INSTRUCTOR’S SOLUTIONS MANUAL
Elementary Algebra for College Students, 10th edition
by Allen Angel, Dennis Runde
LU
XE
LI
BR
AR
Y
, TABLE OF CONTENT
1. Real Numbers
1.1 Study Skills for Success in Mathematics
1.2 Problem Solving
1.3 Fractions
1.4 The Real Number System
1.5 Inequalities and Absolute Value
Mid-Chapter Test: Sections 1.1-1.5
1.6 Addition of Real Numbers
1.7 Subtraction of Real Numbers
1.8 Multiplication and Division of Real Numbers
1.9 Exponents, Parentheses, and the Order of Operations
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1.10 Properties of the Real Number System
2. Solving Linear Equations and Inequalities
2.1 Combining Like Terms
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
XE
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
Mid-Chapter Test: Sections 2.1-2.4
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 Formulas
2.7 Ratios and Proportions
2.8 Inequalities in One Variable
LI
3. Applications of Algebra
3.1 Changing Application Problems into Equations
3.2 Solving Application Problems
Mid-Chapter Test: Sections 3.1-3.2
BR
3.3 Geometric Problems
3.4 Motion, Money, and Mixture Problems
4. Exponents and Polynomials
4.1 Exponents
4.2 Negative Exponents
4.3 Scientific Notation
AR
Mid-Chapter Test: Sections 4.1-4.3
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Division of Polynomials
5. Factoring
5.1 Factoring a Monomial from a Polynomial
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5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1
5.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1
Mid-Chapter Test: Sections 5.1-5.4
5.5 Special Factoring Formulas and a General Review of Factoring
5.6 Solving Quadratic Equations Using Factoring
5.7 Applications of Quadratic Equations
6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplication and Division of Rational Expressions
,6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and
Finding the Least Common Denominator
6.4 Addition and Subtraction of Rational Expressions
Mid-Chapter Test: Sections 6.1-6.4
6.5 Complex Fractions
6.6 Solving Rational Equations
6.7 Rational Equations: Applications and Problem Solving
6.8 Variation
7. Graphing Linear Equations
7.1 The Cartesian Coordinate System and Linear Equations in Two Variables
7.2 Graphing Linear Equations
7.3 Slope of a Line
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Mid-Chapter Test: Sections 7.1-7.3
7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
7.5 Graphing Linear Inequalities
7.6 Functions
8. Systems of Linear Equations
8.1 Solving Systems of Equations Graphically
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8.2 Solving Systems of Equations by Substitution
8.3 Solving Systems of Equations by the Addition Method
Mid-Chapter Test: Sections 8.1-8.3
8.4 Systems of Equations: Applications and Problem Solving
8.5 Solving Systems of Linear Inequalities
9. Roots and Radicals
LI
9.1 Evaluating Square Roots
9.2 Simplifying Square Roots
9.3 Adding, Subtracting, and Multiplying Square Roots
9.4 Dividing Square Roots
BR
Mid-Chapter Test: Sections 9.1-9.4
9.5 Solving Radical Equations
9.6 Radicals: Applications and Problem Solving
9.7 Higher Roots and Rational Exponents
10. Quadratic Equations
10.1 The Square Root Property
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10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by the Quadratic Formula
Mid-Chapter Test: Sections 10.1-10.3
10.4 Graphing Quadratic Equations
10.5 Complex Numbers
Appendices
Y
A. Review of Decimals and Percent
B. Geometry
, Chapter 1
Exercise Set 1.1 7. Work carefully step by step. Copy all signs and
exponents correctly when working from
1.-10. Answers will vary. step to step, and make sure to copy the original
11. To prepare properly for this class, you need to do question from the test correctly.
all the homework carefully and completely; 8. Write clearly so that your instructor can read
preview the new material that is to be covered in
LU
your work. If your instructor cannot read your
class. work, you may lose credit. Also, if your writing
12. Answers will vary. is not clear, it is easy to make a mistake when
working from one step to the next. When
13. At least 2 hours of study and homework time for appropriate, make sure that your final answer
each hour of class time is generally recommended. stands out by placing a box around it.
14. A mathematics text should be read slowly and 9. If you have time, check your work and your
XE
carefully; do not just skim the text. answers.
