---
type: CKG Bundle
title: Algebra 1
tags: [STEM & Engineering]
timestamp: 2026-06-18T00:00:00Z
ckg:
  id: algebra-1
  nodes: 200
  license: CC BY 4.0
  source: Graphify.md ckg-mcp
---

# Algebra 1 — Compressed Knowledge Graph

```csv
1,Number,,FOUND
2,Variable,,FOUND
3,Constant,,FOUND
4,Coefficient,2,FOUND
5,Term,2|3|4,FOUND
6,Expression,5,FOUND
7,Equation,6,FOUND
8,Inequality,6,FOUND
9,Order of Operations,1,PROP
10,Commutative Property,1,PROP
11,Associative Property,1,PROP
12,Distributive Property,1|5,PROP
13,Identity Property,1,PROP
14,Inverse Property,1,PROP
15,Integers,1,NUMS
16,Rational Numbers,15,NUMS
17,Real Numbers,16,NUMS
18,Absolute Value,1,NUMS
19,Number Line,1|15,NUMS
20,Coordinate System,19,NUMS
21,Exponent,1,EXP
22,Base,21,EXP
23,Power,21|22,EXP
24,Integer Exponents,21|15,EXP
25,Rational Exponents,24|16,EXP
26,Negative Exponents,24,EXP
27,Zero Exponent,21,EXP
28,Product Rule for Exponents,23,EXP
29,Quotient Rule for Exponents,23,EXP
30,Power Rule for Exponents,23,EXP
31,Scientific Notation,24|28,EXP
32,Square Root,23,EXP
33,Cube Root,23,EXP
34,Radical Expression,32|33,EXP
35,Simplifying Radicals,34,EXP
36,Evaluating Expressions,6|9,FOUND
37,Substitution,2|36,FOUND
38,Like Terms,5,POLY
39,Combining Like Terms,38,POLY
40,Simplifying Expressions,36|39,POLY
41,Expanding Expressions,12|6,POLY
42,Monomial,5|21,POLY
43,Binomial,42,POLY
44,Trinomial,43,POLY
45,Polynomial,44,POLY
46,Degree of Polynomial,45|21,POLY
47,Leading Coefficient,45|4,POLY
48,Standard Form of Polynomial,45|46,POLY
49,Adding Polynomials,45|39,POLY
50,Subtracting Polynomials,45|39,POLY
51,Multiplying Polynomials,45|12,POLY
52,FOIL Method,43|51,POLY
53,Special Products,51,POLY
54,Difference of Squares,53,POLY
55,Perfect Square Trinomial,53,POLY
56,Factoring,45,FACT
57,Greatest Common Factor,45,FACT
58,Factoring by GCF,56|57,FACT
59,Factoring Trinomials,56|44,FACT
60,Factoring Difference of Squares,56|54,FACT
61,Factoring Perfect Squares,56|55,FACT
62,Factoring by Grouping,56|45,FACT
63,Prime Factorization,1,FACT
64,Prime Polynomial,56,FACT
65,Zero Product Property,56|7,FACT
66,Solving by Factoring,65|7,FACT
67,Factoring Completely,58|59|60,FACT
68,Sum of Cubes,56,FACT
69,Difference of Cubes,56,FACT
70,Factoring Quadratic Form,59,FACT
71,Solving Equations,7,LIN
72,One-Step Equations,71|14,LIN
73,Two-Step Equations,72,LIN
74,Multi-Step Equations,73|12,LIN
75,Variables on Both Sides,74,LIN
76,Equations with Fractions,74|16,LIN
77,Equations with Decimals,74|16,LIN
78,Literal Equations,71|2,LIN
79,Solving for a Variable,78,LIN
80,Formula Manipulation,79,LIN
81,Linear Equation in One Variable,71|2,LIN
82,Solution Set,71,LIN
83,Identity Equation,81,LIN
84,Contradiction,81,LIN
85,Conditional Equation,81,LIN
86,Checking Solutions,71|37,LIN
87,Applications of Linear Equations,81,DATA
88,Consecutive Integers,87|15,DATA
89,Perimeter Problems,87,DATA
90,Distance Rate Time Problems,87,DATA
91,Inequality,8,LIN
92,Linear Inequality,91|81,LIN
93,Inequality Symbols,91,LIN
94,Graphing Inequalities,92|19,GRAPH
95,Solving Linear Inequalities,92|71,LIN
96,Compound Inequalities,95,LIN
97,And Inequalities,96,LIN
98,Or Inequalities,96,LIN
