Find the Break-Even Point

---- • ----- 1.1 Linear Equations ---- • -----

❤️ Ex1: Solve 3(2𝑥 − 4) = 7 − (𝑥 ＋ 5)
🔗    • Solving a Linear Equation: 3(2𝑥 − 4) = 7 −...  

🧡 Ex2: Solve (2𝑥 ＋ 4)/₃ ＋ (½)𝑥 = (¹/₄)𝑥 − (⁷/₃)
🔗    • Solving a Linear Equation: Solve (2𝑥 ＋ 4)/...  

💛 Ex3: Types of Equations: Identity, Conditional, Contradiction
🔗    • Identifying Types of Equations: Identity, ...  

💚 Ex4: Solving for a Specified Variable (Literal Equations)
🔗    • Solving for a Specified Variable (Literal ...  

💙 Ex5: Applying the Simple Interest Formula
🔗    • Applying the Simple Interest Formula  

• ---- 1.2 Applications & Modeling w/Linear Equations ---- •

💜 Ex1: Geometry Problems: Finding the Dimensions of a Square
🔗    • Finding the Dimensions of a Square  

❤️ Ex2: Solving a Motion Problem
🔗    • Solving a Motion Problem  

🧡 Ex3: Solving a Mixture Problem (% solution)
🔗    • Solving a Mixture Problem (% solution)  

💛 Ex4: Solving an Investment Problem
🔗    • Solving an Investment Problem  

💚 Ex5: Modeling Prevention of Indoor Pollutants
🔗    • Modeling Prevention of Indoor Pollutants  

💙 Ex6: Modeling Health Care Costs
🔗    • Modeling Health Care Costs  

---- • ----- 1.3 Complex Numbers ---- • -----

💜 Ex1: Writing √(−𝑎) as 𝑖√𝑎
🔗    • Complex Numbers: Writing √(−𝑎) as 𝑖√𝑎  

❤️ Ex2: Simplifying a Quotient Involving √(−𝑎)
🔗    • Simplifying a Quotient Involving √(−𝑎)  

🧡 Ex3: Add & Subtract Complex Numbers
🔗    • Adding & Subtracting Complex Numbers  

💛 Ex4: Multiply Complex Numbers
🔗    • Multiplying Complex Numbers  

💚 Ex5: Divide Complex Numbers
🔗    • Dividing Complex Numbers  

💙 Ex6: Simplify Powers of 𝑖
🔗    • Simplifying Powers of 𝑖  

---- • ----- 1.4: Quadratic Equations ---- • -----

💜 Ex1: Using the Zero-(Factor)Product Property
🔗    • Using the Zero-(Factor)Product Property  

❤️ Ex2: Using the Square Root Property
🔗    • Using the Square Root Property  

🧡 Ex3: Using Completing the Square 𝑎＝𝟷
🔗    • Using Completing the Square 𝑎＝𝟷  

💛 Ex4: Using Completing the Square 𝑎≠𝟷
🔗    • Using Completing the Square 𝑎≠𝟷  

🦊 BONUS VIDEO: Completing the Square on 𝑎𝑥²＋𝑏𝑥＋𝑐＝0 🦊
🔗    • Completing the Square on 𝑎𝑥²＋𝑏𝑥＋𝑐＝0 🦊  

💚 Ex5: Using the Quadratic Formula (Real Solutions)
🔗    • Using the Quadratic Formula (Real Solutions)  

💙 Ex6: Using the Quadratic Formula (imaginary solutions)
🔗    • Using the Quadratic Formula (Non-real Comp...  

💜 Ex7: Solving a Cubic Equation
🔗    • Solving a Cubic Equation & SECRET SHORTCUT  

❤️ Ex8: Solving for a Quadratic Variable in a Formula
🔗    • Solving for a Quadratic Variable in a Formula  

🦊 BONUS VID: What does The Discriminant tell us? 🦊
🔗    • The Discriminant — What does it tell us?  

🧡 Ex9: Using the Discriminant
🔗    • The Discriminant — What does it tell us?  

---- • ----- MID CHAPTER QUIZ PRACTICE PROBS ---- • -----

1️⃣ Solve (linear equation).
🔗    • Quiz Practice: Solve the linear equation.  

2️⃣ Is this an identity, conditional, or contradiction?
🔗    • Quiz Practice: Solve the equation.  

3️⃣ Solve the equation.
🔗  

4️⃣ Word Prob: ..you deposit $ at 𝑝% annual interest..
🔗  

5️⃣ Hourly minimum wage for the USA.
🔗  

6️⃣ Write in standard form  𝑎＋𝑏𝑖.
🔗  

7️⃣ Write in standard form  𝑎＋𝑏𝑖.
🔗 

8️⃣ Solve.
🔗  

9️⃣ Solve.
🔗  

🔟 Solve.
🔗  

• ---- 1.5 Applications & Modeling w/Quadratic Equations ---- •

💛 Ex1: Solving a Problem Involving Volume
🔗    • Solving a Problem Involving Volume  

💚 Ex2: Applying the Pythagorean Theorem
🔗    • Applying the Pythagorean Theorem  

💙 Ex3: Solving a Problem Involving Projectile Motion
🔗    • Solving a Problem Involving Projectile Hei...  

💜 Ex4: Analyzing Trolley Ridership
🔗    • Analyzing Trolley Ridership  

---- • ----- 1.6 Other Types of Equations & Applications - --- • -----

❤️ Ex1a: Solving Rational Equations
A 🔗    • Solving Rational Equations - Part A  
B 🔗    • Solving Rational Equations - Part B  

🧡 Ex2: Solving Rational Equations (Quadratic)
A 🔗    • Solving Rational Equations that become Qua...  
B 🔗    • Solving Rational Equations (Quadratic) - P...  

💛 Ex3: Work Rate Problem
🔗    • Solving Rational Equations (Quadratic) - P...  

💚 Ex4: Solve a Radical Equation
🔗    • Solving Radical Equations  

💙 Ex5: Solve a Radical Equation
🔗    • Solving Radical Equations  

💜 Ex6: Solve a Radical Equation (Cube Roots)
🔗    • Solving Radical Equations (Cube Roots)  

❤️ Ex7: Equations w/Rational Exponents
A 🔗    • Equations w/Rational Exponents  
B 🔗    • Equations w/Rational Exponents  

🧡 Ex8: Solve Equations in Quadratic Form (w/Rational Exponents)
A 🔗    • Solve Equations in Quadratic Form (w/Ratio...  
B 🔗    • Solve Equations in Quadratic Form (w/Ratio...  

💛 Ex9: Solve Equations in Quadratic Form
🔗    • Solve Equations in Quadratic Form  

---- • ----- 1.7 Inequalities ---- • -----

💚 Ex1: Linear Inequality 01
🔗    • Solve a Linear Inequality  

💙 Ex2: Linear Inequality 02
🔗    • Solve Another Linear Inequality  

💜 Ex3: Find the Break-Even Point
🔗    • Find the Break-Even Point  

❤️ Ex4:
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🧡 Ex5:
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💛 Ex6:
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💚 Ex7:
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💙 Ex8:
🔗 -

💜 Ex9:
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