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Álgebra 1 · Lecciones de Conceptos

Domina Álgebra 1 desde los fundamentos

Ecuaciones lineales, desigualdades, funciones, cuadráticas y polinomios. Cubre TEKS §111.39.

1

Linear Equations: The Five-Step Method That Solves Every “Find x”

Every solve-for-x problem on the Algebra 1 CBE comes down to the same five moves — distribute, combine, isolate, divide, check. Master the order and you'll handle one-step through both-sides equations on autopilot.

8 min TEKS 2A,5A,5B 30
2

Linear Inequalities: Solving, Graphing, and the One Sign-Flip Rule

Inequalities solve like equations — except for one twist. Multiply or divide by a negative and the inequality sign flips. Master that single rule and you'll solve every CBE inequality on autopilot.

8 min TEKS 5B,2A,3D 28
3

Slope & Linear Graphs: Rise Over Run, Three Equation Forms

Slope is rate of change — and rate of change is the entire point of Algebra 1. Master the slope formula, the three line equations (slope-intercept, point-slope, standard), and when to use each.

9 min TEKS 2A,2B,2C,3A,3B,3C 26
4

Systems of Equations: Three Methods, One Intersection Point

A system of equations asks where two lines cross. Three ways to find that point — graphing, substitution, elimination — and how to recognize when there are zero, one, or infinite solutions.

9 min TEKS 5C,3F,3G 32
5

Functions & Notation: f(x), Domain, Range, and the Vertical Line Test

A function is a rule that takes one input and gives one output. Master f(x) notation, domain/range, and the vertical line test — the foundation for every equation and graph in Algebra 1.

8 min TEKS 2A,12A,12B 32
6

Polynomials & Factoring: FOIL, GCF, and the Three Patterns

Multiply binomials with FOIL, then run the process backward to factor. Three patterns cover most CBE factoring questions: GCF, trinomial (x² + bx + c), and difference of squares.

9 min TEKS 10A,10B,10D,10E,10F 30
7

Quadratic Functions: Parabolas, Vertex Form, and the Quadratic Formula

Every quadratic graphs as a parabola. Master vertex form to read the vertex on sight, and the quadratic formula to find the roots when factoring fails.

10 min TEKS 6A,6B,6C,7A,7B,7C,8A 24
8

Exponential Functions: Growth, Decay, and the Doubling Rule

When the rate of change is proportional to the amount, you have exponential. Master the y = a · b^x form, half-life, compound interest, and the visual difference between linear and exponential.

9 min TEKS 9A,9B,9C,9D,9E 21
9

Arithmetic & Geometric Sequences: Find the nth Term

Arithmetic sequences add the same number each step (linear pattern). Geometric sequences multiply by the same number each step (exponential pattern). Two formulas, one strategy: identify, then plug in.

7 min TEKS 12C,12D 23
10

Statistics & Data Analysis: Mean, Median, Mode, and the Correlation Coefficient

Mean, median, and mode summarize a data set in one number — but they tell different stories. Plus correlation vs causation, and how to read a correlation coefficient.

8 min TEKS 4A,4B,4C 27