Intermediate Algebra Test Prep Problems275 worked math help tutor video examples on Intermediate Algebra examples, well organized by chapter, from textbook: Angel & Runde's "Intermediate Algebra"Introduction and Table of Contents
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?
Jump to Chapter: one, two, three, four, five, six, seven, eight, nine, ten, or eleven. 
FREE Online Math Video Tutor Lessons & ExamplesAlgebra 2: Intermediate Algebra Test Prep Problems Chapter 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  
   21:37  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 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  
   35:33  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 3: Graphs and Functions     28:02  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 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  
   59:35  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 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 xintercepts.  1:35   23  Find an equation with given xintercepts. Reverse of factoring, FOIL.  0:55   24  Story problem, geometry, triangle, area  2:53   25  Solve for xintercepts, story problem, projectile problem.  2:05    Total Time of videos in this Chapter =  31:47  
   31:47  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 6: Rational Expressions and Equations     42:20  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 7: Roots, Radicals, and Complex Numbers   E  Example titles for Ch 7: Roots, Radicals, and Complex Numbers  Time  Note 

1  Always write the absolute value of terms extracted from an even radical.  0:29  7.1 Roots and Radicals,
Any negative direction must be specified outside the even root radical. Ex: 21/2 = (21/2) = (square root of 2), not square root of (2).  2  Simplify expressions with rational exponents and negative exponents.  1:34  7.2 Rational Exponents  3  Factor exponential polynomial.  1:04   4  Graph a radical function using a tchart (sample points).  1:17   5  Simplify radicals by rewriting internal factors as perfect and nonperfect squares.  1:13  7.3 Simplifying Radicals  6  Simplifying products of radical expressions.  1:53  7.4 Adding, Subtracting, and Multiplying Radicals  7  Simplifying expressions and removing radicals from the denominator.  2:44   8  Simplifying rational expressions with radicals in the denominator.  0:47   9  Simplifying expressions with a radical or binomial in the denominator.  2:14   10  Simplifying polynomial expressions with radical terms.  1:22   11  Simplifying radical expressions by rewriting factors as products of perfect and nonperfect cubes.  1:36   12  Simplifying products of binomials with radical terms.  1:33  7.5 Dividing Radicals  13  Simplifying compound radical expressions, a radical within a radical.  0:53   14  Simplifying rational radical expressions containing binomial expressions with exponents.  1:26   15  Solving radical equations and checking for extraneous solutions.  1:26   16  Solving radical equations and testing for extraneous solutions.  2:16   17  Solving radical equations and extraneous solutions.  2:22  7.6 Solving Radical Equations  18  Finding intersection amoung functions and check for extraneous solutions.  2:53   19  Solving radical equations and a physics formula.  1:17   20  Applying a radical formula, story problem.  0:57   21  Use pythagorean theorem to solve right triangle problems, word problem.  1:18   22  Apply a formula, word problem, calculate a result.  1:12   23  Simplifying expressions with complex binomials in denominator and complex conjugate.  1:19  7.7 Complex Numbers  24  Complex rational expressions with complex binomial in denominator and complex conjugate.  2:09   25  Simplify by substituting a variable out for a complex binomial constant.  1:31    Total Time of videos in this Chapter =  38:45  
   38:45  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 8: Quadratic Functions   E  Example titles for Ch 8: Quadratic Functions  Time  Note 

1  Solving quadratic equations by completing the square.  1:43  8.1 Solving Quadratic Equations by Completing the Square  2  Solve a quadratic equations by completing the square.  1:29   3  Solving quadratic equations using the Quadratic Formula.  1:57  8.2 Solving Quadratic Equations by the Quadratic Formula  4  Solve a quadratic equation using the Quadratic Formula.  2:07   5  Solving quadratic equations using the Quadratic Formula.  2:01   6  Solve a quadratic equation with the Quadratic Formula.  1:31   7  Writing functions with xintercepts at given predetermined points  1:28   8  Solve a physics formula for one particular variable using the square root.  0:55   9  Estimate using the quadratic formula.  4:36  8.3 Quadratic Equations: Applications and Problem Solving  10  Multiple rate problems, using the Quadratic Formula. Nonphysical solutions.  5:45   11  Solving polynomials of degree 4 with the Quadratic Formula.  3:23  8.4 Writing Equations in Quadratic Form  12  Solving polynomials with the Quadratic Formula.  2:44   13  Finding xintercepts & writing polynomials of degree 1 in quadratic form  1:06  8.5 Graphing Quadratic Functions  14  Graphing parabolas.  1:32   15  Finding verticies, intercepts, an axis of symmetry and graphing a parabola.  2:30   16  Number of real solutions of a quadratic equation with the Quadratic Formula.  1:12   17  Graphing quadratic equations in standard form, intercepts, verticies  3:31   18  Find a quadratic equation with given xintercepts with the Zero factor property  1:31   19  Solving quadratic inequalities, zero factor property & test intervals  3:34  8.6 Quadratic and Other Inequalities in One Variable  20  Solving rational inequalities, using test intervals and the domain.  3:28   21  Rational inequalities in Interval Notation & Set Builder Notation  3:37   22  Solve an area problem using the Quadratic Formula and nonphysical solutions.  3:36   23  Quadratic equations, position as a function of time and nonphysical solutions.  2:38   24  Solve quadratic equations, find maximum value, vertex & maximize profit  1:33   25  Solve a quadratic equation, find maximum value, vertex, & maximize profit  3:10    Total Time of videos in this Chapter =  1:02:37  
   1:02:37  Time _{(hours : minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 9: Exponential and Logarithmic Functions     28:19  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 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  Rewrite nonstandard 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 nonstandard form and standard form equations of a circle.  2:06   12  Obtaining intercepts and graphing an ellipse in nonstandard 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  Rewrite nonstandard 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  Rewrite 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, rewrite polynomial of degree 4 into quadratic form  7:37    Total Time of videos in this Chapter =  47:59  
   47:59  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 2: Intermediate Algebra Test Prep Problems Chapter 11: Sequences, Series, and the Binomial Theorem     35:53  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

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