-1_T1_58", "domain": "algebra-1", "type": "T1_entity", "query": "What is Factoring by GCF?", "ground_truth": ["Factoring by GCF", "FACT"], "concept_id": 58, "hop_depth": 0}
8
+ {"id": "algebra-1_T1_36", "domain": "algebra-1", "type": "T1_entity", "query": "What is Evaluating Expressions?", "ground_truth": ["Evaluating Expressions", "FOUND"], "concept_id": 36, "hop_depth": 0}
9
+ {"id": "algebra-1_T1_189", "domain": "algebra-1", "type": "T1_entity", "query": "What is Comparing Linear and Exponential?", "ground_truth": ["Comparing Linear and Exponential", "QUAD"], "concept_id": 189, "hop_depth": 0}
10
+ {"id": "algebra-1_T1_27", "domain": "algebra-1", "type": "T1_entity", "query": "What is Zero Exponent?", "ground_truth": ["Zero Exponent", "EXP"], "concept_id": 27, "hop_depth": 0}
11
+ {"id": "algebra-1_T1_174", "domain": "algebra-1", "type": "T1_entity", "query": "What is Quadratic Formula?", "ground_truth": ["Quadratic Formula", "QUAD"], "concept_id": 174, "hop_depth": 0}
12
+ {"id": "algebra-1_T1_140", "domain": "algebra-1", "type": "T1_entity", "query": "What is Undefined Slope?", "ground_truth": ["Undefined Slope", "GRAPH"], "concept_id": 140, "hop_depth": 0}
13
+ {"id": "algebra-1_T1_23", "domain": "algebra-1", "type": "T1_entity", "query": "What is Power?", "ground_truth": ["Power", "EXP"], "concept_id": 23, "hop_depth": 0}
14
+ {"id": "algebra-1_T1_152", "domain": "algebra-1", "type": "T1_entity", "query": "What is Graphing Method?", "ground_truth": ["Graphing Method", "SYS"], "concept_id": 152, "hop_depth": 0}
15
+ {"id": "algebra-1_T1_109", "domain": "algebra-1", "type": "T1_entity", "query": "What is Independent Variable?", "ground_truth": ["Independent Variable", "FUNC"], "concept_id": 109, "hop_depth": 0}
16
+ {"id": "algebra-1_T1_9", "domain": "algebra-1", "type": "T1_entity", "query": "What is Order of Operations?", "ground_truth": ["Order of Operations", "PROP"], "concept_id": 9, "hop_depth": 0}
17
+ {"id": "algebra-1_T1_8", "domain": "algebra-1", "type": "T1_entity", "query": "What is Inequality?", "ground_truth": ["Inequality", "FOUND"], "concept_id": 8, "hop_depth": 0}
18
+ {"id": "algebra-1_T1_24", "domain": "algebra-1", "type": "T1_entity", "query": "What is Integer Exponents?", "ground_truth": ["Integer Exponents", "EXP"], "concept_id": 24, "hop_depth": 0}
19
+ {"id": "algebra-1_T1_56", "domain": "algebra-1", "type": "T1_entity", "query": "What is Factoring?", "ground_truth": ["Factoring", "FACT"], "concept_id": 56, "hop_depth": 0}
20
+ {"id": "algebra-1_T1_60", "domain": "algebra-1", "type": "T1_entity", "query": "What is Factoring Difference of Squares?", "ground_truth": ["Factoring Difference of Squares", "FACT"], "concept_id": 60, "hop_depth": 0}
21
+ {"id": "algebra-1_T1_130", "domain": "algebra-1", "type": "T1_entity", "query": "What is X-Intercept?", "ground_truth": ["X-Intercept", "GRAPH"], "concept_id": 130, "hop_depth": 0}
22
+ {"id": "algebra-1_T1_155", "domain": "algebra-1", "type": "T1_entity", "query": "What is Linear Combination?", "ground_truth": ["Linear Combination", "SYS"], "concept_id": 155, "hop_depth": 0}
23
+ {"id": "algebra-1_T1_198", "domain": "algebra-1", "type": "T1_entity", "query": "What is Linear Regression?", "ground_truth": ["Linear Regression", "DATA"], "concept_id": 198, "hop_depth": 0}
24
+ {"id": "algebra-1_T1_144", "domain": "algebra-1", "type": "T1_entity", "query": "What is Horizontal Line?", "ground_truth": ["Horizontal Line", "GRAPH"], "concept_id": 144, "hop_depth": 0}
25
+ {"id": "algebra-1_T1_51", "domain": "algebra-1", "type": "T1_entity", "query": "What is Multiplying Polynomials?", "ground_truth": ["Multiplying Polynomials", "POLY"], "concept_id": 51, "hop_depth": 0}
26
+ {"id": "algebra-1_T1_167", "domain": "algebra-1", "type": "T1_entity", "query": "What is Standard Form of Quadratic?", "ground_truth": ["Standard Form of Quadratic", "QUAD"], "concept_id": 167, "hop_depth": 0}
27
+ {"id": "algebra-1_T1_192", "domain": "algebra-1", "type": "T1_entity", "query": "What is Scatterplot?", "ground_truth": ["Scatterplot", "DATA"], "concept_id": 192, "hop_depth": 0}
28
+ {"id": "algebra-1_T1_108", "domain": "algebra-1", "type": "T1_entity", "query": "What is Evaluating Functions?", "ground_truth": ["Evaluating Functions", "FUNC"], "concept_id": 108, "hop_depth": 0}
29
+ {"id": "algebra-1_T1_57", "domain": "algebra-1", "type": "T1_entity", "query": "What is Greatest Common Factor?", "ground_truth": ["Greatest Common Factor", "FACT"], "concept_id": 57, "hop_depth": 0}
30
+ {"id": "algebra-1_T1_115", "domain": "algebra-1", "type": "T1_entity", "query": "What is Step Function?", "ground_truth": ["Step Function", "FUNC"], "concept_id": 115, "hop_depth": 0}
31
+ {"id": "algebra-1_T1_151", "domain": "algebra-1", "type": "T1_entity", "query": "What is Dependent System?", "ground_truth": ["Dependent System", "SYS"], "concept_id": 151, "hop_depth": 0}
32
+ {"id": "algebra-1_T1_72", "domain": "algebra-1", "type": "T1_entity", "query": "What is One-Step Equations?", "ground_truth": ["One-Step Equations", "LIN"], "concept_id": 72, "hop_depth": 0}
