Intermediate Algebra Test Prep Problems

275 worked math help tutor video examples on Intermediate Algebra examples, well organized by chapter, from textbook: Angel & Runde's "Intermediate Algebra"

This video series is entitled, "Intermediate Algebra Test Prep Problems," which provides 275 worked math help tutor video examples on Intermediate Algebra examples, well organized by chapter, from textbook: Angel & Runde's "Intermediate Algebra". The series presents 275 individual examples organized over 11 chapters and span the subject of Algebra 2. These videos have a total playtime duration of 7 hrs 12 min 27 sec. These videos were based in part on the book entitled, "Intermediate Algebra," written by Angel & Runde.

These worked examples come from the textbook entitled, "Intermediate Algebra," by Allen Angel & Dennis Runde. The particular examples come from the book's chapter test prep sections. These tutor videos address all major topics of the textbook in the proper order. Although these video exorcises were designed specifically for this textbook, they apply equally well to any algebra textbook. This is a fantastic resource for anyone studying algebra or seeking a well organized, systematic and all encompasing quick review, using any Algebra textbook. Note that each video clip is very short about 1 minute and covers one example each. All together, this video series includes 275 worked examples and is about 6.5 hours long. If you don't find the particular math problem you're looking for, try other video sets here. Remember my advice?

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 1: Basic Concepts

E Example titles for Ch 1: Basic Concepts Time Note 1 Sets, Natural numbers, and Set Notation. 0:28 1.1 Study Skills for Success in Mathematics, and Using a Calculator 2 Sets, Rational Numbers, and Real Numbers. 0:14 1.2 Sets and Other Basic Concepts 3 Sets, Rational Numbers, and Real Numbers. 0:15 4 Sets, Real Numbers, and Elements of a Set. 0:30 5 Sets, Real Numbers, and Elements of a Set. 0:25 6 Union of Sets and Intersection of Sets. 0:38 7 Union of Sets and Intersection of Sets. 0:32 1.3 Properties of and Operations with Real Numbers 8 Graphing, open set or closed set. 0:32 9 Graphing, open sets and closed sets. 0:38 10 Order of Magnitude. 0:25 11 Associative Property of Addition. 0:20 12 Commutative Property of Addition. 0:18 13 Order of operations. 1:13 1.4 Order of Operations 14 Simplify and Evaluate Rational Expressions. 0:42 15 Simplify and evaluate rational expressions. 1:15 16 Simplify and evaluate rational expressions. 1:13 17 Evaluating an expression. 0:36 18 Word problems, story problems, and formulas. 1:57 19 Simplify and evaluate exponential expressions. 0:15 1.5 Exponents 20 Simplifying and evaluating compound exponents. 0:40 21 Simplifying and evaluating a rational expressions with exponents. 1:24 22 Simplifying and evaluating a rational expressions with compound exponents 1:43 23 Scientific Notation. 0:34 1.6 Scientific Notation 24 Simplify and express without exponents. 0:49 25 fraction of a population, percentage and scientific notation. 4:01 Total Time of videos in this Chapter = 21:37

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 2: Equations and Inequalities

E Example titles for Ch 2: Equations and Inequalities Time Note 1 Degree of an expression and Graphs & functions. 0:26 sum of exponents across variables 2 Order of operations and Simplify expressions. 0:46 2.1 Solving Linear Equations 3 Order of operations and simplify expressions. 1:47 4 Solving linear equations. 1:07 5 Solving linear equations and least common denominator (LCD). 1:17 6 Solving linear equations, order of operations, brackets, parentheses. 2:35 7 Solving linear equations, infinite, finite, one, or no solutions. 1:12 8 Solving linear equations. Identities? Always True? 1:18 9 Evaluating formulas. 2:03 2.2 Problem Solving and Using Formulas 10 Solving multiple variable equations. 1:23 11 Solving formulas. 1:12 12 Word problems and story problems. 1:02 2.3 Applications of Algebra 13 Solving word problems and story problems. 1:14 14 Solving multiple rate problems, word problems, and story problems. 1:32 15 Solving mixing solutions problems, word problems, story problems. 2:08 2.4 Additional Application Problems 16 Simple interest, multiple rate problem, word problem, story problem, applications. 2:52 17 Graphing linear inequalities. 1:13 2.5 Solving Linear Inequalities 18 Solving inequality for a variable 1:11 19 Systems of inequalities. Set builder notation or interval notation. 1:33 20 Solving inequalities and interval notation. 1:27 21 Solving absolute value equations. 0:52 2.6 Solving Equations and Inequalities Containing Absolute Values 22 Solving double absolute value equations and solution sets. 2:08 23 Solving absolute value equations. 0:28 24 Solving absolute value inequalities. 1:13 25 Solving an absolute value inequality. 1:34 Total Time of videos in this Chapter = 35:33

