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

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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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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.

{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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Subtract: {image}
• {image}
• {image}
• {image}
• {image}

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Multiply and simplify: {image} .
• {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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Factor {image} .
• {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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Multiply the two rational expressions: {image} .
• {image}
• {image}
• {image}
• {image}

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Divide the two rational expressions: {image} .
• {image}
• {image}
• {image}
• {image}

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Add the rational polynomials: {image} .
• {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.

Chapter 0

The Preliminaries

Section 6

Graphing Calculator Basics

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• {image}
• {image}
• {image}
• {image}

Chapter 0

The Preliminaries

Section 7

• 1544
• 0
• 234
• 744

Chapter 0

The Preliminaries

Section 8

Finding Roots & Graphing Piecewise Functions

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Graph the piecewise-defined function

Graph the piecewise-defined function {image} .
• {image}
• {image}
• {image}
• {image}