33
+ {"id": "algebra-1_T1_2", "domain": "algebra-1", "type": "T1_entity", "query": "What is Variable?", "ground_truth": ["Variable", "FOUND"], "concept_id": 2, "hop_depth": 0}
34
+ {"id": "algebra-1_T1_41", "domain": "algebra-1", "type": "T1_entity", "query": "What is Expanding Expressions?", "ground_truth": ["Expanding Expressions", "POLY"], "concept_id": 41, "hop_depth": 0}
35
+ {"id": "algebra-1_T1_186", "domain": "algebra-1", "type": "T1_entity", "query": "What is Initial Value?", "ground_truth": ["Initial Value", "QUAD"], "concept_id": 186, "hop_depth": 0}
36
+ {"id": "algebra-1_T1_88", "domain": "algebra-1", "type": "T1_entity", "query": "What is Consecutive Integers?", "ground_truth": ["Consecutive Integers", "DATA"], "concept_id": 88, "hop_depth": 0}
37
+ {"id": "algebra-1_T1_169", "domain": "algebra-1", "type": "T1_entity", "query": "What is Graphing Quadratics?", "ground_truth": ["Graphing Quadratics", "QUAD"], "concept_id": 169, "hop_depth": 0}
38
+ {"id": "algebra-1_T1_40", "domain": "algebra-1", "type": "T1_entity", "query": "What is Simplifying Expressions?", "ground_truth": ["Simplifying Expressions", "POLY"], "concept_id": 40, "hop_depth": 0}
39
+ {"id": "algebra-1_T1_182", "domain": "algebra-1", "type": "T1_entity", "query": "What is Exponential Growth?", "ground_truth": ["Exponential Growth", "QUAD"], "concept_id": 182, "hop_depth": 0}
40
+ {"id": "algebra-1_T1_87", "domain": "algebra-1", "type": "T1_entity", "query": "What is Applications of Linear Equations?", "ground_truth": ["Applications of Linear Equations", "DATA"], "concept_id": 87, "hop_depth": 0}
41
+ {"id": "algebra-1_T1_191", "domain": "algebra-1", "type": "T1_entity", "query": "What is Data Set?", "ground_truth": ["Data Set", "DATA"], "concept_id": 191, "hop_depth": 0}
42
+ {"id": "algebra-1_T1_183", "domain": "algebra-1", "type": "T1_entity", "query": "What is Exponential Decay?", "ground_truth": ["Exponential Decay", "QUAD"], "concept_id": 183, "hop_depth": 0}
43
+ {"id": "algebra-1_T1_98", "domain": "algebra-1", "type": "T1_entity", "query": "What is Or Inequalities?", "ground_truth": ["Or Inequalities", "LIN"], "concept_id": 98, "hop_depth": 0}
44
+ {"id": "algebra-1_T1_25", "domain": "algebra-1", "type": "T1_entity", "query": "What is Rational Exponents?", "ground_truth": ["Rational Exponents", "EXP"], "concept_id": 25, "hop_depth": 0}
45
+ {"id": "algebra-1_T1_92", "domain": "algebra-1", "type": "T1_entity", "query": "What is Linear Inequality?", "ground_truth": ["Linear Inequality", "LIN"], "concept_id": 92, "hop_depth": 0}
46
+ {"id": "algebra-1_T1_89", "domain": "algebra-1", "type": "T1_entity", "query": "What is Perimeter Problems?", "ground_truth": ["Perimeter Problems", "DATA"], "concept_id": 89, "hop_depth": 0}
47
+ {"id": "algebra-1_T1_68", "domain": "algebra-1", "type": "T1_entity", "query": "What is Sum of Cubes?", "ground_truth": ["Sum of Cubes", "FACT"], "concept_id": 68, "hop_depth": 0}
48
+ {"id": "algebra-1_T1_12", "domain": "algebra-1", "type": "T1_entity", "query": "What is Distributive Property?", "ground_truth": ["Distributive Property", "PROP"], "concept_id": 12, "hop_depth": 0}
49
+ {"id": "algebra-1_T1_118", "domain": "algebra-1", "type": "T1_entity", "query": "What is Function Transformation?", "ground_truth": ["Function Transformation", "FUNC"], "concept_id": 118, "hop_depth": 0}
50
+ {"id": "algebra-1_T1_138", "domain": "algebra-1", "type": "T1_entity", "query": "What is Negative Slope?", "ground_truth": ["Negative Slope", "GRAPH"], "concept_id": 138, "hop_depth": 0}
51
+ {"id": "algebra-1_T2_35", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Simplifying Radicals?", "ground_truth": ["Radical Expression"], "concept_id": 35, "hop_depth": 1}
52
+ {"id": "algebra-1_T2_100", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Absolute Value Inequalities?", "ground_truth": ["Absolute Value Equations", "Inequality"], "concept_id": 100, "hop_depth": 1}
53
+ {"id": "algebra-1_T2_24", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Integer Exponents?", "ground_truth": ["Exponent", "Integers"], "concept_id": 24, "hop_depth": 1}
54
+ {"id": "algebra-1_T2_145", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Vertical Line?", "ground_truth": ["Graph of a Line", "Undefined Slope"], "concept_id": 145, "hop_depth": 1}
55
+ {"id": "algebra-1_T2_79", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Solving for a Variable?", "ground_truth": ["Literal Equations"], "concept_id": 79, "hop_depth": 1}
56
+ {"id": "algebra-1_T2_164", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Axis of Symmetry?", "ground_truth": ["Parabola"], "concept_id": 164, "hop_depth": 1}
57
+ {"id": "algebra-1_T2_162", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Parabola?", "ground_truth": ["Quadratic Function", "Graph of a Line"], "concept_id": 162, "hop_depth": 1}
58
+ {"id": "algebra-1_T2_96", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Compound Inequalities?", "ground_truth": ["Solving Linear Inequalities"], "concept_id": 96, "hop_depth": 1}
