MAT112 Objectives

MAT 112 Course Objectives Chapter 1

Real Numbers and Variable Expressions

Section 1.1 Objective A Objective B Objective C Objective D Objective E

Integers Use inequality symbols with integers Find the additive inverse and absolute value of a number Add or subtract integers Multiply or divide integers Solve application problems

Section 1.2 Objective A Objective B Objective C Objective D Objective E Objective F Objective G

Rational and Irrational Numbers Write a rational number as a decimal Convert among percents, fractions, and decimals Add or subtract rational numbers Multiply or divide rational numbers Evaluate exponential expressions Simplify numerical radical expressions Solve application problems

Section 1.3 Objective A

The Order of Operations Agreement To use the Order of Operations Agreement to simplify expressions

Section 1.4 Objective A Objective B Objective C Objective D Objective E

Variable Expressions Evaluate a variable expression Simplify a variable expression using Simplify a variable expression using Simplify a variable expression using Translate a verbal expression into a

Section 1.5 Objective A Objective B Objective C

Sets Write a set using the roster method Write a set using set-builder notation Graph an inequality on the number line

Chapter 2

First-Degree Equations and Inequalities

Section 2.1 Objective A Objective B Objective C Objective D Objective E

Introduction to Equations Determine whether a given number is a solution of an equation Solve an equation of the form x + a = b Solve an equation of the form ax = b Solve application problems using the basic percent equation Solve uniform motion problems

Section 2.2 Objective A Objective B Objective C Objective D

General Equations Solve an equation Solve an equation Solve an equation Solve application

Section 2.3 Objective A Objective B

Translating Sentences into Equations Solve integer problems Translate a sentence into an equation and solve

Section 2.4 Objective A Objective B Objective C

Mixture and Uniform Motion Problems Solve value mixture problems Solve percent mixture problems Solve uniform motion problems

Section 2.5 Objective A

First-Degree Inequalities Solve an inequality in one variable

the Properties of Addition the Properties of Multiplication the Distributive Property variable expression

of the form ax + b = c of the form ax + b = cx + d containing parentheses problems using formulas

Objective B Objective C

Solve a compound inequality Solve application problems

Section 2.6 Objective A Objective B Objective C

Absolute Value Equations and Inequalities Solve an absolute value equation Solve an absolute value inequality Solve application problems

Chapter 3

Geometry

Section 3.1 Objective A Objective B Objective C

Introduction to Geometry Solve problems involving lines and angles Solve problems involving angles formed by intersecting lines Solve problems involving the angles of a triangle

Section 3.2 Objective A Objective B

Plane Geometric Figures Solve problems involving the perimeter of a geometric figure Solve problems involving the area of a geometric figure

Section 3.3 Objective A Objective B

Solids Solve problems involving the volume of a solid Solve problems involving the surface area of a solid

Chapter 4

Linear Functions and Inequalities in Two Variables

Section 4.1 Objective A Objective B Objective C

The Rectangular Coordinate System Graph points in a rectangular coordinate system Determine ordered-pair solutions of an equation in two variables Graph a scatter diagram

Section 4.2 Objective A

Introduction to Functions Evaluate a function

Section 4.3 Objective A Objective B Objective C Objective D

Linear Functions Graph a linear function Graph an equation of the form Ax + By = C Find the x- and y-intercepts of a straight line Solve application problems

Section 4.4 Objective A Objective B

Slope of a Straight Line Find the slope of a line given two points Graph a line given a point and the slope

Section 4.5 Objective A Objective B Objective C

Finding Equations Find the equation Find the equation Solve application

Section 4.6 Objective A

Parallel and Perpendicular Lines Find parallel and perpendicular lines

Section 4.7 Objective A

Inequalities in Two Variables Graph the solution set of an inequality in two variables

Chapter 5

Systems of Linear Equations and Inequalities

Section 5.1

Solving Systems of Linear Equations by Graphing and by the Substitution Method Solve a system of linear equations by graphing Solve a system of linear equations by the substitution method Solve investment problems

Objective A Objective B Objective C

of Lines of a line given a point and the slope of a line given two points problems

Section 5.2 Solving Systems of Linear Equations by the Addition Method Objective A Solve a system of two linear equations in two variables by the addition method Objective B Solve a system of three linear equations in three variables by the addition method (opitional) Section 5.3 Objective A

Application Problems Solve application problems

Section 5.4 Objective A

Solving Systems of Linear Inequalities Graph the solution set of a system of linear inequalities

Chapter 6

Polynomials

Section 6.1 Objective A Objective B Objective C Objective D

Exponential Expressions Multiply monomials Divide monomials and simplify expressions with negative exponents Write a number using scientific notation Solve application problems

Section 6.2 Objective A Objective B

Introduction to Polynomial Functions Evaluate polynomial functions Add or subtract polynomials

Section 6.3 Objective A Objective B Objective C Objective D

Multiplication of Polynomials Multiply a polynomial by a monomial Multiply two polynomials Multiply polynomials that have special products Solve application problems

Section 6.4 Objective A Objective B

Division of Polynomials Divide a polynomial by a monomial Divide polynomials (Optional)