Section 1.10: Chapter Assessment

This assessment covers all of Chapter 1: Foundations of Algebra. Answer each question carefully and show your work when appropriate.

Part A: Multiple Choice

  1. Simplify: \( 4x + 3x - 5 \)
    1. \( 7x + 5 \)
    2. \( 7x - 5 \)
    3. \( 12x - 5 \)
    4. \( 7x \)
  2. Which of the following is not a function?
    1. \( y = 2x + 1 \)
    2. \( y = x^2 \)
    3. A circle with equation \( x^2 + y^2 = 9 \)
    4. \( y = -3x + 4 \)

Part B: Short Answer

  1. Evaluate \( 2x^2 - 5x + 1 \) when \( x = 3 \).
  2. Solve for \( x \): \( 7x - 4 = 24 \).
  3. Graph the inequality \( y \leq 2x + 1 \). (Sketch the solution region.)

Part C: Word Problems

  1. The sum of three consecutive integers is 72. Find the integers.
  2. The length of a rectangle is twice its width. If the perimeter is 36 units, find the dimensions.
  3. A phone plan charges a base fee of $20 plus $0.05 per text message. Write a function rule for the cost \( C \) in terms of number of texts \( t \). Find the cost for 200 texts.
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