59
+ {"id": "algebra-1_T2_151", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Dependent System?", "ground_truth": ["Consistent System"], "concept_id": 151, "hop_depth": 1}
60
+ {"id": "algebra-1_T2_53", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Special Products?", "ground_truth": ["Multiplying Polynomials"], "concept_id": 53, "hop_depth": 1}
61
+ {"id": "algebra-1_T2_184", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Growth Factor?", "ground_truth": ["Exponential Growth"], "concept_id": 184, "hop_depth": 1}
62
+ {"id": "algebra-1_T2_21", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Exponent?", "ground_truth": ["Number"], "concept_id": 21, "hop_depth": 1}
63
+ {"id": "algebra-1_T2_15", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Integers?", "ground_truth": ["Number"], "concept_id": 15, "hop_depth": 1}
64
+ {"id": "algebra-1_T2_173", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Completing the Square?", "ground_truth": ["Quadratic Equation", "Perfect Square Trinomial"], "concept_id": 173, "hop_depth": 1}
65
+ {"id": "algebra-1_T2_62", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Factoring by Grouping?", "ground_truth": ["Factoring", "Polynomial"], "concept_id": 62, "hop_depth": 1}
66
+ {"id": "algebra-1_T2_78", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Literal Equations?", "ground_truth": ["Solving Equations", "Variable"], "concept_id": 78, "hop_depth": 1}
67
+ {"id": "algebra-1_T2_198", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Linear Regression?", "ground_truth": ["Line of Best Fit"], "concept_id": 198, "hop_depth": 1}
68
+ {"id": "algebra-1_T2_63", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Prime Factorization?", "ground_truth": ["Number"], "concept_id": 63, "hop_depth": 1}
69
+ {"id": "algebra-1_T2_29", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Quotient Rule for Exponents?", "ground_truth": ["Power"], "concept_id": 29, "hop_depth": 1}
70
+ {"id": "algebra-1_T2_101", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Relation?", "ground_truth": ["Variable"], "concept_id": 101, "hop_depth": 1}
71
+ {"id": "algebra-1_T2_75", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Variables on Both Sides?", "ground_truth": ["Multi-Step Equations"], "concept_id": 75, "hop_depth": 1}
72
+ {"id": "algebra-1_T2_120", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Reflection?", "ground_truth": ["Function Transformation"], "concept_id": 120, "hop_depth": 1}
73
+ {"id": "algebra-1_T2_166", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Minimum Value?", "ground_truth": ["Vertex"], "concept_id": 166, "hop_depth": 1}
74
+ {"id": "algebra-1_T2_97", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for And Inequalities?", "ground_truth": ["Compound Inequalities"], "concept_id": 97, "hop_depth": 1}
75
+ {"id": "algebra-1_T2_45", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Polynomial?", "ground_truth": ["Trinomial"], "concept_id": 45, "hop_depth": 1}
76
+ {"id": "algebra-1_T2_98", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Or Inequalities?", "ground_truth": ["Compound Inequalities"], "concept_id": 98, "hop_depth": 1}
77
+ {"id": "algebra-1_T2_94", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Graphing Inequalities?", "ground_truth": ["Linear Inequality", "Number Line"], "concept_id": 94, "hop_depth": 1}
78
+ {"id": "algebra-1_T2_57", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Greatest Common Factor?", "ground_truth": ["Polynomial"], "concept_id": 57, "hop_depth": 1}
79
+ {"id": "algebra-1_T2_72", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for One-Step Equations?", "ground_truth": ["Solving Equations", "Inverse Property"], "concept_id": 72, "hop_depth": 1}
80
+ {"id": "algebra-1_T2_169", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Graphing Quadratics?", "ground_truth": ["Parabola", "Plotting Points"], "concept_id": 169, "hop_depth": 1}
81
+ {"id": "algebra-1_T2_22", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Base?", "ground_truth": ["Exponent"], "concept_id": 22, "hop_depth": 1}
82
+ {"id": "algebra-1_T2_159", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Boundary Line?", "ground_truth": ["Graphing Systems"], "concept_id": 159, "hop_depth": 1}
83
+ {"id": "algebra-1_T2_178", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Imaginary Unit?", "ground_truth": ["Complex Numbers"], "concept_id": 178, "hop_depth": 1}
84
+ {"id": "algebra-1_T2_47", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Leading Coefficient?", "ground_truth": ["Polynomial", "Coefficient"], "concept_id": 47, "hop_depth": 1}
85
+ {"id": "algebra-1_T2_140", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Undefined Slope?", "ground_truth": ["Slope"], "concept_id": 140, "hop_depth": 1}
86
+ {"id": "algebra-1_T2_66", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Solving by Factoring?", "ground_truth": ["Zero Product Property", "Equation"], "concept_id": 66, "hop_depth": 1}
87