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 3: Graphs and Functions

E Example titles for Ch 3: Graphs and Functions Time Note 1 Graphing equations of a straight line in 2 variables. 1:16 3.1 Graphs 2 Graphing equations with table of sample values. 0:56 3 Graphing nonlinear equations. 1:23 4 Graphing absolute value equations with a table of test values. 0:58 5 What is a function? 0:42 3.2 Functions 6 Sets of ordered pairs and testing if a function. 0:34 7 Vertical Line Test, graphs representing functions. Domain & range of a function. 0:43 3.3 Linear Functions: Graphs and Applications 8 Vertical line test and domain & range of a function. 0:57 9 Evaluating functions given a test value. 0:50 10 Graphing equations using x and y intercepts. 0:58 11 Graphing equations using y and x intercepts. 1:02 12 Graphing functions of a line parallel to an axis. 0:36 13 Graphing functions of a line parallel to an axis. 0:34 14 Graphing profit as function of units sold and the break even point. 1:18 15 Slope and y-intercept of a given equation. 0:57 3.4 The Slope-Intercept Form of a Linear Equation 16 Equation of a line through given points and calculating slope. 1:28 3.5 The Point-Slope Form of a Linear Equation 17 Equation of a line through a given point and perpendicular to a given line. 1:07 18 Reading ordered pairs from a graph. Satisfying given points. word problems. 2:20 19 Given lines parallel, perpendicular or neither. 1:16 20 Reading ordered pairs from a graph. Making an estimate. story problem. 3:17 21 Combining functions. 0:49 3.6 The Algebra of Functions 22 Evaluating combined functions. 1:04 23 Evaluating given functions. 0:18 24 Solving word problems and story problems. 1:10 25 Graphing linear inequalities. 1:29 3.7 Graphing Linear Inequalities Total Time of videos in this Chapter = 28:02

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 4: Systems of Equations and Inequalities

E Example titles for Ch 4: Systems of Equations and Inequalities Time Note 1 Consistent systems, dependent systems, and inconsistent systems of equations. 0:49 solution exists, infinite number of solutions, no solutions 2 Do equations have a solution, no solution or an infinite number of solutions. 1:21 4.1 Solving Systems of Linear Equations in Two Variables 3 Systems of equations are consistent, dependent, or inconsistent. 1:20 4 Systems of equations are consistent, dependent, or inconsistent. 1:35 5 Solving systems of equations by graphed intercepts. 1:01 6 Solving systems of equations graphically with intercepts. 1:01 7 Solving linear systems of equations by substitution 1:03 8 Solving systems of linear equations by substitution. 1:30 9 Solving linear systems of equations by addition. 1:29 10 Solving systems of linear equations by addition. 1:42 11 Solving linear systems of 2 equations by addition. 2:35 12 Solving systems of 3 linear equations by addition. 3:12 4.2 Solving Systems of Linear Equations in Three Variables 13 Augmented matricies. 0:24 4.4 Solving Systems of Equations Using Matrices 14 Row reduction on a augmented matrix. Matrix row operations. 1:02 15 Writing and reducing an augmented matrix and equivalent equations. 3:27 16 Write and reducing an augmented matrix and extract equivalent equations. 8:20 17 Calculating a 2x2 determinate 0:18 18 Evaluating a 3x3 determinate. 1:37 19 Solving systems of equations using determinates and Cramer's Rule. 1:53 4.5 Solving Systems of Equations Using Determinants and Cramer's Rule 20 Solving systems of linear equations with Cramer's Rule. 9:10 21 Solving mixture problems, mixing problems, application problem. 3:22 4.3 Systems of Linear Equations: Applications and Problem Solving 22 Solving mixture problems. application problem 3:53 23 Find numbers satisfying given relationships. word problems. 2:34 24 Find a solution set to a system of inequalities by graphing. 2:05 4.6 Solving Systems of Linear Inequalities 25 Find a solution set by graphing a system of absolute value inequalities. 2:52 IMPORTANT EXAMPLE Total Time of videos in this Chapter = 59:35

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 5: Polynomials and Polynomial Functions

