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

1. 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.

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

3. Simplify the expression {image} . Write without negative exponents. {image} {image} {image} {image} 1. 2. 3. 4.

4. 1. 2. 3. 4. * Simplify the expression {image} . • {image} • {image} • {image} • {image}

5. 1. 2. 3. 4. * Multiply and simplify the result: {image} • {image} • {image} • {image} • {image}

6. What do we call expressions that, when multiplied together, create the difference of two squares? * • Square roots • Perfect squares • Conjugate pairs • Square pairs

7. Chapter 0 The Preliminaries Section 2 Polynomial Operations

8. * Can we simplify the expression {image} ? If not, why? • Yes • No, there are no two terms alike.

9. 1. 2. 3. 4. Subtract: {image} • {image} • {image} • {image} • {image}

10. 1. 2. 3. 4. Multiply and simplify: {image} . • {image} • {image} • {image} • {image}

11. 1. 2. 3. 4. Divide: {image} . • {image} • {image} • {image} • {image}

12. Chapter 0 The Preliminaries Section 3 Factoring Polynomials

13. 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)

14. 1. 2. 3. 4. * Factor {image} . • {image} • {image} • {image} • {image}

15. 1. 2. 3. 4. * Factor {image} . • {image} • {image} • {image} • {image}

16. Chapter 0 The Preliminaries Section 4 Rational Expressions

17. 1. 2. 3. 4. * Multiply the two rational expressions: {image} . • {image} • {image} • {image} • {image}

18. 1. 2. 3. 4. * Divide the two rational expressions: {image} . • {image} • {image} • {image} • {image}

19. 1. 2. 3. 4. * Add the rational polynomials: {image} . • {image} • {image} • {image} • {image}

20. 1. 2. 3. 4. Change the complex fraction {image} to a simple fraction. • {image} • {image} • {image} • {image}

21. Chapter 0 The Preliminaries Section 5 Solving Linear & Absolute Value Equations

22. * 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.

23. * Solve the linear equation {image} . • -2 • 4 • 2 • -4

24. Solve the absolute value equation {image} . • 6 • 6, -2 • 0, 4 • 4

25. Chapter 0 The Preliminaries Section 6 Graphing Calculator Basics

26. 1. 2. 3. 4. Compute {image} using your calculator and convert the answer to a fraction. • {image} • {image} • {image} • {image}

27. Chapter 0 The Preliminaries Section 7 Graphing With Your Calculator

28. Graph {image} on your calculator and find the y-value for {image} . • 1544 • 0 • 234 • 744

29. Chapter 0 The Preliminaries Section 8 Finding Roots & Graphing Piecewise Functions

30. 1. 2. 3. 4. Graph the piecewise-defined function Graph the piecewise-defined function {image} . • {image} • {image} • {image} • {image}