+ {"id": "algebra-1_T2_176", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Nature of Roots?", "ground_truth": ["Discriminant"], "concept_id": 176, "hop_depth": 1}
88
+ {"id": "algebra-1_T2_122", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Ordered Pair?", "ground_truth": ["Coordinate Plane"], "concept_id": 122, "hop_depth": 1}
89
+ {"id": "algebra-1_T2_181", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Exponential Function?", "ground_truth": ["Function", "Exponent"], "concept_id": 181, "hop_depth": 1}
90
+ {"id": "algebra-1_T2_73", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Two-Step Equations?", "ground_truth": ["One-Step Equations"], "concept_id": 73, "hop_depth": 1}
91
+ {"id": "algebra-1_T2_146", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for System of Equations?", "ground_truth": ["Equation"], "concept_id": 146, "hop_depth": 1}
92
+ {"id": "algebra-1_T2_60", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Factoring Difference of Squares?", "ground_truth": ["Factoring", "Difference of Squares"], "concept_id": 60, "hop_depth": 1}
93
+ {"id": "algebra-1_T2_87", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Applications of Linear Equations?", "ground_truth": ["Linear Equation in One Variable"], "concept_id": 87, "hop_depth": 1}
94
+ {"id": "algebra-1_T2_18", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Absolute Value?", "ground_truth": ["Number"], "concept_id": 18, "hop_depth": 1}
95
+ {"id": "algebra-1_T2_186", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Initial Value?", "ground_truth": ["Exponential Function"], "concept_id": 186, "hop_depth": 1}
96
+ {"id": "algebra-1_T2_12", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Distributive Property?", "ground_truth": ["Number", "Term"], "concept_id": 12, "hop_depth": 1}
97
+ {"id": "algebra-1_T2_84", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Contradiction?", "ground_truth": ["Linear Equation in One Variable"], "concept_id": 84, "hop_depth": 1}
98
+ {"id": "algebra-1_T2_106", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Output?", "ground_truth": ["Function"], "concept_id": 106, "hop_depth": 1}
99
+ {"id": "algebra-1_T2_172", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Solving by Square Roots?", "ground_truth": ["Quadratic Equation", "Square Root"], "concept_id": 172, "hop_depth": 1}
100
+ {"id": "algebra-1_T2_20", "domain": "algebra-1", "type": "T2_dependency", "query": "What are the prerequisites for Coordinate System?", "ground_truth": ["Number Line"], "concept_id": 20, "hop_depth": 1}
101
+ {"id": "algebra-1_T3_2_111", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Vertical Line Test?", "ground_truth": ["Vertical Line Test", "Function", "Relation", "Variable"], "concept_id": 111, "hop_depth": 3, "path_ids": [111, 102, 101, 2]}
102
+ {"id": "algebra-1_T3_3_149", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Constant to Inconsistent System?", "ground_truth": ["Inconsistent System", "System of Equations", "Equation", "Expression", "Term", "Constant"], "concept_id": 149, "hop_depth": 5, "path_ids": [149, 146, 7, 6, 5, 3]}
103
+ {"id": "algebra-1_T3_2_149", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Inconsistent System?", "ground_truth": ["Inconsistent System", "System of Equations", "Equation", "Expression", "Term", "Variable"], "concept_id": 149, "hop_depth": 5, "path_ids": [149, 146, 7, 6, 5, 2]}
104
+ {"id": "algebra-1_T3_2_106", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Output?", "ground_truth": ["Output", "Function", "Relation", "Variable"], "concept_id": 106, "hop_depth": 3, "path_ids": [106, 102, 101, 2]}
105
+ {"id": "algebra-1_T3_1_61", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Factoring Perfect Squares?", "ground_truth": ["Factoring Perfect Squares", "Perfect Square Trinomial", "Special Products", "Multiplying Polynomials", "Distributive Property", "Number"], "concept_id": 61, "hop_depth": 5, "path_ids": [61, 55, 53, 51, 12, 1]}
106
+ {"id": "algebra-1_T3_1_189", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Comparing Linear and Exponential?", "ground_truth": ["Comparing Linear and Exponential", "Exponential Function", "Exponent", "Number"], "concept_id": 189, "hop_depth": 3, "path_ids": [189, 181, 21, 1]}
107
+ {"id": "algebra-1_T3_1_198", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Linear Regression?", "ground_truth": ["Linear Regression", "Line of Best Fit", "Scatterplot", "Data Set", "Number"], "concept_id": 198, "hop_depth": 4, "path_ids": [198, 197, 192, 191, 1]}
108
+ {"id": "algebra-1_T3_2_109", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Independent Variable?", "ground_truth": ["Independent Variable", "Variable"], "concept_id": 109, "hop_depth": 1, "path_ids": [109, 2]}
109
+ {"id": "algebra-1_T3_2_135", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Rate of Change?", "ground_truth": ["Rate of Change", "Slope", "Graph of a Line", "Linear Function", "Linear Equation in One Variable", "Variable"], "concept_id": 135, "hop_depth": 5, "path_ids": [135, 132, 129, 128, 81, 2]}
110
