# Chapter 0 The Preliminaries Section 1 Exponents, Roots & Scientific Notation - PowerPoint PPT Presentation

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Thomson Brooks/Cole Turning Point Questions for Holtfrerich/Haughn’s College Algebra, 1 st edition Please note that all questions marked with an asterisk (*) are the self-quizzing questions interspersed throughout the text.

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Chapter 0 The Preliminaries Section 1 Exponents, Roots & Scientific Notation

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Thomson Brooks/Cole Turning Point Questions for Holtfrerich/Haughn’s College Algebra, 1st editionPlease note that all questions marked with an asterisk (*) are the self-quizzing questions interspersed throughout the text.

Chapter 0The Preliminaries Section 1 Exponents, Roots & Scientific Notation

### Simplify the expression {image} . Write without negative exponents.

{image}

{image}

{image}

{image}

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Simplify the expression {image} .

• {image}

• {image}

• {image}

• {image}

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Multiply and simplify the result: {image}

• {image}

• {image}

• {image}

• {image}

What do we call expressions that, when multiplied together, create the difference of two squares?

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• Square roots

• Perfect squares

• Conjugate pairs

• Square pairs

Chapter 0

The Preliminaries

Section 2

Polynomial Operations

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### Can we simplify the expression {image} ? If not, why?

• Yes

• No, there are no two terms alike.

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• {image}

• {image}

• {image}

• {image}

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• {image}

• {image}

• {image}

• {image}

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### Divide: {image} .

• {image}

• {image}

• {image}

• {image}

Chapter 0

The Preliminaries

Section 3

Factoring Polynomials

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### Factor out the GCF from the expression {image} .

• {image}

• {image}

• {image}

• {image}

1. 5(6x3y5z + 3x4y3z3 – 4x3y2z4)

2. 5xyz(6x2y4 + 3x3y2z2 – 4x2yz3)

3. 5x3y2z(6y3 + 3xyz2 – 4z3)

4. 5x3y2(6y3z + 3xyz3 – 4z4)

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• {image}

• {image}

• {image}

• {image}

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### Factor {image} .

• {image}

• {image}

• {image}

• {image}

Chapter 0

The Preliminaries

Section 4

Rational Expressions

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• {image}

• {image}

• {image}

• {image}

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• {image}

• {image}

• {image}

• {image}

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• {image}

• {image}

• {image}

• {image}

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### Change the complex fraction {image} to a simple fraction.

• {image}

• {image}

• {image}

• {image}

Chapter 0

The Preliminaries

Section 5

Solving Linear & Absolute

Value Equations

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I have some money in my pocket. You give me \$5 and I tell you that I now have \$37 total. Could you figure out how much money was originally in my pocket? If so, how much?

• No

• Yes, \$32.

• Yes, \$42.

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• -2

• 4

• 2

• -4

### Solve the absolute value equation {image} .

• 6

• 6, -2

• 0, 4

• 4

Chapter 0

The Preliminaries

Section 6

Graphing Calculator Basics

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### Compute {image} using your calculator and convert the answer to a fraction.

• {image}

• {image}

• {image}

• {image}

Chapter 0

The Preliminaries

Section 7

### Graph {image} on your calculator and find the y-value for {image} .

• 1544

• 0

• 234

• 744

Chapter 0

The Preliminaries

Section 8

Finding Roots & Graphing Piecewise Functions

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Graph the piecewise-defined function

• {image}

• {image}

• {image}

• {image}