Mathematics: Journey from Basic Mathematics through Intermediate Algebra 1st edition

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• Chapter 1: Whole Numbers
  • 1.11: 1A Identify the order relation between two numbers
  • 1.12: 1B Write whole numbers in words, in standard form, and in expanded form
  • 1.13: 1C Round a whole number to a given place value
  • 1.14: 1D Solve application problems and use statistical graphs
  • 1.21: 2A Add whole numbers
  • 1.22: 2B Subtract whole numbers
  • 1.23: 2C Solve application problems
  • 1.31: 3A Multiply whole numbers
  • 1.32: 3B Divide whole numbers
  • 1.33: 3C Solve application problems
  • 1.41: 4A Simplify expressions that contain exponents
  • 1.42: 4B Use the Order of Operations Agreement to simplify expressions
  
  
• Chapter 2: Integers
  • 2.11: 1A Use inequality symbols with integers
  • 2.12: 1B Simplify expressions with absolute value
  • 2.21: 2A Add integers
  • 2.22: 2B Subtract integers
  • 2.23: 2C Solve application problems
  • 2.31: 3A Multiply integers
  • 2.32: 3B Divide integers
  • 2.33: 3C Solve application problems
  • 2.41: 4A Simplify expressions containing exponents
  • 2.42: 4B Use the Order of Operations Agreement to simplify expressions
  
  
• Chapter 3: Fractions
  • 3.11: 1A Factor numbers and find the prime factorization of numbers
  • 3.12: 1B Find the least common multiple (LCM)
  • 3.13: 1C Find the greatest common factor (GCF)
  • 3.21: 2A Write a fraction that represents part of a whole
  • 3.22: 2B Write an improper fraction as a mixed number or a whole number, and a mixed number as an improper fraction
  • 3.31: 3A Write a fraction in simplest form
  • 3.32: 3B Find equivalent fractions by raising to higher terms
  • 3.33: 3C Identify the order relation between two fractions
  • 3.41: 4A Multiply fractions
  • 3.42: 4B Divide fractions
  • 3.43: 4C Solve application problems and use formulas
  • 3.51: 5A Add fractions
  • 3.52: 5B Subtract fractions
  • 3.53: 5C Solve application problems
  • 3.61: 6A Multiply and divide positive and negative fractions
  • 3.62: 6B Add and subtract positive and negative fractions
  • 3.71: 7A Use the Order of Operations Agreement to simplify expressions
  • 3.72: 7B Simplify complex fractions
  
  
• Chapter 4: Decimals and Percents
  • 4.11: 1A Write decimals in standard form and in words
  • 4.12: 1B Round a decimal to a given place value
  • 4.13: 1C Compare decimals
  • 4.21: 2A Add and subtract decimals
  • 4.22: 2B Solve application problems and use formulas
  • 4.31: 3A Multiply decimals
  • 4.32: 3B Divide decimals
  • 4.33: 3C Solve application problems and use formulas
  • 4.41: 4A Convert fractions to decimals
  • 4.42: 4B Convert decimals to fractions
  • 4.43: 4C Compare a fraction and a decimal
  • 4.44: 4D Write ratios and rates
  • 4.51: 5A Write a percent as a decimal or a fraction
  • 4.52: 5B Write a decimal or fraction as a percent
  • 4.61: 6A Find the square root of a perfect square
  • 4.62: 6B Approximate the square root of a natural number
  • 4.63: 6C Solve application problems
  
  
• Chapter 5: Variable Expressions
  • 5.11: 1A Evaluate a variable expression
  • 5.21: 2A Simplify a variable expression using the Properties of Addition
  • 5.22: 2B Simplify a variable expression using the Properties of Multiplication
  • 5.23: 2C Simplify a variable expression using the Distributive Property
  • 5.24: 2D Simplify general variable expressions
  • 5.31: 3A Translate a verbal expression into a variable expression, given the variable
  • 5.32: 3B Translate a verbal expression into a variable expression and then simplify
  • 5.33: 3C Translate application problems
  