E Example titles for Ch 5: Polynomials and Polynomial Functions Time Note 1 Trinomials, ordering trinomials, and degree of a polynomial? 0:51 2 Subtract polynomials. 0:59 5.1 Addition and Subtraction of Polynomials 3 Multipling polynomials and the distributive property. 0:40 5.2 Multiplication of Polynomials 4 Multiply binomials using FOIL method. 0:43 5 Vertical multiplication of polynomials. 1:20 6 Divide a polynomial by a monomial. 1:14 5.3 Division of Polynomials and Synthetic Division 7 Long division of polynomials. 1:44 8 Synthetic division of polynomials. 1:26 9 Remainder Theorem for polynomials. 1:22 10 Factoring trinomials and the greatest common factor, GCF. 1:01 5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping 11 Greatest common factor. Factoring by trial and error. 0:52 12 Factor a 4 term polynomial by grouping. 0:54 13 Factor a trinomial using substitution 1:21 5.5 Factoring Trinomials 14 Factor by substitution. 1:03 5.6 Special Factoring Formulas 15 Factor using substitution. 1:03 16 Factoring by difference of cubes. 1:12 5.7 A General Review of Factoring 17 Product of functions 1:31 5.8 Polynomial Equations 18 Simplifying a factored expression, geometry. 1:27 19 Simplify a factored expression, word problem, geometry. 1:37 20 Factor given trinomial by trial and error. 1:05 21 Factor a trinomial. 0:54 22 Factoring to find x-intercepts. 1:35 23 Find an equation with given x-intercepts. Reverse of factoring, FOIL. 0:55 24 Story problem, geometry, triangle, area 2:53 25 Solve for x-intercepts, story problem, projectile problem. 2:05 Total Time of videos in this Chapter = 31:47

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 6: Rational Expressions and Equations

E Example titles for Ch 6: Rational Expressions and Equations Time Note 1 Domains of rational expressions. 1:00 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions 2 Determining the domain, by zeros in the denominator. 1:20 3 Simplify by factoring. 1:18 4 Simplify a given expression by factoring. 0:44 5 Fractions with exponential expressions. 1:30 6.2 Addition and Subtraction of Rational Expressions 6 Factoring and multiplying rational expressions. 0:59 7 Dividing rational expressions. 1:34 8 Dividing, simplifying and factoring rational expressions. 1:19 9 Adding rational expressions using the least common denominator. 1:14 6.3 Complex Fractions 10 Least common denominator LCD for two expressions. 2:39 11 Adding rational expressions using the least common denominator LCD. 3:25 12 Adding rational expressions with the least common denominator LCD. 2:35 13 Simplify division of rational expressions by factoring. 1:35 14 Adding functions using the least common denominator LCD. 3:14 6.4 Solving Rational Equations 15 Dividing complicated rational expressions. 1:51 16 Addition, subtraction, and division of rational expressions. 1:05 17 Simplify a complex fraction. 1:23 complex imply complex numbers and imaginary numbers 18 Complex fractions in rational expressions. 0:45 19 Subtracting to solve a linear equation. 0:42 20 Adding to solve quadratic equation by factoring. 2:41 21 Solving a multivariable formula for a particular variable 1:16 6.5 Rational Equations: Applications and Problem Solving 22 Solving proportion problems of directly related values. 2:19 6.6 Proportional Variation 23 Solving proportion problems of inversely related proportions 2:09 24 Solving multiple rate problems for time 1:48 25 Solving multiple rate problems for distance. 1:55 Total Time of videos in this Chapter = 42:20

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 7: Roots, Radicals, and Complex Numbers

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 8: Quadratic Functions

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 9: Exponential and Logarithmic Functions

E Example titles for Ch 9: Exponential and Logarithmic Functions Time Note 1 Determine if a set of ordered pairs are one-to-one and find the inverse of a function. 0:44 9.1 Composite and Inverse Functions 2 Find a function of a function. 1:34 3 Find a function of another function. 1:35 4 Find and graph the inverse function. Find the axis of symmetry between a function and it's inverse. 2:57 5 Find and graph the inverse of a function, determine domain and axis of symmetry. 2:19 6 Find a domain of a logarithmic function. 0:26 9.2 Exponential Functions 7 Re-write and evaluate a logarithmic expression as an exponential expression. Solve for the variable. 1:00 9.3 Logarithmic Functions 8 Graph an exponential function with a t-chart, test chart or sample points. 1:17 9 Re-write a logarithmic function as an exponential and graph. Determine domain. 1:26 10 Re-write an exponential equation in logarithmic form. 0:22 9.4 Properties of Logarithms 11 Re-write a logarithmic equation in exponential form. 0:16 12 Re-write a logarithmic equation with a binomial or polynomial into exponential form. 0:25 13 Solve a logarithmic equation. 0:47 14 Expand a logarithmic expression based on factors and terms. 1:10 9.5 Common Logarithms 15 Combine logarithmic terms using the exponent, product, and quotient rule. 1:29 16 Re-write and evaluate logarithmic expressions by setting equal to variable. 1:01 17 Use a calculator to evaluate a logarithmic expressions. 0:36 18 Solve an exponential equation using the natural logarithm. 0:52 9.6 Exponential and Logarithmic Equations 19 Solve logarithmic equations with multiple logarithmic terms. 0:51 20 Solve a logarithmic equation with multiple logarithmic terms. 1:18 21 Solve a natural logarithmic equation. 0:37 9.7 Natural Exponential and Natural Logarithmic Functions 22 Evaluate logarithmic expressions with a given base. 0:38 23 Solving exponential equations with the natural logarithms. 1:36 24 Solving a story problem with exponents. 0:58 25 Solving story problems with the natural logarithm. 2:05 Total Time of videos in this Chapter = 28:19