15. a. You need to do the homework in order to 10. Do not be concerned if others finish the test
practice what was presented in class. before you or if you are the last to finish. Use
b. When you miss class, you miss important any extra time to check your work.
information. Therefore, it is important that you Exercise Set 1.2
attend class regularly.
LI
1. The median of the data 2, 4, 7, 8, 9 is 7.
16. It is important to know why you follow the specific
steps to solve a problem so that you will be able to 2. A general collection of numbers, symbols, and
solve similar types of problems. operations is called a(n) expression.
17. Answers will vary. 3. The symbol means approximately equal to.
BR
18. 1. Carefully write down any formulas or ideas that 4. The mean of the data 2, 4, 7, 8, 9 is 6.
you need to remember.
5. One of the five important steps in problem solving,
2. Look over the entire exam quickly to get an idea seeing if your answer makes sense, is referred to as
of its length. Also make sure that no pages are checking a problem.
missing.
6. The mean and median are types of averages, also
3. Read the test directions carefully. called measures of central tendency.
AR
4. Read each question carefully. Show all of your 7. Graphical representation of data includes bar
work. Answer each question completely, and graphs, line graphs and circle graphs.
make sure that you have answered the specific
8. Parentheses and brackets are examples of grouping
question asked.
symbols.
5. Work the questions you understand best first;
9. In this book we use Pólya’s five-step approach for
then go back and work those you are not sure of.
problem solving.
Do not spend too much time on any one problem
Y
or you may not be able to complete the exam. Be 10. Reading a problem at least twice, making a list of
prepared to spend more time on problems worth facts, and making a sketch are the problem-solving
more points. step called understanding the problem.
6. Attempt each problem. You may get at least 78 97 59 74 74 382
partial credit even if you do not obtain the 11. a. 76.4
5 5
correct answer. If you make no attempt at The mean grade is 76.4.
answering the question, you will lose full credit.
b. 59, 74, 74, 78, 97. The middle value is 74.
The median grade is 74.
1
Copyright © 2019 by Pearson Education, Inc.
Elementary Algebra for College Students, 10th edition
by Allen Angel, Dennis Runde
LU
XE
LI
BR
AR
Y
, TABLE OF CONTENT
1. Real Numbers
1.1 Study Skills for Success in Mathematics
1.2 Problem Solving
1.3 Fractions
1.4 The Real Number System
1.5 Inequalities and Absolute Value
Mid-Chapter Test: Sections 1.1-1.5
1.6 Addition of Real Numbers
1.7 Subtraction of Real Numbers
1.8 Multiplication and Division of Real Numbers
1.9 Exponents, Parentheses, and the Order of Operations
LU
1.10 Properties of the Real Number System
2. Solving Linear Equations and Inequalities
2.1 Combining Like Terms
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
XE
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
Mid-Chapter Test: Sections 2.1-2.4
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 Formulas
2.7 Ratios and Proportions
2.8 Inequalities in One Variable
LI
3. Applications of Algebra
3.1 Changing Application Problems into Equations
3.2 Solving Application Problems
Mid-Chapter Test: Sections 3.1-3.2
BR
3.3 Geometric Problems
3.4 Motion, Money, and Mixture Problems
4. Exponents and Polynomials
4.1 Exponents
4.2 Negative Exponents
4.3 Scientific Notation
AR
Mid-Chapter Test: Sections 4.1-4.3
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Division of Polynomials
5. Factoring
5.1 Factoring a Monomial from a Polynomial
Y
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1
5.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1
Mid-Chapter Test: Sections 5.1-5.4
5.5 Special Factoring Formulas and a General Review of Factoring
5.6 Solving Quadratic Equations Using Factoring
5.7 Applications of Quadratic Equations
6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplication and Division of Rational Expressions
,6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and
Finding the Least Common Denominator
6.4 Addition and Subtraction of Rational Expressions
Mid-Chapter Test: Sections 6.1-6.4
6.5 Complex Fractions
6.6 Solving Rational Equations
6.7 Rational Equations: Applications and Problem Solving
6.8 Variation
7. Graphing Linear Equations
7.1 The Cartesian Coordinate System and Linear Equations in Two Variables
