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Linear Functions (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 Functions (A) WORKSHEET DESCRIPTION

This worksheet will review lines parallel to the x and y axis, as well as introduce straight lines in the form y = mx + b.

Section A kicks off with eight equations of lines in the form x = a and y = b, which students will plot on the same set of axes before considering the intersections of pairs of these lines.

In section B, students will plot five functions on their own coordinate grids. The functions are y = x, y = 2x, y = x - 3, y = x + 4 and y = 2x + 1.

A table of values is included in each case and students will plot the lines for positive and negative values of x. We encourage students to write their values for x and y as coordinate pairs before plotting them.

Ensure students are equipped with a pencil and ruler before they start drawing their straight lines.

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