  
• Chapter 6: Introduction to Equations
  • 6.11: 1A Determine whether a given number is a solution of an equation
  • 6.12: 1B Solve an equation of the form x + a = b
  • 6.13: 1C Solve an equation of the form ax = b
  • 6.14: 1D Solve basic uniform motion problems
  • 6.21: 2A Solve proportions
  • 6.22: 2B Solve application problems using proportions
  • 6.31: 3A Solve the basic percent equation
  • 6.32: 3B Solve percent problems using proportions
  • 6.33: 3C Solve application problems
  • 6.41: 4A Solve percent increase problems
  • 6.42: 4B Solve percent decrease problems
  • 6.51: 5A Solve markup problems
  • 6.52: 5B Solve discount problems
  • 6.61: 6A Solve simple interest problems
  
  
• Chapter 7: General First-Degree Equations and Inequalities
  • 7.11: 1A Solve an equation of the form ax + b = c
  • 7.12: 1B Solve an equation of the form ax + b = cx + d
  • 7.13: 1C Solve an equation containing parentheses
  • 7.14: 1D Solve a literal equation for one of the variables
  • 7.15: 1E Solve an absolute value equation
  • 7.21: 2A Solve integer problems
  • 7.22: 2B Translate a sentence into an equation and solve
  • 7.31: 3A Solve value mixture problems
  • 7.32: 3B Solve percent mixture problems
  • 7.33: 3C Solve uniform motion problems
  • 7.41: 4A Write sets of real numbers using set-builder notation and interval notation
  • 7.42: 4B Solve an inequality in one variable
  • 7.43: 4C Solve application problems
  • 7.51: 5A Solve a compound inequality
  • 7.52: 5B Solve an absolute value inequality
  
  
• Chapter 8: Linear Functions and Inequalities in Two Variables
  • 8.11: 1A Find the length and midpoint of a line segment
  • 8.12: 1B Graph an equation in two variables
  • 8.21: 2A Evaluate a function
  • 8.22: 2B Graph a function
  • 8.23: 2C Apply the vertical line test
  • 8.31: 3A Graph a linear function
  • 8.32: 3B Graph an equation of the form Ax + By = C
  • 8.33: 3C Find the x- and the y-intercepts of a straight line
  • 8.34: 3D Solve application problems
  • 8.41: 4A Find the slope of a line given two points
  • 8.42: 4B Find average rate of change
  • 8.43: 4C Graph a line given a point and the slope
  • 8.51: 5A Find the equation of a line given a point and the slope
  • 8.52: 5B Find the equation of a line given two points
  • 8.53: 5C Solve application problems
  • 8.61: 6A Find parallel and perpendicular lines
  • 8.71: 7A Graph the solution set of an inequality in two variables
  
  
• Chapter 9: Systems of Linear Equations in Two or Three Variables
  • 9.11: 1A Solve a system of linear equations by graphing
  • 9.12: 1B Solve a system of linear equations by the substitution method
  • 9.13: 1C Solve investment problems
  • 9.21: 2A Solve a system of two linear equations in two variables by the addition method
  • 9.22: 2B Solve a system of three linear equations in three variables by the addition method
  • 9.31: 3A Evaluate a determinant
  • 9.32: 3B Solve a system of equations by using Cramer's Rule
  • 9.41: 4A Solve rate-of-wind or rate-of-current problems
  • 9.42: 4B Solve application problems
  • 9.51: 5A Graph the solution set of a system of linear inequalities
  
