Elementary Algebra Test PrepChapter Test Prep problems, by Angel & RundeIntroduction and Table of Contents
This video series is entitled, "Elementary Algebra Test Prep," which provides chapter Test Prep problems, by Angel & Runde. The series presents 243 individual examples organized over 10 chapters and span the subject of Algebra 1. These videos have a total playtime duration of 6 hrs 01 min 35 sec.
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. If you don't find the particular math problem you're looking for, try other video sets
here. Remember my advice?
FREE Online Math Video Tutor Lessons & ExamplesAlgebra 1: Elementary Algebra Test Prep Chapter 1: Real Numbers   E  Example titles for Ch 1: Real Numbers  Time  Note 

1  Word problem, real numbers  2:25  1.2 Problem Solving  2  word problem  1:41  1.3 Fractions  3  word problem, median value, bar graph  1:25   4  Natural numbers, number line, whole numbers, integers  2:05  1.4 The Real Number System  5  real numbers, number line, greater value, negative numbers  0:26  1.5 Inequalities  6  absolute values, greater value, greater magnitude  0:30   7  number line, addition of negative numbers  0:26  1.6 Addition of Real Numbers  8  subtraction of negative numbers  0:19  1.7 Subtraction of Real Numbers  9  subtracting larger numbers from smaller numbers  0:15   10  order of operations  0:38   11  multiplication with negative numbers  0:32  1.8 Multiplication and Division of Real Numbers  12  fractions with negative signs  0:48   13  multiply & divide rational numbers or fractions with negative signs  0:41   14  adding and subtracting fractions  1:00   15  order of operations, negative numbers, division, parentheses  0:46  1.9 Exponents, Parentheses, and the Order of Operations  16  exponents, multiplication of fractions with negative signs  0:47   17  order of operations, exponents, parentheses  1:43   18  order of operations, negative signs on numbers with exponents  1:08   19  substitution and evaluating expressions  0:42   20  substitution and evaluating expressions  0:49   21  multiple variable substitution and evaluating expressions  0:43   22  multiple variable substitution and evaluating expressions with exponents  0:55   23  commutative property  0:18  1.10 Properties of the Real Number System  24  distributive property  0:27   25  associative property, can affect of order of operations  0:29    Total Time of videos in this Chapter =  21:58  
   21:58  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 2: Solving Linear Equations & Inequalities   E  Example titles for Ch 2: Solving Linear Equations & Inequalities  Time  Note 

1  distributive property in multiplication, parentheses  0:43  2.1 Combining Like Terms  2  distributing negative one, negative multiplication  0:59   3  simplify and collect like terms  0:34  2.2 The Addition Property of Equality  4  simplify and collect like terms, commutative property  0:48   5  simplify and combine like terms  0:38  2.3 The Multiplication Property of Equality  6  combine like terms  0:39   7  order of operations  1:15   8  solve for x in a linear equation, long division  2:07  2.4 Solving Linear Equations with a Variable on Only One Side of the Equation  9  solve for x in a linear equation, distributive property  3:19  2.5 Solving Linear Equations with the Variable on Both Sides of the Equation  10  solve for x, linear equation, distributive  1:13   11  solve for x in a linear equation, recognizing when there is no solution, no intersection  0:55  never true, not true for all x  12  solve for x in a linear equation, true for all x, when x = all real numbers, not "no solution", rather an infinite number of solutions  0:59   13  solve for x, in a multivariable linear equation  1:10   14  solve for x, in a multivariable linear equation  1:03  2.6 Formulas  15  solve for x, in linear equation, fractions, recognizing when x = 0  2:25  1) clear parentheses first, 2) clear fractions  16  solve for x, linear equation, fractions  0:34   17  exactly one solution > conditional solution, no solution > contradiction no intersection, solution x = all real values > Identity  0:54   18  solve and graph an inequality  1:30  2.8 Inequalities in One Variable  19  solve and graph an inequality  1:27   20  solve and graph an inequality when no solution  1:02   21  solve for x, always true, x = any real number, infinite number of solutions  1:18   22  proportions, similar triangles  1:14  2.7 Ratios and Proportions  23  principle & interest, I=prt  1:24   24  Circumference of a circle equals 2*Pi*r  1:24   25  rate problem, r*t = d, travel, speed = rate, distance, time  1:48    Total Time of videos in this Chapter =  31:22  
   31:22  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 3: Applications of Algebra   E  Example titles for Ch 3: Applications of Algebra  Time  Note 

