# CK-12 Algebra I Concepts

**At Grade**Created by: CK-12

- 1.
## Equations and Functions

Evaluate algebraic expressions, write equations and inequalities, check solutions of equations and inequalities, and write and graph functions.

- 2.
## Real Numbers

Compare and graph integers, find absolute values, order and perform basic operations with rational numbers, and apply the commutative, associative, and distributive properties.

- 3.
## Equations of Lines

Solve one-step, two-step, and multi-step equations, use ratios and proportions, solve problems using scale drawings, use similar figures to measure, and find the percent of a number.

- 4.
## Graphs of Equations and Functions

Plot points in a coordinate plane, graph functions given a table or rule, graph linear equations, graph using intercepts and slope-intercept form, and solve real-world problems using direct variation.

- 5.
## Writing Linear Equations

Write and solve linear equations, fit a line to data, and make predictions with linear models.

- 6.
## Linear Inequalities

Solve and graph linear inequalities, identify the number of solutions to an inequality, and solve compound inequalities, value equations, and inequalities.

- 7.
## Solving Systems of Equations and Inequalities

Solve linear systems and mixture problems by various methods.

- 8.
## Exponential Functions

Apply exponent properties involving products and quotients, manipulate expressions with zero, negative, and fractional exponents, and work with scientific notation and geometric sequences.

- 9.
## Polynomials

Add, subtract, and multiply polynomials, learn special products of polynomials, solve simple polynomial equations by factoring, and factor quadratic expressions.

- 10.
## Quadratic Equations and Quadratic Functions

Graph quadratic functions, indentify the number of solutions to quadratic equations, solve quadratic equations using the quadratic formula and completing the square, and find the discriminant of a quadratic equation.

- 11.
## Algebra and Geometry Connections

Graph and compare square root functions, solve radical equations, use the Pythagorean theorem and its converse, and apply the distance formula and the midpoint formula.

- 12.
## Rational Equations and Functions

Use inverse variation models, graph and solve rational functions, rewrite rational functions using division, multiply, divide, add, and subtract rational expressions, and solve rational equations.

- 13.
## Probability and Statistics

Differentiate between theoretical and experimental probability, solve permutation and combination problems, work with mutually exclusive and independent events, find the measures of central tendency and dispersion, make stem-and-leaf plots, histograms, and box-and-whisker plots, and conduct surveys and apply sampling methods.