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Algebraic Solutions Review Guide

Prepare for tomorrow's test by reviewing algebraic problem-solving techniques, including sign patterns, profit equations, and deriving the quadratic formula. Learn to solve for x algebraically and practice word problems. Master key concepts to ace your exam!

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Algebraic Solutions Review Guide

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  1. Chapter 2 Review • Study for tomorrow’s test tonight!! • #64 $15.00 #9 (x + 3), (x – 2), (x + 5) • #65 440 units #11 (x – 4), (x – 2) • #66 x2 = 1800, p = $23.00 #13 (x – 1), (x + 1), (x – 2), (x + 2) • #48 (0, 2)U(2, ∞) #15 (x – 3), (x – ( )) • #49 (-∞, -2)U(-2, 3) #17 y = 7x3 – 2x2 – 5x + 3 • #50 (-∞, -⅓)U(⅓, ∞) #19 y = x5 – 6x2 – x – 3 #21 [0, 3] • #7 (x + 5), (x + 6)

  2. Chapter 2 Review Solve Solving for x Algebraically If you are told to solve algebraically without a specific method, use the one that is easiest for you! Solve for x algebraically: • Remember: • When you see “Solve” and there are two variables, you graph! • When there is one variable with no instructions, go by the easiest means possible!! • Solve:

  3. Chapter 2 Review Sign Patterns Profit/Revenue/Cost John sells widgets at $5 each, but it costs him $1.50 to make each widget. He has fixed costs of $200. Write the total cost equation Graph it and give the D and R Write the total revenue equation When will John break even? What does (16.5, -142.25) mean in the total profit equation? • Make a sign pattern for thefollowing functions:

  4. Chapter 2 Review Word Problems Deriving the Quadratic Formula You derive the quadratic formula by completing the square from ax2 + bx + c = 0! Use as many or as little steps as you need to portray that you know what you are doing and that I can follow your work! • Know: • Rectangle problems • Area/perimeter of a rectangle • Area/circumference of a circle • Volume/surface area of a box • Be able to mix and mingle these functions together based upon given information!

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