7.2 Graphing Linear Equations
7.3 Slope of a Line
LU
Mid-Chapter Test: Sections 7.1-7.3
7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
7.5 Graphing Linear Inequalities
7.6 Functions
8. Systems of Linear Equations
8.1 Solving Systems of Equations Graphically
XE
8.2 Solving Systems of Equations by Substitution
8.3 Solving Systems of Equations by the Addition Method
Mid-Chapter Test: Sections 8.1-8.3
8.4 Systems of Equations: Applications and Problem Solving
8.5 Solving Systems of Linear Inequalities
9. Roots and Radicals
LI
9.1 Evaluating Square Roots
9.2 Simplifying Square Roots
9.3 Adding, Subtracting, and Multiplying Square Roots
9.4 Dividing Square Roots
BR
Mid-Chapter Test: Sections 9.1-9.4
9.5 Solving Radical Equations
9.6 Radicals: Applications and Problem Solving
9.7 Higher Roots and Rational Exponents
10. Quadratic Equations
10.1 The Square Root Property
AR
10.2 Solving Quadratic Equations by Completing the Square
10.3 Solving Quadratic Equations by the Quadratic Formula
Mid-Chapter Test: Sections 10.1-10.3
10.4 Graphing Quadratic Equations
10.5 Complex Numbers
Appendices
Y
A. Review of Decimals and Percent
B. Geometry
, Chapter 1
Exercise Set 1.1 7. Work carefully step by step. Copy all signs and
exponents correctly when working from
1.-10. Answers will vary. step to step, and make sure to copy the original
11. To prepare properly for this class, you need to do question from the test correctly.
all the homework carefully and completely; 8. Write clearly so that your instructor can read
preview the new material that is to be covered in
LU
your work. If your instructor cannot read your
class. work, you may lose credit. Also, if your writing
12. Answers will vary. is not clear, it is easy to make a mistake when
working from one step to the next. When
13. At least 2 hours of study and homework time for appropriate, make sure that your final answer
each hour of class time is generally recommended. stands out by placing a box around it.
14. A mathematics text should be read slowly and 9. If you have time, check your work and your
XE
carefully; do not just skim the text. answers.
15. a. You need to do the homework in order to 10. Do not be concerned if others finish the test
practice what was presented in class. before you or if you are the last to finish. Use
b. When you miss class, you miss important any extra time to check your work.
information. Therefore, it is important that you Exercise Set 1.2
attend class regularly.
LI
1. The median of the data 2, 4, 7, 8, 9 is 7.
16. It is important to know why you follow the specific
steps to solve a problem so that you will be able to 2. A general collection of numbers, symbols, and
solve similar types of problems. operations is called a(n) expression.
17. Answers will vary. 3. The symbol means approximately equal to.
BR
18. 1. Carefully write down any formulas or ideas that 4. The mean of the data 2, 4, 7, 8, 9 is 6.
you need to remember.
5. One of the five important steps in problem solving,
2. Look over the entire exam quickly to get an idea seeing if your answer makes sense, is referred to as
of its length. Also make sure that no pages are checking a problem.
missing.
6. The mean and median are types of averages, also
3. Read the test directions carefully. called measures of central tendency.
AR
4. Read each question carefully. Show all of your 7. Graphical representation of data includes bar
work. Answer each question completely, and graphs, line graphs and circle graphs.
make sure that you have answered the specific
8. Parentheses and brackets are examples of grouping
question asked.
symbols.
5. Work the questions you understand best first;
9. In this book we use Pólya’s five-step approach for
then go back and work those you are not sure of.
problem solving.
Do not spend too much time on any one problem
Y
or you may not be able to complete the exam. Be 10. Reading a problem at least twice, making a list of
prepared to spend more time on problems worth facts, and making a sketch are the problem-solving
more points. step called understanding the problem.
6. Attempt each problem. You may get at least 78 97 59 74 74 382
partial credit even if you do not obtain the 11. a. 76.4
5 5
correct answer. If you make no attempt at The mean grade is 76.4.
answering the question, you will lose full credit.
b. 59, 74, 74, 78, 97. The middle value is 74.
The median grade is 74.
1
Copyright © 2019 by Pearson Education, Inc.
