Linear Functions and Evaluations

Megan·

Algebra

Preview

At a Glance

Grade Level8th Grade

SubjectAlgebra

Original Prompt

solving linear functions in function notation with f(x); just give equations and have students solve the function, no multiple choice or fill in the blank

This resource focuses on solving linear functions using function notation. It introduces the concept of input and output in functions, represented by f(x). Two examples are provided: the first shows how to evaluate f(4) for f(x) = 2x + 3, arriving at the output of 11. The second example illustrates evaluating f(-2) for f(x) = -3x + 5, also resulting in 11, while highlighting careful handling of negative signs. Additional practice problems encourage learners to substitute various x values into given functions to find outputs. Advanced challenges include evaluating functions at expressions and investigating common errors to watch for, particularly with fractions and distribution. A reflective section prompts learners to identify patterns in their function-solving approaches and consider past mistakes.