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Linear Functions

Linear Equations and Tables of Values (A) 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 (A) WORKSHEET DESCRIPTION

This worksheet gives a alternative view of straight line graphs equations in the form y=mx+b and their corresponding tables of values. Section A asks learners to complete xy-tables for given straight line equations but highlights the fact that the intercept, b, will be below x=0, and the slope, m, will be the common difference of the y-values generated. Section B then asks learners to work backwards and use the facts from section A to write the equations of the lines from their xy-tables.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Linear Equations and Tables of Values Worksheet suitable for students in 8th Grade

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Frequently Asked Questions

Instead of focusing on plotting points and drawing lines, this worksheet emphasizes the connection between the algebraic form y=mx+b and numerical patterns in tables. Students discover that the slope m appears as the consistent difference between consecutive y-values, while the y-intercept b shows up when extending the pattern to x=0, helping them see these concepts numerically rather than just visually.