+ {"id": "algebra-1_T3_2_160", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Applications of Systems?", "ground_truth": ["Applications of Systems", "Applications of Linear Equations", "Linear Equation in One Variable", "Variable"], "concept_id": 160, "hop_depth": 3, "path_ids": [160, 87, 81, 2]}
111
+ {"id": "algebra-1_T3_3_153", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Constant to Substitution Method?", "ground_truth": ["Substitution Method", "System of Equations", "Equation", "Expression", "Term", "Constant"], "concept_id": 153, "hop_depth": 5, "path_ids": [153, 146, 7, 6, 5, 3]}
112
+ {"id": "algebra-1_T3_1_63", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Prime Factorization?", "ground_truth": ["Prime Factorization", "Number"], "concept_id": 63, "hop_depth": 1, "path_ids": [63, 1]}
113
+ {"id": "algebra-1_T3_2_190", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Graphing Exponentials?", "ground_truth": ["Graphing Exponentials", "Exponential Function", "Function", "Relation", "Variable"], "concept_id": 190, "hop_depth": 4, "path_ids": [190, 181, 102, 101, 2]}
114
+ {"id": "algebra-1_T3_1_142", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Point-Slope Form?", "ground_truth": ["Point-Slope Form", "Ordered Pair", "Coordinate Plane", "Coordinate System", "Number Line", "Number"], "concept_id": 142, "hop_depth": 5, "path_ids": [142, 122, 121, 20, 19, 1]}
115
+ {"id": "algebra-1_T3_2_82", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Solution Set?", "ground_truth": ["Solution Set", "Solving Equations", "Equation", "Expression", "Term", "Variable"], "concept_id": 82, "hop_depth": 5, "path_ids": [82, 71, 7, 6, 5, 2]}
116
+ {"id": "algebra-1_T3_1_186", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Initial Value?", "ground_truth": ["Initial Value", "Exponential Function", "Exponent", "Number"], "concept_id": 186, "hop_depth": 3, "path_ids": [186, 181, 21, 1]}
117
+ {"id": "algebra-1_T3_1_52", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to FOIL Method?", "ground_truth": ["FOIL Method", "Multiplying Polynomials", "Distributive Property", "Number"], "concept_id": 52, "hop_depth": 3, "path_ids": [52, 51, 12, 1]}
118
+ {"id": "algebra-1_T3_3_66", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Constant to Solving by Factoring?", "ground_truth": ["Solving by Factoring", "Equation", "Expression", "Term", "Constant"], "concept_id": 66, "hop_depth": 4, "path_ids": [66, 7, 6, 5, 3]}
119
+ {"id": "algebra-1_T3_2_138", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Negative Slope?", "ground_truth": ["Negative Slope", "Slope", "Graph of a Line", "Linear Function", "Linear Equation in One Variable", "Variable"], "concept_id": 138, "hop_depth": 5, "path_ids": [138, 132, 129, 128, 81, 2]}
120
+ {"id": "algebra-1_T3_1_142", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Point-Slope Form?", "ground_truth": ["Point-Slope Form", "Ordered Pair", "Coordinate Plane", "Coordinate System", "Number Line", "Number"], "concept_id": 142, "hop_depth": 5, "path_ids": [142, 122, 121, 20, 19, 1]}
121
+ {"id": "algebra-1_T3_3_172", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Constant to Solving by Square Roots?", "ground_truth": ["Solving by Square Roots", "Quadratic Equation", "Equation", "Expression", "Term", "Constant"], "concept_id": 172, "hop_depth": 5, "path_ids": [172, 170, 7, 6, 5, 3]}
122
+ {"id": "algebra-1_T3_1_184", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Growth Factor?", "ground_truth": ["Growth Factor", "Exponential Growth", "Exponential Function", "Exponent", "Number"], "concept_id": 184, "hop_depth": 4, "path_ids": [184, 182, 181, 21, 1]}
123
+ {"id": "algebra-1_T3_2_112", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Discrete Function?", "ground_truth": ["Discrete Function", "Function", "Relation", "Variable"], "concept_id": 112, "hop_depth": 3, "path_ids": [112, 102, 101, 2]}
124
+ {"id": "algebra-1_T3_2_120", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Variable to Reflection?", "ground_truth": ["Reflection", "Function Transformation", "Parent Function", "Function", "Relation", "Variable"], "concept_id": 120, "hop_depth": 5, "path_ids": [120, 118, 117, 102, 101, 2]}
125
+ {"id": "algebra-1_T3_1_30", "domain": "algebra-1", "type": "T3_path", "query": "What is the prerequisite chain from Number to Power Rule for Exponents?", "ground_truth": ["Power Rule for Exponents", "Power", "Exponent", "Number"], "concept_id": 30, "hop_depth": 3, "path_ids": [30, 23, 21, 1]}
126
+ {"id": "algebra-1_T4_FOUND", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all FOUND concepts in this knowledge graph", "ground_truth": ["Number", "Variable", "Constant", "Coefficient", "Term", "Expression", "Equation", "Inequality", "Evaluating Expressions", "Substitution"], "taxonomy_id": "FOUND", "hop_depth": 0}
127
+ {"id": "algebra-1_T4_PROP", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all PROP concepts in this knowledge graph", "ground_truth": ["Order of Operations", "Commutative Property", "Associative Property", "Distributive Property", "Identity Property", "Inverse Property"], "taxonomy_id": "PROP", "hop_depth": 0}