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 10: Conic Sections

E Example titles for Ch 10: Conic Sections Time Note 1 Making conic sections. 0:13 10.1 The Parabola and the Circle 2 Finding length of line segments with the Distance Formula. 1:17 3 Finding midpoints using the Midpoint Formula. 0:59 4 Graphing parabolas, finding verticies, and intercepts. 2:03 5 Graphing parabolas, finding verticies, opening, intercepts, and test values. 2:52 6 Re-write non-standard form equations into standard form parabola. 3:14 7 Graphing circles with standard form formula, center coordinates & radius 1:14 10.2 The Ellipse 8 Find area of circles given the equation of a circle in standard form. 0:42 9 Write equations for a circle given center coordinates and radius in standard form. 1:00 10 Graphing the bottom half of a circle in a radical equation. 0:51 11 Graphing non-standard form and standard form equations of a circle. 2:06 12 Obtaining intercepts and graphing an ellipse in non-standard form and standard form. 1:32 13 Determine if a graph of an ellipse matches given equation of an ellipse. 0:49 14 Determine if a given equation represents an ellipse. Graphing an ellipse. 1:30 15 Re-write non-standard form equation of an ellipse into standard form, find center. 1:12 16 Determine direction and location of the transverse axis for a given hyperbola. 0:24 10.3 The Hyperbola 17 Find the asymptotes of a hyperbola equation in standard form. 0:45 18 Graph a hyperbola, find the axis of symmetry, intercepts and asymptotes. 2:16 19 Determine how a hyperbola opens, asymptotes and graph a hyperbola. 2:05 20 Write equation in standard form, identify conic sections 0:53 21 Re-write an equation in standard form, determine which conic section it represents. 0:33 22 Solve for where equations intersect. 3:10 10.4 Nonlinear Systems of Equations and Their Applications 23 Solve for where two equations intersect. Determine if a real solution. 2:53 24 Solve a word problem to find dimensions of a rectangle given the perimeter. 5:49 25 Find dimensions of a rectangle given, re-write polynomial of degree 4 into quadratic form 7:37 Total Time of videos in this Chapter = 47:59

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Algebra 2: Intermediate Algebra Test Prep ProblemsChapter 11: Sequences, Series, and the Binomial Theorem

E Example titles for Ch 11: Sequences, Series, and the Binomial Theorem Time Note 1 What is a series? What is a sequence? 0:13 11.1 Sequences and Series 2 What is an Arithmetic Sequence? What is a Geometric Sequence? 0:15 3 Determine the first 5 terms in a sequence given a formula? 1:34 4 Determine a partial sum of a sequence given a formula? 2:15 5 Find the first five terms in a sequence given a formula? 1:34 6 Evaluate the summation of a sequence given term values of the sequence? 0:57 7 Find a general equation describing a sequence given the first few terms? 1:20 8 Determine the kind of sequence. Find equation for a geometric sequence. 0:56 9 Given equation describing a sequence, determine the first 4 terms. 1:41 10 Determine if sequence is geometric or arithmetic? Evaluate first four terms. 2:11 11.2 Arithmetic Sequences and Series 11 Evaluate a particular term of a sequence given the equation describing terms. 0:53 12 Find particular partial sum given sequence formula & 2 non-sequential terms. 0:49 13 Find the type of a sequence, the general formula, and how many terms are in it. 1:55 14 Evaluate the value of a term in a geometric sequence given the general formula. 1:03 11.3 Geometric Sequences and Series 15 Find a particular partial sum given an equation for a geometric sequence. 1:55 16 Given values, find common ratio or constant multiple, for a geometric sequence. 1:00 17 Find the sum of an infinite geometric sequence. 1:27 18 Determine if an infinite geometric series and it's sum formula? 1:58 19 Determine a binomial coefficient? What is the Binomial Formula? 1:48 11.4 The Binomial Theorem 20 Multiply binomials with large exponents using the Binomial Theorem 2:47 21 Find the Arithmetic Mean. What is the Arithmetic Mean Formula? 1:11 22 Use an arithmetic sequence to solve a word problem? 1:28 23 Use arithmetic sequence to solve a word problem with constant repetitive change 1:38 24 Solve a word problem with a constant percent change using a geometric sequence. 1:37 25 Use a geometric sequence to estimate growth by both constant multiples and rate. 1:28 Total Time of videos in this Chapter = 35:53

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