1  story problem, word problem, money  1:07  3.1 Changing Application Problems into Equations  2  story problem  0:43  3.2 Solving Application Problems  3  story problem, interest change, cost, price  0:22   4  story problem, interest change, cost, price  1:09   5  story problem, word problem, problem formulation  1:25 
simple translation  6  story problem, word problem, problem formulation  0:36  simple translation  7  story problem, riddle problem, problem formulation  1:20  simple translation  8  story problem, word problem, problem formulation  0:47  simple translation  9  story problem, word problem, problem formulation, percent, ratio, proportion  1:36  simple translation  10  story problem, word problem, problem formulation  2:02  solve  11  consecutive odd numbers, integers  2:27   12  word problem, problem formulation, "the word is"  1:49 
3.4 Motion, Money, and Mixture Problems  13  percent solution problem, mixing acid solutions  2:05   14  percent solution problem, mixing salt solutions  2:04   15  mixing candy bags for price, mixing problem  3:09   16  multiple rate problem, r1*t1=d1, r2*t2=d2,
When does r1=r2?, or t1=t2?, or when does d1=d2?  1:36  multiple rates problem  17  when does d1 + d2= given constant total distance?  3:13  note: t_{1}=t_{2}  18  word problem, geometry refresher, Isosceles Trapezoid, symmetry problem, story problem. Note: in Euclidean space, every triangle has 180 degrees & every trapezoid has 360 degrees  2:33  3.3 Geometric Problems   Total Time of videos in this Chapter =  30:03  
   30:03  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 4: Exponents and Polynomials   E  Example titles for Ch 4: Exponents and Polynomials  Time  Note 

1  exponent product rule  0:47  4.1 Exponents  2  simplify expression with exponents inside and outside of parentheses  0:50   3  simplify rational expressions involving exponents, exponent quotient rule  0:38   4  rational expressions, with exponents, parentheses and order of operations  1:12   5  simplify expression with negative exponents, parentheses  0:54  4.2 Negative Exponents  6  zero exponents and order of operations  0:39   7  simplify multivariable exponential rational expressions  1:20   8  scientific notation  2:10  4.3 Scientific Notation  9  using scientific notation to simplify expressions  1:34   10  polynomials include singular nomials AKA monomial, but does not include 4x1  1:24   11  polynomials, binomials like 4x + 5  1:02   12  polynomials dont include negative exponents of the highest degree (convention)  0:25   13  descending order, degree of each term of a polynomial  0:52   14  simplify sum of polynomials  1:00  4.4 Addition and Subtraction of Polynomials  15  subtracting polynomials  0:53   16  subtracting polynomials  0:46   17  multiply a monomial times a binomial polynomial  0:29  4.5 Multiplication of Polynomials  18  FOIL, multiplying polynomials  0:57   19  FOIL, multiplying polynomials, binomial times a binomial  0:54   20  multiply a binomial times a trinomial polynomial  1:39   21  divide a polynomial  0:53  4.6 Division of Polynomials  22  divide a trinomial polynomial by a monomial  1:10   23  polynomial division, divide a trinomial by a binomial  1:57   24  long division of polynomials  2:05   25  compare halflifes, dividing monomials with exponents  2:24    Total Time of videos in this Chapter =  28:54  
   28:54  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 5: Factoring   E  Example titles for Ch 5: Factoring  Time  Note 