  
• Chapter 10: Polynomials
  • 10.11: 1A Add polynomials
  • 10.12: 1B Subtract polynomials
  • 10.21: 2A Multiply monomials
  • 10.22: 2B Simplify powers of monomials
  • 10.31: 3A Multiply a polynomial by a monomial
  • 10.32: 3B Multiply two polynomials
  • 10.33: 3C Multiply two binomials
  • 10.34: 3D Multiply binomials that have special products
  • 10.41: 4A Simplify expressions containing integer exponents
  • 10.42: 4B Use scientific notation
  • 10.51: 5A Divide a polynomial by a monomial
  • 10.52: 5B Divide polynomials
  
  
• Chapter 11: Factoring Polynomials
  • 11.11: 1A Factor a monomial from a polynomial
  • 11.12: 1B Factor by grouping
  • 11.21: 2A Factor trinomials of the form x² + bx + c
  • 11.22: 2B Factor completely
  • 11.31: 3A Factor trinomials of the form ax² + bx + c by using trial factors
  • 11.32: 3B Factor trinomials of the form ax² + bx + c by grouping
  • 11.41: 4A Factor the difference of two squares and perfect-square trinomials
  • 11.42: 4B Factor the sum or difference of two perfect cubes
  • 11.43: 4C Factor a trinomial that is quadratic in form
  • 11.44: 4D Factor completely
  • 11.51: 5A Solve equations by factoring
  • 11.52: 5B Solve application problems
  
  
• Chapter 12: Rational Expressions
  • 12.11: 1A Simplify rational expressions
  • 12.12: 1B Multiply rational expressions
  • 12.13: 1C Divide rational expressions
  • 12.21: 2A Express two fractions in terms of a common denominator
  • 12.22: 2B Add and subtract rational expressions
  • 12.31: 3A Simplify complex fractions
  • 12.41: 4A Solve equations containing fractions
  • 12.42: 4B Solve problems involving similar triangles
  • 12.51: 5A Solve direct and inverse variation problems
  • 12.61: 6A Solve work problems
  • 12.62: 6B Solve uniform motion problems
  
  
• Chapter 13: Rational Exponents and Radicals
  • 13.11: 1A Simplify numerical radical expressions
  • 13.12: 1B Simplify variable radical expressions
  • 13.21: 2A Add and subtract radical expressions
  • 13.31: 3A Multiply radical expressions
  • 13.32: 3B Divide radical expressions
  • 13.41: 4A Solve equations containing one or more radical expressions
  • 13.42: 4B Solve application problems
  • 13.51: 5A Simplify expressions with rational exponents
  • 13.52: 5B Write exponential expressions as radical expressions and radical expressions as exponential expressions
  • 13.53: 5C Simplify radical expressions that are roots of perfect powers
  
  
• Chapter 14: Quadratic Equations
  • 14.11: 1A Solve quadratic equations by factoring
  • 14.12: 1B Solve quadratic equations by taking square roots
  • 14.21: 2A Solve quadratic equations by completing the square
  • 14.31: 3A Solve quadratic equations by using the quadratic formula
  • 14.41: 4A Solve application problems
  • 14.51: 5A Simplify complex numbers
  • 14.52: 5B Add and subtract complex numbers
  • 14.53: 5C Multiply complex numbers
  • 14.54: 5D Divide complex numbers
  • 14.55: 5E Solve quadratic equations with complex number solutions
  • 14.61: 6A Solve equations that are quadratic in form
  • 14.62: 6B Solve radical equations
  • 14.63: 6C Solve fractional equations
  • 14.71: 7A Solve nonlinear inequalities
  
  
• Chapter 15: More on Functions
  • 15.11: 1A Graph a quadratic function
  • 15.12: 1B Find the x-intercepts of a parabola
  • 15.13: 1C Find the zeros of a quadratic function
  • 15.21: 2A Solve minimum and maximum problems
  • 15.22: 2B Solve applications of minimum and maximum
  • 15.31: 3A Perform operations on functions
  • 15.32: 3B Find the composition of two functions
  • 15.41: 4A Determine whether a function is one-to-one
  • 15.42: 4B Find the inverse of a function
  
