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Company A made 2.1 million dollars this fiscal year, and on average it's making 0.4 million more dollars every year.

Your company made 1.7 million dollars this fiscal year, and on average it's making 0.62 million more dollars every year.

Your boss asks you to figure out, how many years later, your company will catch up with Company A in sales?

System equation is here to rescue you. Study hard!

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Unit 1 Lesson 1: Review Graphing Lines

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Unit 1 Lesson 2: Solve System Equations by Graphing

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Unit 1 Lesson 3: Solve System Equations by Substitution

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Unit 1 Lesson 4: Solve System Equations by Elimination

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Unit 1 Lesson 5: System Equation Applications

Your company made 1.7 million dollars this fiscal year, and on average it's making 0.62 million more dollars every year.

Your boss asks you to figure out, how many years later, your company will catch up with Company A in sales?

System equation is here to rescue you. Study hard!

- Review Graphing Lines Lecture Notes
- Review Graphing Lines Video Lecture
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- Solve System Equations by Elimination Lecture Notes
- Solve System Equations by Elimination Video Lecture
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- System Equation Applications Lecture Notes
- System Equation Applications Video Lecture
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You might need to go back to MTH60's Unit 3 to review basic exponent rules.

Have you seen these:

The distance between Planet A and Planet B is approximately 2.5*10^23 miles.

Such a cell weighs 2*10^(-12) kilograms.

These numbers are written in scientific notation, which is easier than writing numbers like 250000000000000000000000.

To learn scientific notation, we need to learn how to use negative exponents, which requires a thorough understanding of many exponent rules.####
Unit 2 Lesson 1: Exponent Rules and Negative Exponents

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Unit 2 Lesson 2: Scientific Notation

Have you seen these:

The distance between Planet A and Planet B is approximately 2.5*10^23 miles.

Such a cell weighs 2*10^(-12) kilograms.

These numbers are written in scientific notation, which is easier than writing numbers like 250000000000000000000000.

To learn scientific notation, we need to learn how to use negative exponents, which requires a thorough understanding of many exponent rules.

- Exponent Rules Lecture Notes
- Simplify Exponent Expressions Lecture Notes
- Understanding Negative Exponent Video Lecture
- Exponent Rules Video Lecture 1 (watch till 23:00)
- Exponent Rules Video Lecture 2
- Exponent Rules Video Lecture 3
- Exponent Rules Video Lecture 4
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- Scientific Notation Lecture Notes
- Scientific Notation Video Lecture
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We use polynomials to model many real-life data, such as modeling the distance travelled by a free-falling object.

We will also learn how to factor a polynomial, which is the basis for later math contents.

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Unit 3 Lesson 1: Add and Subtract Polynomials

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Unit 3 Lesson 2: Multiply Polynomials

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Unit 3 Lesson 3: Divide Polynomials

We will also learn how to factor a polynomial, which is the basis for later math contents.

- Add and Subtract Polynomials Lecture Notes
- Add and Subtract Polynomials Video Lecture
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- Multiply Polynomials Lecture Notes
- Multiply Polynomials Video Lecture
- Multiply Polynomials by Area Model Video Lecture
- Special Products of Polynomials Lecture Notes
- Special Products of Polynomials Video Lecture 1
- Special Products of Polynomials Video Lecture 2
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- Divide Polynomials Lecture Notes
- Divide Monomial by Monomial Video Lecture
- Divide Polynomial by Monomial Video Lecture
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What is factoring?

12 = 2*2*3

x^2+7x+12=(x+3)(x+4)

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Unit 4 Lesson 1: Factor out Common Factors

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Unit 4 Lesson 2: Factor by Grouping

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Unit 4 Lesson 3: Factor Trinomials When a=1

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Unit 4 Lesson 4: Factor Trinomials When a≠1

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Unit 4 Lesson 5: Factor Special Polynomials

12 = 2*2*3

x^2+7x+12=(x+3)(x+4)

- Factor out Common Factors Lecture Notes
- Factor out Common Factors Video Lecture 1
- Factor out Common Factors Video Lecture 2
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- Factor by Grouping Lecture Notes
- Factor by Grouping Video Lecture 1
- Factor by Grouping Video Lecture 2
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- Factor x^2+bx+c Lecture Notes
- Factor x^2+bx+c Video Lecture 1
- Factor x^2+bx+c Video Lecture 2
- Factor x^2+bx+c Video Lecture 3
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We use sqrt() to represent the square root symbol.