1  What's the difference between: Greatest common factor (GCF), Lowest common denominator (LCD), and Lowest Common Multiple (LCM)  1:55   2  Identify the GCF given various expressions  1:26   3  factor binomial like 5x2y3  15x5y2  1:55  5.1 Factoring a Monomial from a Polynomial  4  factoring trinomials  1:25   5  factor by grouping  1:29  5.2 Factoring by Grouping  6  factor by grouping, good example  1:51   7  factor a trinomial using FOIL into a pair of binomials  1:57  5.3 Factoring Trinomials of the Form ax^{2} + bx + c, when a = 1  8  factor a trinomial using FOIL into binomial factors  3:30 
AKA "trial and error"  9  factor trinomial first by common factor then FOIL  0:58  5.4 Factoring Trinomials of the Form ax^{2} + bx + c, a ∋ 1  10  factor trinomial first by common factor then FOIL  1:38   11  factor multivariable trinomial by FOIL  2:28   12  factor a Difference of Squares by "Similar Results"  1:21  5.5 Special Factoring Formulas and a General Review of Factoring  13  factor a Difference of Cubes by "Similar Results"  1:21 
remember to plug back in & test  14  solve an equation by factoring to find zeros  1:07   15  solve an equation by factoring to find zeros  0:37   16  solve by factoring a Difference of Cubes to find zeros  1:11   17  solve by factoring trinomial with FOIL to find zeros  1:00  5.6 Solving Quadratic Equations Using Factoring  18  solve trinomial by factoring with FOIL to find zeros  0:52   19  solve by setting equal to zero and factoring with FOIL to find zeros  1:24  remember to test results  20  solving right triangles with Pythagorean Theorem, Difference of Squares, and discarding nonphysical solutions  2:09  5.7 Applications of Quadratic Equations  21  solving right triangle with Pythagorean Theorem, complicated example, discarding nonphysical results, and making sure you answer the actual question  4:20   22  mystery integers problem, word problem, story problem, solution by factoring, finding zeros  4:39   23  mystery integers problem, word problem, story problem, solution by factoring, finding zeros  1:25   24  word problem, story problem, problem formulation, solution by factoring, finding zeros, discarding nonphysical solutions  1:56   25  given formula, apply correctly to solve, discarding nonphysical solutions  0:57    Total Time of videos in this Chapter =  44:51  
   44:51  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 6: Rational Expressions and Equations   E  Example titles for Ch 6: Rational Expressions and Equations  Time  Note 

1  simplify rational expressions, divide out common factors  0:48  6.1 Simplifying Rational Expressions  2  simplify rational expressions, divide out common factors  0:47   3  simplify rational expressions with exponents  1:36   4  simplify rational unfactored expressions, factor, divide out common factors  1:22   5  [unavailable]  0:00   6  multiplication of rational expressions, factor, divide out common factors  1:34  6.2 Multiplication and Division of Rational Expressions  7  Division of rational expressions, factor, divide out common factors  1:33   8  Division of rational expressions, factor, divide out common factors  1:26   9  Division of rational expressions, factor, divide out common factors  1:53   10  adding rational expressions, Least Common Denominator  1:04  6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator  11  subtract rational expressions, Least Common Denominator  1:09  6.4 Addition and Subtraction of Rational Expressions  12  subtract rational expressions, Least Common Denominator  1:32   13  subtract rational expressions, Least Common Denominator  2:01   14  subtract rational expressions, Least Common Denominator  4:22   15  simplify complicated fraction, eliminate simpler fractions from numerator and denominator  1:34  6.5 Complex Fractions  16  simplify complicated fraction, eliminate simpler fractions from numerator and denominator  1:30   17  simplify complicated fraction, eliminate simpler fractions from numerator and denominator  1:19   18  [unavailable]  0:00   19  [unavailable]  0:00   20  solve equation with rational expressions, Least Common Denominator, factor, common factor to add fractions, divide out common factors, simplify, convert to linear equation, set to zero, factor, find zeros  3:36  6.6 Solving Rational Equations  21  story problem, word problem, r × t = d, translate problem, formulate problem, rate problem,
When does r1=r2?, or t1=t2?, or when does d1 = d2?  2:39  6.7 Rational Equations: Applications and Problem Solving; farming  22  mystery number problem, word problem, story problem, translate problem, formulate problem, solve  2:36  6.8 Variation  23  story problem, word problem, triangle problem, translate problem, formulate, solve, discard nonphysical solutions  2:44  triangles  24  story problem, word problem, r × t = d, translate problem, problem formulation, rate problem  4:05  exorcise  25  story problem, word problem, formula, wavelength  2:18    Total Time of videos in this Chapter =  43:28  
   43:28  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 7: Graphing Linear Equations   E  Example titles for Ch 7: Graphing Linear Equations  Time  Note 

