Algebra I: Math 60
Algebra for College Students (Custom Edition for LCC)
Robert Blitzer
Chapter 1: Variable, Real Numbers and Mathematical Models
1.1 Introduction to Algebra: Variables and Mathematical Models
Evaluate algebraic expressions
Introduction to Algebra: Variables and Mathematical Models PDF Review
Translate English phrases into algebraic expressions
Introduction to Algebra: Variables and Mathematical Models YouTube Video
Determine whether a number is a solution of an equation
Introduction to Algebra: Variables and Mathematical Models by Khan Academy
Translate English sentences into algebraic equations
Evaluate formulas
1.2 Fractions in Algebra
Convert between mixed numbers and improper fractions
Converting Mixed Numbers to Improper Fractions
Converting Improper Fractions to Mixed Numbers
Write the prime factorization of a composite number
Reduce or simplify fractions
Multiply fractions
Multiplying Fractions and Mixed Numbers
Multiplying Fractions Word Problem
Divide fractions
Dividing Mixed Numbers and Fractions
Dividing Fractions Word Problem
Add and subtract fractions with identical denominators
Adding Fractions with Like Denominators
Add and subtract fractions with unlike denominators
Adding Mixed Numbers with Unlike Denominators
Solve problems involving fractions in algebra
Subtracting Mixed Numbers Word Problem
1.3 The Real Numbers
Define the sets that make up the real numbers
Graph numbers on a number line
Classify numbers as belonging to one or more sets of the real numbers
Find the absolute value of a real number
1.4 Basic Rules of Algebra
Use commutative properties
Commutative Property for Addition
Commutative Law of Multiplication
Use associative properties
Associative Law of Multiplication
Use distributive properties
1.5 Addition of Real Numbers AND 1.6 Subtraction of Real Numbers
Add numbers with a number line
How to add numbers using a number line
Find sums using identity and inverse properties
Identity and inverse properties
Add numbers without a number line
Adding Positive and Negative Numbers
Use addition rules to simplify algebraic expressions
Addition and Subtraction of Algebraic Expressions
Subtract real numbers
Use the definition of subtraction to identify terms
1.7 Multiplication and Division of Real Numbers
Multiply real numbers
Multiply more than two real numbers
Multiplying negative real numbers
Find multiplicative inverses
Inverse Property of Multiplication
Use the definition of division
Divide real numbers
Dividing real numbers with different signs
Simplify algebraic expressions involving multiplication
1.8 Exponents and Order of Operations
Evaluate exponential expressions
Evaluate exponential expressions
Simplify algebraic expressions with exponents
Simplify algebraic expressions with exponents
Use the order of operations agreement
Chapter 2: Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
Identify linear equations in one variable
Use the addition property of equality to solve equations
The Addition and Subtraction Properties of Equality Tutorial
Solve applied problems using formulas
2.2 The Multiplication Property of Equality
Use the multiplication property of equality to solve equations
The Muliplication Property of Equality Tutorial
Use the addition and multiplication properties to solve equations
2.3 Solving Linear Equations
Solve linear equations
Solve linear equations containing fractions
2.4 Formulas and Percents
Solve a formula for a variable
Express a percent as a decimal
Converting percents to decimals
Express a decimal as a percent
Converting decimals to percents 1
Converting decimals to percents 2
Use the percent formula
Solve applied problems involving percent change
2.5 An Introduction to Problem Solving
Translate English phrases into algebraic expressions
Introduction to Algebra: Variables and Mathematical Models PDF Review
Introduction to Algebra: Variables and Mathematical Models YouTube Video
Introduction to Algebra: Variables and Mathematical Models by Khan Academy
Solve algebraic word problems using linear equations
2.6 Problem Solving in Geometry
Solve problems using formulas for a circle's area and circumference
Radius, Diameter, and Circumference of a Circle
Solve problems using formulas for volume
Volume and Surface Area of a Cylinder
Solve problems involving the angles of a triangle
Solve problems involving complementary and supplementary angles
2.7 Solving Linear Inequalities
Graph the solutions of an inequality on a number line
Use interval notation
Interval notation to express inequalities
Understand properties used to solve linear inequalities
Solve linear inequalities
Identify inequalities with no solution or infinitely many solutions
All real numbers or no solution-inequalities
Solve problems using linear inequalities
Chapter 3: Linear Equations in Two Variables
3.1 Graphing Linear Equations in Two Variables
Plot ordered pairs in the rectangular coordinate system
Find coordinates of points in the rectangular coordinate system
Quadrants of the Coordinate Plane
Determine whether an ordered pair is a solution of an equation
Ordered Pair Solutions of Equations
Find solutions of an equation in two variables
Evaluating Expressions with Two Variables
Use graphs of linear equations to solve problems
Application Problem with Graph
3.2 Graphing Linear Equations Using Intercepts
Use a graph to identify intercepts
Graph a linear equation in two variables using intercepts
Graphing Using x- and y-Intercepts
Graph horizontal or vertical lines
Graphing horizontal and vertical lines
3.3 Slope
Compute a line's slope
Use slope to show that lines are perpendicular
Calculate rate of change in applied situations
3.4 The Slope Intercept Form of the Equation of a Line
Graph lines in slope-intercept form
Graphing a Line in Slope Intercept Form
Use slope and y-intercept to graph Ax+By=C.
3.5 The Point-Slope Form of the Equation of a Line
Use the point-slope form to write equations of a line
Equation of a line: Point-Slope Form
Find slopes and equations of parallel and perpendicular lines
Equations of Parallel and Perpendicular Lines
Write linear equations that model data and make predictions