128
+ {"id": "algebra-1_T4_NUMS", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all NUMS concepts in this knowledge graph", "ground_truth": ["Integers", "Rational Numbers", "Real Numbers", "Absolute Value", "Number Line", "Coordinate System"], "taxonomy_id": "NUMS", "hop_depth": 0}
129
+ {"id": "algebra-1_T4_EXP", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all EXP concepts in this knowledge graph", "ground_truth": ["Exponent", "Base", "Power", "Integer Exponents", "Rational Exponents", "Negative Exponents", "Zero Exponent", "Product Rule for Exponents", "Quotient Rule for Exponents", "Power Rule for Exponents", "Scientific Notation", "Square Root", "Cube Root", "Radical Expression", "Simplifying Radicals"], "taxonomy_id": "EXP", "hop_depth": 0}
130
+ {"id": "algebra-1_T4_POLY", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all POLY concepts in this knowledge graph", "ground_truth": ["Like Terms", "Combining Like Terms", "Simplifying Expressions", "Expanding Expressions", "Monomial", "Binomial", "Trinomial", "Polynomial", "Degree of Polynomial", "Leading Coefficient", "Standard Form of Polynomial", "Adding Polynomials", "Subtracting Polynomials", "Multiplying Polynomials", "FOIL Method", "Special Products", "Difference of Squares", "Perfect Square Trinomial"], "taxonomy_id": "POLY", "hop_depth": 0}
131
+ {"id": "algebra-1_T4_FACT", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all FACT concepts in this knowledge graph", "ground_truth": ["Factoring", "Greatest Common Factor", "Factoring by GCF", "Factoring Trinomials", "Factoring Difference of Squares", "Factoring Perfect Squares", "Factoring by Grouping", "Prime Factorization", "Prime Polynomial", "Zero Product Property", "Solving by Factoring", "Factoring Completely", "Sum of Cubes", "Difference of Cubes", "Factoring Quadratic Form"], "taxonomy_id": "FACT", "hop_depth": 0}
132
+ {"id": "algebra-1_T4_LIN", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all LIN concepts in this knowledge graph", "ground_truth": ["Solving Equations", "One-Step Equations", "Two-Step Equations", "Multi-Step Equations", "Variables on Both Sides", "Equations with Fractions", "Equations with Decimals", "Literal Equations", "Solving for a Variable", "Formula Manipulation", "Linear Equation in One Variable", "Solution Set", "Identity Equation", "Contradiction", "Conditional Equation", "Checking Solutions", "Inequality", "Linear Inequality", "Inequality Symbols", "Solving Linear Inequalities", "Compound Inequalities", "And Inequalities", "Or Inequalities", "Absolute Value Equations", "Absolute Value Inequalities"], "taxonomy_id": "LIN", "hop_depth": 0}
133
+ {"id": "algebra-1_T4_DATA", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all DATA concepts in this knowledge graph", "ground_truth": ["Applications of Linear Equations", "Consecutive Integers", "Perimeter Problems", "Distance Rate Time Problems", "Applications of Systems", "Applications of Quadratics", "Projectile Motion", "Compound Interest", "Data Set", "Scatterplot", "Correlation", "Positive Correlation", "Negative Correlation", "No Correlation", "Line of Best Fit", "Linear Regression", "Arithmetic Sequence", "Geometric Sequence"], "taxonomy_id": "DATA", "hop_depth": 0}
134
+ {"id": "algebra-1_T4_GRAPH", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all GRAPH concepts in this knowledge graph", "ground_truth": ["Graphing Inequalities", "Coordinate Plane", "Ordered Pair", "X-Coordinate", "Y-Coordinate", "Origin", "Quadrants", "Plotting Points", "Linear Function", "Graph of a Line", "X-Intercept", "Y-Intercept", "Slope", "Rise", "Run", "Rate of Change", "Slope Formula", "Positive Slope", "Negative Slope", "Zero Slope", "Undefined Slope", "Slope-Intercept Form", "Point-Slope Form", "Standard Form", "Horizontal Line", "Vertical Line"], "taxonomy_id": "GRAPH", "hop_depth": 0}
135
+ {"id": "algebra-1_T4_FUNC", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all FUNC concepts in this knowledge graph", "ground_truth": ["Relation", "Function", "Domain", "Range", "Input", "Output", "Function Notation", "Evaluating Functions", "Independent Variable", "Dependent Variable", "Vertical Line Test", "Discrete Function", "Continuous Function", "Piecewise Function", "Step Function", "Absolute Value Function", "Parent Function", "Function Transformation", "Translation", "Reflection"], "taxonomy_id": "FUNC", "hop_depth": 0}
136
+ {"id": "algebra-1_T4_SYS", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all SYS concepts in this knowledge graph", "ground_truth": ["System of Equations", "Solution of a System", "Consistent System", "Inconsistent System", "Independent System", "Dependent System", "Graphing Method", "Substitution Method", "Elimination Method", "Linear Combination", "System of Inequalities", "Graphing Systems", "Solution Region", "Boundary Line"], "taxonomy_id": "SYS", "hop_depth": 0}
137