1  What is a Graph?  0:17  7.1 The Cartesian Coordinate System and Linear Equations in Two Variables  2  Cartesian coordinate system  0:32   3  standard form of a linear equation (of a line in 2D), pointslope form of equation of a line (2D), pointslope formula  0:38  7.2 Graphing Linear Equations  4  determine what point satisfies an equation of a line,
i.e. test each of the possible given solutions  2:27   5  find slope of a line intersecting two given points  0:58  7.3 Slope of a Line  6  find slope and yintercept of an equation of a line, given standard form  1:22  7.4 SlopeIntercept and PointSlope Forms of a Linear Equation  7  given slope, and yintercept, determine the equation of a line through that point with that slope  0:30   8  Graph the line given by the equation x =  4;
What values of y allow for x to equal 4 ?  0:21  7.5 Graphing Linear Inequalities  9  Graph the line given by the equation y = 2  0:21   10  Graph y=3x2, by freehand diagram  1:56   11  solve for y given a standard form equation of a line (2D), tchart, test value chart  2:35   12  Graph the line 3x+5y=15, using x & yintercepts, test chart  1:49   13  given a point and a slope, find an equation  0:55  Using the "pointslope formula"  14  find equation of line passing thru 2 given points, find slope, find equation  2:35   15  given 2 equations of lines, determine if parallel or perpendicular?  1:00   16  Graph line given slope and intercepts  1:14   17  Graph line using slope intercept form  1:54   18  Define what is a function  0:12  7.6 Functions  19  Determine if a set of ordered pairs is a function.
Identify the Domain and Range.  0:53  rare, but important  20  Given a graph, determine it represents a function using vertical line test  1:05   21  Evaluate a function for a particular given value.  1:30   22  Given a function, graph using test values  2:05   23  Graph a given linear inequality  2:11   24  Graph a given linear inequality  2:07   25  Graph given formula of income as function of sales  2:48    Total Time of videos in this Chapter =  34:15  
   34:15  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 8: Systems of Linear Equations   E  Example titles for Ch 8: Systems of Linear Equations  Time  Note 

1  Determine if a given point satisfies two given equations of lines  3:25   2  two lines which eventually intersect off page, consistent system, one solution, not parallel  0:12  8.1 Solving Systems of Equations Graphically  3  parallel lines, never intersect, no solution, inconsistent system  0:13   4  two lines on top of one another, dependent system, infinite number of solutions  0:14   5  solve two equations in two unknowns, determine how many solutions exist, recognizing parallel lines  1:23   6  solve two equations for y, determine how many solutions exist, recognizing nonparallel lines  1:46   7  solve two equations for y, determine how many solutions exist  2:18   8  What is Inconsistent? Any false statement. What is Dependent? Any statement that is always true.  0:43   9  Solve a system of two equations graphically. Graph using x & y intercepts.  2:44   10  Solve a system of two linear equations graphically. Graph using x & y intercepts.  2:56   11  Solving systems of equations graphically, finding intercepts, & finding if solution exist.  2:36   12  Solving systems of equations by substitution.  1:08  8.2 Solving Systems of Equations by Substitution  13  Solving systems of linear equations by substitution.  2:27   14  Solving a system of linear equations by substitution.  2:11   15  Solving systems of by the addition method.  1:47  8.3 Solving Systems of Equations by the Addition Method  16  Solving systems of linear equations by the addition method.  1:44   17  Solving a system of equations by the addition method.  1:54   18  Solving systems of equations by the addition method. Use the method of your choice.  1:44  graphing, addition, or substitution method?  19  Solving systems of linear equations by the addition method. Use the method of your choice.  1:54   20  Solving a system of linear equations by the addition method. Use the method of your choice.  2:50   21  Rate Problem, Story problem, word problem, translating a word problem, r x t = d, trucks  3:53  8.4 Systems of Equations: Applications and Problem Solving  22  Rate Problem, Story problem, word problem, translating a word problem, r x t = d, candy, prices  4:48   23  Rate Problem, Story problem, word problem, translating a word problem, r x t = d, boats  3:19   24  Graph a system of linear inequalities, shading graph, solution of a system inequalities  1:40  8.5 Solving Systems of Linear Inequalities  25  Graph a system of linear inequalities, shading graph, solution of a system of inequalities  1:26    Total Time of videos in this Chapter =  51:15  
   51:15  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 9: Roots and Radicals   E  Example titles for Ch 9: Roots and Radicals  Time  Note 

