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Insights Into Algebra 1 - Teaching For Learning
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Topic Overview Lesson Plans Student Work Teaching Strategies Resources
Workshop 2 Linear Functions and Inequalities Lesson Plans
Lesson Plans:

Introduction

Lesson Plan 1: The Phone Bill Problem - Linear Functions

Lesson Plan 2: Hot Dog Sales - Solving Linear Equations and Inequalities
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NCTM Standards


Lesson Plan 2: Hot Dog Sales - Solving Linear Equations and Inequalities

Overview Procedures For Teachers Related Standardized Test Questions Materials

The questions below dealing with linear equations and inequalities have been selected from various state and national assessments. Although the lesson above may not fully equip students to answer all such test questions successfully, students who participate in active lessons like this one will eventually develop the conceptual understanding needed to succeed on these and other state assessment questions.

  • Taken from the California High School Exit Examination (Spring 2002):

    In the inequality 2x + $10,000 $70,000, x represents the salary of an employee in a school district. Which phrase most accurately describes the employee's salary?

    A. At least $30,000 (correct answer)
    B. At most $30,000
    C. Less than $30,000
    D. More than $30,000
  • Taken from the Virginia Standards of Learning (2002):

    What is the solution of 2x + 3 x - 5?

    A. x -8/3
    B. x -8 (correct answer)
    C. x -2/3
    D. x -2
  • Taken from the North Carolina End-of-Course Test, Algebra 1 (October 2003):

    The drama club is selling tickets to a play for $10 each. The cost to rent the theater and costumes is $500. In addition, the printers are charging $1 per ticket to print the tickets. How many tickets must the drama club sell to make a profit?

    A. 54
    B. 55
    C. 56 (correct answer)
    D. 57
  • Taken from the Virginia Standards of Learning (2002):

    Which is a zero of the function f(x) = 3x - 21?

    A. -21
    B. -7
    C. 0
    D. 7 (correct answer)
  • Taken from the Virginia Standards of Learning (2002):

    What is the solution to 
     ?
    A. d = -243
    B. d = -45 (correct answer)
    C. d = -3
    D. d = -5/9
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