+ {"id": "algebra-1_T4_QUAD", "domain": "algebra-1", "type": "T4_aggregate", "query": "List all QUAD concepts in this knowledge graph", "ground_truth": ["Quadratic Function", "Parabola", "Vertex", "Axis of Symmetry", "Maximum Value", "Minimum Value", "Standard Form of Quadratic", "Vertex Form", "Graphing Quadratics", "Quadratic Equation", "Solving Quadratics by Graphing", "Solving by Square Roots", "Completing the Square", "Quadratic Formula", "Discriminant", "Nature of Roots", "Complex Numbers", "Imaginary Unit", "Exponential Function", "Exponential Growth", "Exponential Decay", "Growth Factor", "Decay Factor", "Initial Value", "Exponential Models", "Comparing Linear and Exponential", "Graphing Exponentials"], "taxonomy_id": "QUAD", "hop_depth": 0}
138
+ {"id": "algebra-1_T5_128_81", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Linear Function relate to Linear Equation in One Variable?", "ground_truth": ["Linear Function", "Linear Equation in One Variable"], "concept_id_a": 128, "concept_id_b": 81, "hop_depth": 1}
139
+ {"id": "algebra-1_T5_12_1", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Distributive Property relate to Number?", "ground_truth": ["Distributive Property", "Number"], "concept_id_a": 12, "concept_id_b": 1, "hop_depth": 1}
140
+ {"id": "algebra-1_T5_85_81", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Conditional Equation relate to Linear Equation in One Variable?", "ground_truth": ["Conditional Equation", "Linear Equation in One Variable"], "concept_id_a": 85, "concept_id_b": 81, "hop_depth": 1}
141
+ {"id": "algebra-1_T5_81_71", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Linear Equation in One Variable relate to Solving Equations?", "ground_truth": ["Linear Equation in One Variable", "Solving Equations"], "concept_id_a": 81, "concept_id_b": 71, "hop_depth": 1}
142
+ {"id": "algebra-1_T5_5_4", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Term relate to Coefficient?", "ground_truth": ["Term", "Coefficient", "Variable"], "concept_id_a": 5, "concept_id_b": 4, "hop_depth": 1}
143
+ {"id": "algebra-1_T5_32_23", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Square Root relate to Power?", "ground_truth": ["Square Root", "Power"], "concept_id_a": 32, "concept_id_b": 23, "hop_depth": 1}
144
+ {"id": "algebra-1_T5_27_21", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Zero Exponent relate to Exponent?", "ground_truth": ["Zero Exponent", "Exponent"], "concept_id_a": 27, "concept_id_b": 21, "hop_depth": 1}
145
+ {"id": "algebra-1_T5_199_1", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Arithmetic Sequence relate to Number?", "ground_truth": ["Arithmetic Sequence", "Number"], "concept_id_a": 199, "concept_id_b": 1, "hop_depth": 1}
146
+ {"id": "algebra-1_T5_31_24", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Scientific Notation relate to Integer Exponents?", "ground_truth": ["Scientific Notation", "Integer Exponents"], "concept_id_a": 31, "concept_id_b": 24, "hop_depth": 1}
147
+ {"id": "algebra-1_T5_17_16", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Real Numbers relate to Rational Numbers?", "ground_truth": ["Real Numbers", "Rational Numbers"], "concept_id_a": 17, "concept_id_b": 16, "hop_depth": 1}
148
+ {"id": "algebra-1_T5_126_121", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Quadrants relate to Coordinate Plane?", "ground_truth": ["Quadrants", "Coordinate Plane"], "concept_id_a": 126, "concept_id_b": 121, "hop_depth": 1}
149
+ {"id": "algebra-1_T5_197_192", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Line of Best Fit relate to Scatterplot?", "ground_truth": ["Line of Best Fit", "Scatterplot"], "concept_id_a": 197, "concept_id_b": 192, "hop_depth": 1}
150
+ {"id": "algebra-1_T5_190_127", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Graphing Exponentials relate to Plotting Points?", "ground_truth": ["Graphing Exponentials", "Plotting Points"], "concept_id_a": 190, "concept_id_b": 127, "hop_depth": 1}
151
+ {"id": "algebra-1_T5_88_87", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Consecutive Integers relate to Applications of Linear Equations?", "ground_truth": ["Consecutive Integers", "Applications of Linear Equations"], "concept_id_a": 88, "concept_id_b": 87, "hop_depth": 1}
152
+ {"id": "algebra-1_T5_103_102", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Domain relate to Function?", "ground_truth": ["Domain", "Function"], "concept_id_a": 103, "concept_id_b": 102, "hop_depth": 1}
153
+ {"id": "algebra-1_T5_179_170", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Applications of Quadratics relate to Quadratic Equation?", "ground_truth": ["Applications of Quadratics", "Quadratic Equation"], "concept_id_a": 179, "concept_id_b": 170, "hop_depth": 1}
154
+ {"id": "algebra-1_T5_78_2", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Literal Equations relate to Variable?", "ground_truth": ["Literal Equations", "Variable"], "concept_id_a": 78, "concept_id_b": 2, "hop_depth": 1}
155
+ {"id": "algebra-1_T5_51_12", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Multiplying Polynomials relate to Distributive Property?", "ground_truth": ["Multiplying Polynomials", "Distributive Property"], "concept_id_a": 51, "concept_id_b": 12, "hop_depth": 1}
