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Math

Indiana Math

Grade 8: Algebra and Functions

8.AF.1

Fully covered
Solve linear equations and inequalities with rational number coefficients fluently, including those whose solutions require expanding expressions using the distributive property and collecting like terms. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. (E)

8.AF.2

Fully covered
Generate linear equations in one variable with one solution, infinitely many solutions, or no solutions. Justify the classification given.

8.AF.3

Fully covered
Understand that a function assigns to each x-value (independent variable) exactly one y-value (dependent variable), and that the graph of a function is the set of ordered pairs (x,y).

8.AF.4

Fully covered
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. (E)

8.AF.5

Fully covered
Interpret the equation y = mx + b as defining a linear function whose graph is a straight line; give examples of functions that are not linear. Describe similarities and differences between linear and nonlinear functions from tables, graphs, verbal descriptions, and equations.

8.AF.6

Partially covered
Construct a function to model a linear relationship between two quantities given a verbal description, table of values, or graph. Within the context of a problem, describe the meaning of m (rate of change) and b (y-intercept) in y = mx + b. (E)

8.AF.7

Fully covered
Compare properties of two linear functions given in different forms, such as a table of values, equation, verbal description, and graph (e.g., compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed).

8.AF.8

Fully covered
Approximate the solution of a system of equations by graphing and interpreting the reasonableness of the approximation. (E)