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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}

1.

2.

3.

4.


1.

2.

3.

4.

*

Simplify the expression {image} .

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

*

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?

*

  • Square roots

  • Perfect squares

  • Conjugate pairs

  • Square pairs


Chapter 0

The Preliminaries

Section 2

Polynomial Operations


*

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

  • Yes

  • No, there are no two terms alike.


1.

2.

3.

4.

Subtract: {image}

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

Multiply and simplify: {image} .

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

Divide: {image} .

  • {image}

  • {image}

  • {image}

  • {image}


Chapter 0

The Preliminaries

Section 3

Factoring Polynomials


1.

2.

3.

4.

*

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)


1.

2.

3.

4.

*

Factor {image} .

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

*

Factor {image} .

  • {image}

  • {image}

  • {image}

  • {image}


Chapter 0

The Preliminaries

Section 4

Rational Expressions


1.

2.

3.

4.

*

Multiply the two rational expressions: {image} .

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

*

Divide the two rational expressions: {image} .

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

*

Add the rational polynomials: {image} .

  • {image}

  • {image}

  • {image}

  • {image}


1.

2.

3.

4.

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

  • {image}

  • {image}

  • {image}

  • {image}


Chapter 0

The Preliminaries

Section 5

Solving Linear & Absolute

Value Equations


*

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.


*

Solve the linear equation {image} .

  • -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


1.

2.

3.

4.

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

  • {image}

  • {image}

  • {image}

  • {image}


Chapter 0

The Preliminaries

Section 7

Graphing With Your Calculator


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


1.

2.

3.

4.

Graph the piecewise-defined function

Graph the piecewise-defined function {image} .

  • {image}

  • {image}

  • {image}

  • {image}


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