1  rewrite radical expression in exponential form  0:23  9.1 Evaluating Square Roots  2  rewrite an exponential expression in radical form  0:25   3  simplify & rewrite radical expressions  0:16  9.2 Simplifying Square Roots  4  simplify, rewrite & equivalent radical expressions  0:39   5  simplify & rewrite equivalent radical expressions  0:53   6  rewrite equivalent radical expressions  1:29   7  multiply and simplify radical expressions  1:20  9.3 Adding, Subtracting, and Multiplying Square Roots  8  multiply and simplify radical expressions  1:08   9  multiply and simplify radical expressions  0:32   10  divide and simplify radical expressions  0:51  9.4 Dividing Square Roots  11  simplify a radical expression with a radical in the denominator  0:47   12  simplify a radical expression with a radical in the denominator  1:06   13  divide and simplify a radical expression with a radical in the denominator  2:22   14  multiply and divide, and then simplify expression with radicals in the denominator  2:00   15  multiply and divide, and then simplify expression with radicals in the denominator  1:18   16  add and subtract radical expressions  1:25   17  add and subtract radical expressions  0:28   18  solve an equation for a variable under a radical, and check for extraneous solutions  1:28  9.5 Solving Radical Equations  19  solve an equation for a variable under a radical, and check for extraneous solutions  3:25   20  solve a right triangle geometry problem, solve for x using Pythagorean Theorem  1:20  9.6 Radicals: Applications and Problem Solving  21  Given coordinates of two points, find the distance in Euclidean space between the two points.  1:33  distance formula  22  evaluate an exponential expression  0:40   23  rewrite the product of radical expressions in exponential form and simplify  0:41  9.7 Higher Roots and Rational Exponents  24  Given area of a square find the length of a side  0:35  area of a square formula  25  story problem, word problem, translate the problem, given a formula and some data, solve for a missing variable in a radical expression  1:11    Total Time of videos in this Chapter =  28:15  
   28:15  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

[top  select Chapter] Algebra 1: Elementary Algebra Test Prep Chapter 10: Quadratic Equations   E  Example titles for Ch 10: Quadratic Equations  Time  Note 

1  Solve Quadratic Equation via radical method  1:16  10.1 The Square Root Property  2  solve quadratic equation using the square root property  1:02  compare your solution with the factoring method solution  3  solve quadratic equation by completing the square and using the square root property  2:47  10.2 Solving Quadratic Equations by Completing the Square  4  solve quadratic equation by completing the square and using the square root property  1:41  complete the square  5  solve quadratic equation using the quadratic formula and simplify  2:32  10.3 Solving Quadratic Equations by the Quadratic Formula  6  solve quadratic equation using the quadratic formula and simplify  3:05   7  solve quadratic equation with the method of your choice  0:54  completing the square and the root property, quadratic equation, or factoring?  8  State the Quadratic Formula  0:30   9  give an example of a perfect square trinomial  1:05   10  determine the number of real number solutions to the given quadratic using the discriminate  1:31  Recall: b^{2}4ac, from the quadratic formula. >0 exists 2 real, =0 only exists 1 real, <0 exists 2 imaginary solutions  11  find the number of real solutions of a given quadratic equation using the discriminate  1:04   12  find the equation for the axis of symmetry for a given quadratic equation (1D example)  0:44  x = b/2a, see quadratic formula  13  find the equation for the axis of symmetry for a given quadratic equation (1D example)  0:45   14  determine if this graph opens upward or downward  0:14  coefficient of the squared term  15  determine if this graph opens upward or downward  0:15  coefficient of the squared term  16  vertex of a parabola  0:12   17  find coordinates of the vertex of a given parabola, x = b/2a and y = (4ac  b2)/4a  1:49  see quadratic formula:
x = x_{vrtx} ± (y_{vrtx})^{1/2}  18  find vertex of a parabola using formula  1:47   19  graph vertex of a parabola using formula  4:25  10.4 Graphing Quadratic Equations  20  graph parabola, recall vertex formulas, test points  4:28   21  graph parabola, recall vertex formulas, test points  4:12   22  story problem, word problem, find the length and width of an area, given the area and some relation  4:07   23  story problem, word problem, find the integers problem  2:00   24  story problem, word problem, find the numbers that satisfy a given relation  1:59   25  solve quadratic equation using quadratic formula  2:50  10.5 Complex Numbers   Total Time of videos in this Chapter =  47:14  
   47:14  Time _{(minutes : seconds)}  Individual video clips are listed above to help you find specific topics. 
 

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