Workbook to Accompany Corequisite Support Modules for Quantitative Reasoning or Liberal Arts Math, 1st edition
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013575383X / 9780135753835 MYLAB MATH -- 18 WEEK INSTANT ACCESS -- FOR COREQUISITE SUPPORT MODULES FOR QUANTITATIVE REASONING OR LIBERAL ARTS MATH, 1/e
Table of contents
Module 1: Number Arithmetic
- Simplify fractions.
- Plot fractions on a number line.
- Add or subtract like fractions.
- Find the least common denominator of a list of fractions.
- Write equivalent fractions
- Compare fractions.
- Add or subtract unlike fractions.
- Multiply or divide fractions.
- Evaluate exponential expressions with fractional bases.
- Use the order of operations on fractions.
- Solve applications involving fractions.
- Identify place values of decimals.
- Compare decimals.
- Add or subtract decimals.
- Multiply or divide decimals.
- Evaluate exponential expressions with decimal bases.
- Use the order of operations on decimals.
- Round decimals.
- Solve problems involving estimation with decimals.
- Convert decimals to fractions.
- Convert fractions to decimals.
- Solve applications involving decimals.
- Interpret the meaning of percent.
- Write fractions as percents.
- Write percents as fractions in simplest form.
- Write decimals as percents.
- Write percents as decimals.
6. Convert among fractions, decimals, and percents.
7. Perform calculations involving percents.
8. Compute percent change.
9. Solve applications involving percents.
1.4 Ratios and Rates
- Write ratios in different notations, including fractions.
- Simplify ratios.
- Determine unit rates.
- Determine the better buy.
- Solve proportions.
- Solve applications involving proportions.
- Identify U.S. units of length, weight, and capacity.
- Perform unit conversions among U.S. units (including mixed units).
- Identify metric units of length, mass, and capacity.
- Perform unit conversions among metric units.
- Convert between U.S. and metric units.
- Solve applications involving units of measurement.
1.7 Real Numbers
- Classify sets of numbers.
- Find square roots.
- Approximate square roots.
- Use the properties of real numbers.
- Use the order of operations with real
6. Solve applications involving real numbers.
Module 2: Linear Equations and Inequalities; Formulas
2.1 Algebraic Expressions
- Evaluate algebraic expressions.
- Combine like terms.
- Simplify algebraic expressions.
- Translate English phrases into algebraic expressions.
2.2 Linear Equations in One Variable
- Distinguish between expressions and equations.
- Solve linear equations in one variable using the addition property of equality.
- Solve linear equations in one variable using the multiplication property of equality.
- Solve linear equations in one variable using both properties of equality.
- Translate sentences into equations.
- Solve applications involving linear equations in one variable.
2.3 Linear Inequalities in One Variable
- Write inequality statements using real numbers and inequality symbols.
- Graph linear inequalities in one variable on a number line.
- Write solutions to inequalities in set-builder notation.
- Write solutions to inequalities in interval notation.
- Solve linear inequalities in one variable.
- Translate sentences into linear inequalities in one variable.
- Solve applications involving linear inequalities in one variable.
- Solve a formula for a specific variable.
- Find the perimeter of a figure.
- Find the circumference of a circle.
- Find the area of a figure.
- Find the volume of a figure.
- Solve applications involving distance, rate, and time.
Module 3: Graphing Linear Equations in Two Variables
3.1 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.
- Find the intercepts of a line.
- Graph a linear equation in two variables given its intercepts.
- Find the slope of a line given two points on the line.
- Find the slope of a line given its graph.
- Graph a line given its equation in slope-intercept form.
- Graph a line given one point on the line and the slope.
- Graph vertical lines.
- Graph horizontal lines.
- Use slope with parallel and perpendicular lines.
- Interpret slope as a rate of change.
3.4 Equations of Lines
- Find the slope of a line given its equation.
- Write the slope-intercept form of a line.
- Write the equation of a line given the slope and a point on the line.
- Write the equation of a line through two given points.
Module 4: Exponents, Polynomials, and Quadratic Models
4.1 Exponential Expressions and Rules for Exponents
- Evaluate exponential expressions with positive exponents.
- Use the product rule for exponents.
- Use the power rules for exponents.
- Use the quotient rule for exponents.
- Evaluate exponential expressions with integer exponents.
- Simplify exponential expressions using the rules for exponents.
4.2 Scientific Notation
- Convert between scientific and standard notation.
- Perform calculations involving scientific notation.
- Solve applications involving scientific notation.
4.3 Polynomial Expressions
- Identify parts of a polynomial (coefficient, term, degree, factor, constant).
- Classify polynomials.
- Evaluate polynomial expressions.
- Add polynomials.
- Subtract polynomials.
- Multiply monomials.
- Multiply a monomial and a polynomial.
- Multiply polynomials.
- Multiply the sum and difference of two terms.
- Square binomials.
- Factor out the GCF of a polynomial.
- Factor trinomials with a leading coefficient of 1.
- Factor trinomials with a leading coefficient other than 1.
- Factor polynomials by grouping.
- Factor a difference of squares.
- Factor the sum or difference of two cubes.
- Factor polynomials completely.
4.5 Quadratic Equations and Models
- Solve quadratic equations by factoring.
- Solve quadratic equations by the square root property.
- Solve quadratic equations by completing the square.
- Solve quadratic equations by using the quadratic formula.
5. Distinguish between linear and quadratic models in real world situations.
6. Solve applications involving quadratic equations and models.
Module 5: Financial Math
5.1 Percent Applications: Sales Tax, Commission, Discount
- Calculate sales tax, total price, and sale price.
- Calculate commission.
- Calculate tips.
- Calculate original price, discount, total cost, tax, and markup.
5.2 Simple Interest
- Compute simple interest.
- Find principal, interest rate, or time in the simple interest formula.
- Solve applications involving simple interest.
5.3 Compound Interest
- Compute compound interest.
- Find principal, interest rate, or time in the compound interest formula.
- Solve applications involving compound interest.
Module 6: Introduction to Functions
6.1 Relations and Functions
- Identify relations and functions.
- Evaluate functions using function notation.
- Find the domain and range of a function.
- Use the vertical line test to determine if a graph is a function.
6.2 Linear Functions
- Identify linear functions.
- Evaluate linear functions.
- Interpret the graph of a linear function (domain, range, slope, intercepts).
- Solve applications that involve linear functions as models.
Module 7: Introduction to Statistics
7.1 Data Displays
1. Interpret and draw line graphs.
2. Interpret and draw bar graphs.
3. Construct frequency distributions and relative frequency distributions for a data set.
4. Interpret and draw histograms.
5. Interpret and draw circle graphs.
6. Interpret and build scatterplots.
7.2 Measures of Center
- Find the mean of a data set.
- Find the weighted mean.
- Find the median of a data set.
- Find the mode of a data set.
- Find the range and midrange of a data set.
Module 8: Introduction to Probability
8.1 Counting Techniques
- Evaluate factorial expressions.
- Use counting techniques.
8.2 Introduction to Probability
- Identify sample spaces, outcomes, and events.
- Find the probability of an event.
- Use tree diagrams to find sample spaces and compute probabilities.
Module 9: Sets and Logic
- Define terminology associated with sets.
- Describe the members of a set using various notations.
- Find subsets of a set.
- Find equivalent sets.
- Find the union of two sets.
- Find the intersection of two sets.
- Find the complement of a set.
9.2 Reasoning, Arguments, and Statements
- Distinguish between inductive and deductive reasoning.
- Distinguish between valid and invalid arguments.
3. Identify types of statements.
Published by Pearson (July 22nd 2019) - Copyright © 2020