Workbook to Accompany Corequisite Support Modules for College Algebra or Precalculus, 1st edition
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0135775469 / 9780135775462 MYLAB MATH -- 18 INSTANT ACCESS -- FOR COREQUISITE SUPPORT MODULES FOR COLLEGE ALGEBRA OR PRECALCULUS, 1/e
Table of contents
Module 1: Solving Linear Equations and Inequalities; Formulas
1.1 Linear Equations in One Variable
- 1.Distinguish between expressions and equations.
- 2.Solve linear equations in one variable using the addition property of equality.
- 3.Solve linear equations in one variable using the multiplication property of equality.
- 4.Solve linear equations in one variable using both properties of equality.
- 5.Translate sentences into equations.
- 6.Solve applications involving linear equations in one variable.
1.2 Linear Inequalities in One Variable
- 1.Write inequality statements using real numbers and inequality symbols.
- 2.Graph linear inequalities in one variable on a number line.
- 3.Write solutions to inequalities in set-builder notation.
- 4.Write solutions to inequalities in interval notation.
- 5.Solve linear inequalities in one variable.
- 6.Translate sentences into linear inequalities in one variable.
- 7.Solve applications involving linear inequalities in one variable.
1.3 Compound Inequalities
- 1.Find the union of two sets.
- 2.Find the intersection of two sets.
- 3.Graph compound inequalities on a number line.
- 4.Solve compound inequalities and write the solution sets in set-builder and interval notation.
- 1.Solve a formula for a specific variable.
- 2.Find the perimeter of a figure.
- 3.Find the circumference of a circle.
- 4.Find the area of a figure.
- 5.Find the volume of a figure.
- 6.Solve applications involving distance, rate, and time.
Module 2: Graphing Linear Equations and Inequalities in Two Variables
2.1 The Rectangular Coordinate System
- 1.Write ordered pairs.
- 2.Plot points in the rectangular coordinate system.
- 3.Complete a table of values of ordered pair solutions for a linear equation in two variables.
- 4.Graph linear equations in two variables using a table of values.
- 1.Find the intercepts of a line.
- 2.Graph a linear equation in two variables given its intercepts.
- 1.Find the slope of a line given two points on the line.
- 2.Find the slope of a line given its graph.
- 3.Graph a line given its equation in slope-intercept form.
- 4.Graph a line given one point on the line and the slope.
- 5.Graph vertical lines.
6. Graph horizontal lines.
7. Use slope with parallel and perpendicular lines.
8. Interpret slope as a rate of change.
2.4 Equations of Lines
- 1.Find the slope of a line given its equation.
- 2.Write the slope-intercept form of a line.
- 3.Write the equation of a line given the slope and a point on the line.
- 4.Write the equation of a line through two given points.
2.5 Graphs of Linear Inequalities in Two Variables
- 1.Graph linear inequalities in two variables.
Module 3: Exponents and Polynomials
3.1 Exponential Expressions and Rules for Exponents
- 1.Evaluate exponential expressions with positive exponents.
- 2.Use the product rule for exponents.
- 3.Use the power rules for exponents.
- 4.Use the quotient rule for exponents.
- 5.Evaluate exponential expressions with integer exponents.
- 6.Simplify exponential expressions using the rules for exponents.
3.2 Polynomial Expressions
- 1.Identify parts of a polynomial (coefficient, term, degree, factor, constant).
- 2.Classify polynomials.
- 3.Evaluate polynomial expressions.
- 4.Add polynomials.
- 5.Subtract polynomials.
- 6.Multiply monomials.
- 7.Multiply a monomial and a polynomial.
- 8.Multiply polynomials.
- 9.Multiply the sum and difference of two terms.
- 10.Square binomials.
- 1.Factor out the GCF of a polynomial.
- 2.Factor trinomials with a leading coefficient of 1.
3. Factor trinomials with a leading coefficient other than 1.
4. Factor polynomials by grouping.
5. Factor a difference of squares.
6. Factor the sum or difference of two cubes.
7. Factor polynomials completely.
3.4 Division of Polynomials
- 1.Divide a polynomial by a nominal
- 2.Divide polynomials using long division
Module 4: Systems of Equations
4.1 Systems of Linear Equations in Two Variables
- 1.Determine if an ordered pair is a solution to a system of linear equations in two variables.
- 2.Solve a system of linear equations in two variables by graphing.
- 3.Solve a system of linear equations in two variables by substitution.
- 4.Solve a system of linear equations in two variables by addition.
- 5.Solve applications involving systems of linear equations in two variables.
4.2 Systems of Linear Equations in Three Variables
- 1.Determine whether an ordered triple is a solution to a system of linear equations in three variables.
- 2.Solve a system of linear equations in three variables.
Module 5: Rational Expressions and Equations
5.1 Rational Expressions
- 1.Evaluate rational expressions.
- 2.Identify values that make a rational expression undefined.
- 3.Simplify rational expressions.
- 4.Multiply or divide rational expressions.
- 5.Add or subtract rational expressions.
5.2 Complex Fractions
- 1.Simplify complex fractions without variables.
- 2.Simplify complex fractions with variables.
5.3 Rational Equations
- 1.Solve rational equations.
- 2.Solve applications that involve rational equations (motion, mixture, proportion, geometric)
- 3.Solve problems that involve variation.
Module 6: Radical Expressions and Equations
- 1.Find square roots.
- 2.Approximate square roots.
- 3.Find cube roots.
- 4.Find nth roots.
6.2 Radical Expressions
- 1.Simplify radical expressions.
- 2.Multiply or divide radicals.
- 3.Add or subtract radicals.
- 4.Multiply radical expressions.
- 5.Rationalize denominators with one term.
- 6.Rationalize denominators with two terms.
6.3 Rational Exponents
- 1.Write expressions containing rational exponents in radical form.
- 2.Simplify expressions containing rational exponents.
- 3.Use rational exponents to simplify radical expressions.
6.4 Radical Equations
- 1.Solve radical equations.
- 2.Solve radical equations that contain rational exponents.
- 3.Use the distance formula to find the distance between two points in a coordinate plane.
- 4.Solve applications that involve radical equations.
Module 7: Quadratic Equations
7.1 Quadratic Equations
- 1.Solve quadratic equations by factoring.
- 2.Solve quadratic equations by the square root property.
- 3.Solve quadratic equations by completing the square.
- 4.Solve quadratic equations by using the quadratic formula
- 5.Use the discriminant to describe the solutions of a quadratic equation.
- 6.Solve applications that involve quadratic equations and models (including the Pythagorean theorem).
7.2 Graphs of Quadratic Equations
- 1.Graph quadratic equations.
- 2.Find the vertex of a parabola.
- 3.Graph horizontal parabolas.
Module 8: Absolute Value Equations and Inequalities
8.1 Absolute Value Equations
- 1.Solve absolute value equations.
8.2 Absolute Value Inequalities
- 1.Solve absolute value inequalities.
- 2.Identify absolute value inequalities that are contradictions or identities.
Module 9: Introduction to Functions
9.1 Relations and Functions
- 1.Identify relations and functions.
- 2.Evaluate functions using function notation.
- 3.Find the domain and range of a function.
- 4.Use the vertical line test to determine if a graph is a function.
9.2 Linear Functions
- 1.Identify linear functions.
- 2.Evaluate linear functions.
- 3.Interpret the graph of a linear function (domain, range, slope, intercepts).
- 4.Solve applications that involve linear functions as models.
Published by Pearson (May 18th 2019) - Copyright © 2020