156
+ {"id": "algebra-1_T5_174_170", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Quadratic Formula relate to Quadratic Equation?", "ground_truth": ["Quadratic Formula", "Quadratic Equation"], "concept_id_a": 174, "concept_id_b": 170, "hop_depth": 1}
157
+ {"id": "algebra-1_T5_90_87", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Distance Rate Time Problems relate to Applications of Linear Equations?", "ground_truth": ["Distance Rate Time Problems", "Applications of Linear Equations"], "concept_id_a": 90, "concept_id_b": 87, "hop_depth": 1}
158
+ {"id": "algebra-1_T5_187_182", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Compound Interest relate to Exponential Growth?", "ground_truth": ["Compound Interest", "Exponential Growth"], "concept_id_a": 187, "concept_id_b": 182, "hop_depth": 1}
159
+ {"id": "algebra-1_T5_153_37", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Substitution Method relate to Substitution?", "ground_truth": ["Substitution Method", "Substitution"], "concept_id_a": 153, "concept_id_b": 37, "hop_depth": 1}
160
+ {"id": "algebra-1_T5_40_39", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Simplifying Expressions relate to Combining Like Terms?", "ground_truth": ["Simplifying Expressions", "Combining Like Terms"], "concept_id_a": 40, "concept_id_b": 39, "hop_depth": 1}
161
+ {"id": "algebra-1_T5_23_22", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Power relate to Base?", "ground_truth": ["Power", "Base", "Exponent"], "concept_id_a": 23, "concept_id_b": 22, "hop_depth": 1}
162
+ {"id": "algebra-1_T5_182_181", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Exponential Growth relate to Exponential Function?", "ground_truth": ["Exponential Growth", "Exponential Function"], "concept_id_a": 182, "concept_id_b": 181, "hop_depth": 1}
163
+ {"id": "algebra-1_T5_125_121", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Origin relate to Coordinate Plane?", "ground_truth": ["Origin", "Coordinate Plane"], "concept_id_a": 125, "concept_id_b": 121, "hop_depth": 1}
164
+ {"id": "algebra-1_T5_79_78", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Solving for a Variable relate to Literal Equations?", "ground_truth": ["Solving for a Variable", "Literal Equations"], "concept_id_a": 79, "concept_id_b": 78, "hop_depth": 1}
165
+ {"id": "algebra-1_T5_66_7", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Solving by Factoring relate to Equation?", "ground_truth": ["Solving by Factoring", "Equation"], "concept_id_a": 66, "concept_id_b": 7, "hop_depth": 1}
166
+ {"id": "algebra-1_T5_78_71", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Literal Equations relate to Solving Equations?", "ground_truth": ["Literal Equations", "Solving Equations"], "concept_id_a": 78, "concept_id_b": 71, "hop_depth": 1}
167
+ {"id": "algebra-1_T5_76_16", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Equations with Fractions relate to Rational Numbers?", "ground_truth": ["Equations with Fractions", "Rational Numbers"], "concept_id_a": 76, "concept_id_b": 16, "hop_depth": 1}
168
+ {"id": "algebra-1_T5_86_37", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Checking Solutions relate to Substitution?", "ground_truth": ["Checking Solutions", "Substitution"], "concept_id_a": 86, "concept_id_b": 37, "hop_depth": 1}
169
+ {"id": "algebra-1_T5_161_45", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Quadratic Function relate to Polynomial?", "ground_truth": ["Quadratic Function", "Polynomial"], "concept_id_a": 161, "concept_id_b": 45, "hop_depth": 1}
170
+ {"id": "algebra-1_T5_139_132", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Zero Slope relate to Slope?", "ground_truth": ["Zero Slope", "Slope"], "concept_id_a": 139, "concept_id_b": 132, "hop_depth": 1}
171
+ {"id": "algebra-1_T5_14_1", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Inverse Property relate to Number?", "ground_truth": ["Inverse Property", "Number"], "concept_id_a": 14, "concept_id_b": 1, "hop_depth": 1}
172
+ {"id": "algebra-1_T5_128_102", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Linear Function relate to Function?", "ground_truth": ["Linear Function", "Function"], "concept_id_a": 128, "concept_id_b": 102, "hop_depth": 1}
173
+ {"id": "algebra-1_T5_124_122", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Y-Coordinate relate to Ordered Pair?", "ground_truth": ["Y-Coordinate", "Ordered Pair"], "concept_id_a": 124, "concept_id_b": 122, "hop_depth": 1}
174
+ {"id": "algebra-1_T5_122_121", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Ordered Pair relate to Coordinate Plane?", "ground_truth": ["Ordered Pair", "Coordinate Plane"], "concept_id_a": 122, "concept_id_b": 121, "hop_depth": 1}
175
+ {"id": "algebra-1_T5_24_21", "domain": "algebra-1", "type": "T5_cross_concept", "query": "How does Integer Exponents relate to Exponent?", "ground_truth": ["Integer Exponents", "Exponent"], "concept_id_a": 24, "concept_id_b": 21, "hop_depth": 1}