Since 4^2=16, sqrt(16)=4.

Square and square root are inverse operations, and they cancel out each other:

sqrt(4^2)=4, and (sqrt(4))^2=4.

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Unit 5 Lesson 1: Introduction to Square Root

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Unit 5 Lesson 2: Simplify Square Root

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Unit 5 Lesson 3: Square Root Operations

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Unit 5 Lesson 4: Rationalize Denominator

Since 4^2=16, sqrt(16)=4.

Square and square root are inverse operations, and they cancel out each other:

sqrt(4^2)=4, and (sqrt(4))^2=4.

- Square Root Operations Lecture Notes
- Square Root Operations Video Lecture 1
- Square Root Operations Video Lecture 2
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- Rationalize Denominator Lecture Notes
- Rationalize Denominator Video Lecture
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Earlier we learned how to solve linear equations like 2x-6=0.

In real life, more complicated equations need to be solved. Whenever a free-falling object is being studies, quadratic equations will be involved. In this unit, we will learn how to solve equations involving x^2.

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Unit 6 Lesson 1: Solve Quadratic Equations by Square Root Property

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Unit 6 Lesson 2: Solve Quadratic Equations by Factoring

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Unit 6 Lesson 3: Solve Quadratic Equations by Quadratic Formula

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Unit 6 Lesson 4: Quadratic Equation Applications

In real life, more complicated equations need to be solved. Whenever a free-falling object is being studies, quadratic equations will be involved. In this unit, we will learn how to solve equations involving x^2.

- Solve Quadratic Equations by Square Root Property Lecture Notes
- Solve Quadratic Equations by Square Root Property Video Lecture 1
- Solve Quadratic Equations by Square Root Property Video Lecture 2 (start from 3:37)
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- Solve Quadratic Equations by Factoring Lecture Notes
- Solve Quadratic Equations by Factoring Video Lecture 1
- Solve Quadratic Equations by Factoring Video Lecture 2
- Solve Quadratic Equations by Factoring Video Lecture 3
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- Solve Quadratic Equations by Quadratic Formula Lecture Notes
- Solve Quadratic Equations by Quadratic Formula Video Lecture 1
- Solve Quadratic Equations by Quadratic Formula Video Lecture 2
- Solve Quadratic Equations by Quadratic Formula Video Lecture 3
- Number of Solutions Lecture Notes
- Number of Solutions Video Lecture
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A quadratic function looks like f(x)=2x^2+3x+4. It's graph is called a parabola. Tons of real-life applications are based on quadratic functions: the arc of bridges, the shape of headlight interior, a free falling object, etc.

If you forgot about function notation, please go to MTH60 content and review Introduction to Functions unit, and then come back to this unit. Basically, instead of using "y", we will use f(x) or h(t).####
Unit 7 Lesson 1: Parabola Shifting Up/Down

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Unit 7 Lesson 2: Parabola Becoming Thinner/Wider

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Unit 7 Lesson 3: Parabola Shifting Left/Right

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Unit 7 Lesson 4: Parabola Movement Summary

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Unit 7 Lesson 5: Parabola Axis and Vertex

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Unit 7 Lesson 6: Parabola Intercepts

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Unit 7 Lesson 7: Sketching Parabolas

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Unit 7 Lesson 8: Maximum and Minimum Value Applications

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Unit 7 Lesson 9: Falling Objects

If you forgot about function notation, please go to MTH60 content and review Introduction to Functions unit, and then come back to this unit. Basically, instead of using "y", we will use f(x) or h(t).

- Parabola Shifting Left/Right Lecture Notes
- Parabola Shifting Left/Right Video Lecture
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- Parabola Movement Lecture Notes
- Parabola Movement Video Lecture 1
- Parabola Movement Video Lecture 2
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- Parabola Axis and Vertex Lecture Notes
- Parabola Axis and Vertex Video Lecture
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- Parabola's Y-Intercept and X-Intercepts Lecture Notes
- Parabola's Y-Intercept and X-Intercepts Video Lecture
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- Sketching Parabolas Lecture Notes
- Sketching Parabolas Video Lecture 1
- Sketching Parabolas Video Lecture 2
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- Quadratic Function Falling Object Application Lecture Notes
- Quadratic Function Falling Object Application Video Lecture 1
- Quadratic Function Falling Object Application Video Lecture 2
- Quadratic Function Falling Object Application Video Lecture 3
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