Linear Equations and Tables of Values (B) WORKSHEET

Suitable for Grades: 8th Grade, Algebra I
CCSS: 8.F.B.4, HSF.LE.A.2
CCSS Description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input‑output pairs (include reading these from a table).

Linear Equations and Tables of Values (B) WORKSHEET DESCRIPTION

This worksheet follows on from Linear Equations and Tables of Values (A) by using the tables of values to help derive the equations of straight line graphs. Section A provides some plotted graphs and asks learners to fill in the tables of values and then find the equation using the scaffolding provided. Section B then gives some incomplete xy-tables for learners the find the sequence, complete the table, and hence, find the equation. Section C then gives two coordinates and blank xy-tables for learners to fill in the given points, find the common difference for the sequence of y-values, and then state the equation.