99,Absolute Value Equations,71|18,LIN
100,Absolute Value Inequalities,99|91,LIN
101,Relation,2,FUNC
102,Function,101,FUNC
103,Domain,102,FUNC
104,Range,102,FUNC
105,Input,102,FUNC
106,Output,102,FUNC
107,Function Notation,102,FUNC
108,Evaluating Functions,107|36,FUNC
109,Independent Variable,102|2,FUNC
110,Dependent Variable,102|2,FUNC
111,Vertical Line Test,102,FUNC
112,Discrete Function,102,FUNC
113,Continuous Function,102,FUNC
114,Piecewise Function,102,FUNC
115,Step Function,114,FUNC
116,Absolute Value Function,102|18,FUNC
117,Parent Function,102,FUNC
118,Function Transformation,117,FUNC
119,Translation,118,FUNC
120,Reflection,118,FUNC
121,Coordinate Plane,20,GRAPH
122,Ordered Pair,121,GRAPH
123,X-Coordinate,122,GRAPH
124,Y-Coordinate,122,GRAPH
125,Origin,121,GRAPH
126,Quadrants,121,GRAPH
127,Plotting Points,122|121,GRAPH
128,Linear Function,102|81,GRAPH
129,Graph of a Line,128|127,GRAPH
130,X-Intercept,129,GRAPH
131,Y-Intercept,129,GRAPH
132,Slope,129,GRAPH
133,Rise,132,GRAPH
134,Run,132,GRAPH
135,Rate of Change,132,GRAPH
136,Slope Formula,132|122,GRAPH
137,Positive Slope,132,GRAPH
138,Negative Slope,132,GRAPH
139,Zero Slope,132,GRAPH
140,Undefined Slope,132,GRAPH
141,Slope-Intercept Form,128|132|131,GRAPH
142,Point-Slope Form,128|132|122,GRAPH
143,Standard Form,128,GRAPH
144,Horizontal Line,129|139,GRAPH
145,Vertical Line,129|140,GRAPH
146,System of Equations,7,SYS
147,Solution of a System,146,SYS
148,Consistent System,146,SYS
149,Inconsistent System,146,SYS
150,Independent System,148,SYS
151,Dependent System,148,SYS
152,Graphing Method,146|129,SYS
153,Substitution Method,146|37,SYS
154,Elimination Method,146|39,SYS
155,Linear Combination,154,SYS
156,System of Inequalities,146|91,SYS
157,Graphing Systems,156|152,SYS
158,Solution Region,157,SYS
159,Boundary Line,157,SYS
160,Applications of Systems,146|87,DATA
161,Quadratic Function,102|45,QUAD
162,Parabola,161|129,QUAD
163,Vertex,162,QUAD
164,Axis of Symmetry,162,QUAD
165,Maximum Value,163,QUAD
166,Minimum Value,163,QUAD
167,Standard Form of Quadratic,161|48,QUAD
168,Vertex Form,161|163,QUAD
169,Graphing Quadratics,162|127,QUAD
170,Quadratic Equation,7|45,QUAD
171,Solving Quadratics by Graphing,170|169,QUAD
172,Solving by Square Roots,170|32,QUAD
173,Completing the Square,170|55,QUAD
174,Quadratic Formula,170|173,QUAD
175,Discriminant,174,QUAD
176,Nature of Roots,175,QUAD
177,Complex Numbers,176,QUAD
178,Imaginary Unit,177,QUAD
179,Applications of Quadratics,170|87,DATA
180,Projectile Motion,179,DATA
181,Exponential Function,102|21,QUAD
182,Exponential Growth,181,QUAD
183,Exponential Decay,181,QUAD
184,Growth Factor,182,QUAD
185,Decay Factor,183,QUAD
186,Initial Value,181,QUAD
187,Compound Interest,182,DATA
188,Exponential Models,181,QUAD
189,Comparing Linear and Exponential,128|181,QUAD
190,Graphing Exponentials,181|127,QUAD
191,Data Set,1,DATA
192,Scatterplot,121|191,DATA
193,Correlation,192,DATA
194,Positive Correlation,193,DATA
195,Negative Correlation,193,DATA
196,No Correlation,193,DATA
197,Line of Best Fit,192|129,DATA
198,Linear Regression,197,DATA
199,Arithmetic Sequence,1,DATA
200,Geometric Sequence,199|21,DATA
```