Test Bank For
College Algebra with
Corequisite Support, 5th
TE
edition By Judith Beecher,
Judith Penna
ST
(All Chapters 1-8, 100%
SO
Original Verified, A+ Grade)
This is The Original Test Bank
LU
For 5th Canadian Edition
TI
O
N
, Table of Content
1. Graphs, Functions, and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities
Integrated Review Topics:
Graphing Linear Functions
Operations on the Real Numbers
TE
Order of operations
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares
The principle of zero products
Interval notation
ST
Solving linear equations
Solving linear inequalities
2. More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
SO
2.4 Symmetry
2.5 Transformations
2.6 Variation and Applications
Integrated Review Topics:
Interval Notation
The Pythagorean Theorem
LU
Simplifying Rational expressions
Addition and subtraction of polynomials
Simplifying complex rational expressions
3. Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
TI
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
3.4 Solving Rational Equations and Radical Equations
3.5 Solving Equations and Inequalities with Absolute Value
O
Integrated Review Topics:
Multiplying radical expressions
Multiplying binomials
N
Simplifying radical expressions
Completing the square
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares
The principle of zero products
Finding the LCM of algebraic expressions
The principle of powers
4. Polynomial Functions and Rational Functions
4.1 Polynomial Functions and Models
4.2 Graphing Polynomial Functions
,4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
4.6 Polynomial Inequalities and Rational Inequalities
Integrated Review Topics:
Introduction to polynomials
Factoring by grouping
Operations on the Real Numbers
Interval Notation
5. Exponential Functions and Logarithmic Functions
5.1 Inverse Functions
TE
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Integrated Review Topics:
ST
Integers as exponents
Finding logarithms without a calculator
6. Systems of Equations and Matrices
6.1 Systems of Equations in Two Variables
6.2 Systems of Equations in Three Variables
SO
6.3 Matrices and Systems of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer’s Rule
6.7 Systems of Inequalities and Linear Programming
6.8 Partial Fractions
LU
Integrated Review Topics:
Graphing Linear Functions
Operations on the Real Numbers
7. Conic Sections
7.1 The Parabola
7.2 The Circle and the Ellipse
TI
7.3 The Hyperbola
7.4 Nonlinear Systems of Equations and Inequalities
Integrated Review Topic:
Completing the square
O
8. Sequences, Series, and Combinatorics
8.1 Sequences and Series
8.2 Arithmetic Sequences and Series
N
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 Combinatorics: Permutations
8.6 Combinatorics: Combinations
8.7 The Binomial Theorem
8.8 Probability
, qwertyuio
3
1. Determine whether the ordered pair − 5, is a solution of the ANSWERS
4
equation 3x – 8y = 21. 1.
TE
2. Find the intercepts of 3x − 2 y = 6
and graph the line. 2.
See graph.
ST
3.
3. Find the distance between (4, 8) and (–7, 6) .
SO
4.
4. Find the midpoint of the segment with endpoints (1, 0) and
(5, – 8) .
5.
LU
Find the center and the radius of the circle ( x + 6) + y2 = 9 .
2
5.
6.
6. Find an equation of the circle with center (–2, 3) and radius 11 .
TI
7. a) Determine whether the relation {(–5, 5),(–4, 4),(3, – 3),(1, 1)} 7. a)
is a function. Answer yes or no. b)
c)
b) Find the domain of the relation.
O
c) Find the range of the relation.
8. a)
Given that f ( x) = x2 – 6x + 2 , find each of the following.
N
8. b)
a) f (–1) b) f (a + 3)
3– x
9. Given that f ( x ) = , find each of the following. 9. a)
4+ x b)
a) f (− 4) b) f (− 3)
iuytrew
College Algebra with
Corequisite Support, 5th
TE
edition By Judith Beecher,
Judith Penna
ST
(All Chapters 1-8, 100%
SO
Original Verified, A+ Grade)
This is The Original Test Bank
LU
For 5th Canadian Edition
TI
O
N
, Table of Content
1. Graphs, Functions, and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities
Integrated Review Topics:
Graphing Linear Functions
Operations on the Real Numbers
TE
Order of operations
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares
The principle of zero products
Interval notation
ST
Solving linear equations
Solving linear inequalities
2. More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
SO
2.4 Symmetry
2.5 Transformations
2.6 Variation and Applications
Integrated Review Topics:
Interval Notation
The Pythagorean Theorem
LU
Simplifying Rational expressions
Addition and subtraction of polynomials
Simplifying complex rational expressions
3. Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
TI
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
3.4 Solving Rational Equations and Radical Equations
3.5 Solving Equations and Inequalities with Absolute Value
O
Integrated Review Topics:
Multiplying radical expressions
Multiplying binomials
N
Simplifying radical expressions
Completing the square
Factoring trinomials: ax2 + bx + c
Factoring trinomial squares and differences of squares
The principle of zero products
Finding the LCM of algebraic expressions
The principle of powers
4. Polynomial Functions and Rational Functions
4.1 Polynomial Functions and Models
4.2 Graphing Polynomial Functions
,4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
4.6 Polynomial Inequalities and Rational Inequalities
Integrated Review Topics:
Introduction to polynomials
Factoring by grouping
Operations on the Real Numbers
Interval Notation
5. Exponential Functions and Logarithmic Functions
5.1 Inverse Functions
TE
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Integrated Review Topics:
ST
Integers as exponents
Finding logarithms without a calculator
6. Systems of Equations and Matrices
6.1 Systems of Equations in Two Variables
6.2 Systems of Equations in Three Variables
SO
6.3 Matrices and Systems of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer’s Rule
6.7 Systems of Inequalities and Linear Programming
6.8 Partial Fractions
LU
Integrated Review Topics:
Graphing Linear Functions
Operations on the Real Numbers
7. Conic Sections
7.1 The Parabola
7.2 The Circle and the Ellipse
TI
7.3 The Hyperbola
7.4 Nonlinear Systems of Equations and Inequalities
Integrated Review Topic:
Completing the square
O
8. Sequences, Series, and Combinatorics
8.1 Sequences and Series
8.2 Arithmetic Sequences and Series
N
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 Combinatorics: Permutations
8.6 Combinatorics: Combinations
8.7 The Binomial Theorem
8.8 Probability
, qwertyuio
3
1. Determine whether the ordered pair − 5, is a solution of the ANSWERS
4
equation 3x – 8y = 21. 1.
TE
2. Find the intercepts of 3x − 2 y = 6
and graph the line. 2.
See graph.
ST
3.
3. Find the distance between (4, 8) and (–7, 6) .
SO
4.
4. Find the midpoint of the segment with endpoints (1, 0) and
(5, – 8) .
5.
LU
Find the center and the radius of the circle ( x + 6) + y2 = 9 .
2
5.
6.
6. Find an equation of the circle with center (–2, 3) and radius 11 .
TI
7. a) Determine whether the relation {(–5, 5),(–4, 4),(3, – 3),(1, 1)} 7. a)
is a function. Answer yes or no. b)
c)
b) Find the domain of the relation.
O
c) Find the range of the relation.
8. a)
Given that f ( x) = x2 – 6x + 2 , find each of the following.
N
8. b)
a) f (–1) b) f (a + 3)
3– x
9. Given that f ( x ) = , find each of the following. 9. a)
4+ x b)
a) f (− 4) b) f (− 3)
iuytrew