  
• Chapter 16: Exponential and Logarithmic Functions
  • 16.11: 1A Evaluate exponential functions
  • 16.12: 1B Graph exponential functions
  • 16.21: 2A Write equivalent exponential and logarithmic equations
  • 16.22: 2B Use the properties of logarithms
  • 16.31: 3A Graph logarithmic functions
  • 16.41: 4A Solve exponential equations
  • 16.42: 4B Solve logarithmic equations
  • 16.51: 5A Solve application problems
  
  
• Chapter 17: Conic Sections
  • 17.11: 1A Graph parabolas
  • 17.21: 2A Find the equation of a circle and then graph the circle
  • 17.22: 2B Write the equation of a circle in standard form and then graph the circle
  • 17.31: 3A Graph an ellipse with center at the origin
  • 17.32: 3B Graph a hyperbola with center at the origin
  • 17.41: 4A Solve nonlinear systems of equations
  
  
• Chapter 18: Sequences, Series, and the Binomial Theorem
  • 18.11: 1A Write the terms of a sequence
  • 18.12: 1B Evaluate a series
  • 18.21: 2A Find the nth term of an arithmetic sequence
  • 18.22: 2B Evaluate an arithmetic series
  • 18.23: 2C Solve application problems
  • 18.31: 3A Find the nth term of a geometric sequence
  • 18.32: 3B Find the sum of a finite geometric series
  • 18.33: 3C Find the sum of an infinite geometric series
  • 18.34: 3D Solve application problems
  • 18.41: 4A Expand (a + b)ⁿ
  
  
• Chapter 19: Measurement
  • 19.11: 1A Convert units of length in the U.S. Customary System
  • 19.12: 1B Convert units of weight in the U.S. Customary System
  • 19.13: 1C Convert units of capacity in the U.S. Customary System
  • 19.14: 1D Convert units of time
  • 19.21: 2A Convert units of length in the metric system
  • 19.22: 2B Convert units of mass in the metric system
  • 19.23: 2C Convert units of capacity in the metric system
  • 19.31: 3A Convert U.S. Customary units to metric units
  • 19.32: 3B Convert metric units to U.S. Customary units
  
  
• Chapter 20: Geometry
  • 20.11: 1A Define and describe lines and angles
  • 20.12: 1B Define and describe geometric figures
  • 20.13: 1C Solve problems involving angles formed by intersecting lines
  • 20.21: 2A Find the perimeter of a plane geometric figure
  • 20.22: 2B Find the perimeter of a composite geometric figure
  • 20.23: 2C Solve application problems
  • 20.31: 3A Find the area of a geometric figure
  • 20.32: 3B Find the area of a composite geometric figure
  • 20.33: 3C Solve application problems
  • 20.41: 4A Find the volume of a geometric solid
  • 20.42: 4B Find the volume of a composite geometric solid
  • 20.43: 4C Solve application problems
  • 20.51: 5A Find the square root of a number
  • 20.52: 5B Find the unknown side of a right triangle using the Pythagorean Theorem
  • 20.53: 5C Solve application problems
  • 20.61: 6A Solve similar and congruent triangles
  
  
• Chapter 21: Statistics and Probability
  • 21.11: 1A Read a pictograph
  • 21.12: 1B Read a circle graph
  • 21.21: 2A Read a bar graph
  • 21.22: 2B Read a broken-line graph
  • 21.31: 3A Create frequency distributions
  • 21.32: 3B Read histograms
  • 21.33: 3C Read frequency polygons
  • 21.41: 4A Find the mean, median, and mode of a distribution
  • 21.42: 4B Draw a box-and-whiskers plot
  • 21.43: 4C Find the standard deviation of a distribution
  • 21.51: 5A Calculate the probability of simple events
  • 21.52: 5B Calculate the odds of an event
  
  
• Chapter 0: AIM for Success: How to Succeed in This Course
  • 0: AIM for Success: How to Succeed in This Course