MAT112 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 the Properties of Addition Simplify a variable expression using the Properties of Multiplication Simplify a variable expression using the Distributive Property Translate a verbal expression into a variable expression
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 of the form ax + b = c Solve an equation of the form ax + b = cx + d Solve an equation containing parentheses Solve application problems using formulas
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
(Omit)
Section 2.5 Objective A Objective B Objective C
First-Degree Inequalities Solve an inequality in one variable 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 of Lines Find the equation of a line given a point and the slope Find the equation of a line given two points Solve application problems
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 Objective A Objective B
Solving Systems of Linear Equations Solve a system of linear equations by graphing Solve a system of linear equations by the substitution method
Section 5.2 Objective A
Solving Systems of Linear Equations by the Addition Method Solve a system of two linear equations in two variables by the addition method
Section 5.3 Objective A
Application Problems Solve application problems
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
Division of Polynomials Divide a polynomial by a monomial