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Beginning Algebra Test Prep

Step-by-step worked examples of Algebra 1 Chapter Test Prep problems

Introduction and Table of Contents

This video series is entitled, "Beginning Algebra Test Prep," which covers step-by-step worked examples of Algebra 1 Chapter Test Prep problems. The series presents 279 individual examples organized over 9 chapters and span the subject of Algebra 1. These videos have a total playtime duration of 7 hrs 41 min 37 sec. These videos were based in part on the book entitled, "Beginning Algebra," written by Elayn Martin-Gay. ©2013 Pearson 6E.

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 1 textbook. This is a fantastic resource for anyone studying algebra or seeking a well organized, systematic and all encompassing quick review. Note that each math tutor 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?

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FREE Online Math Video Tutor Lessons & Examples

Algebra 1: Beginning Algebra Test Prep
Chapter 1: Real Numbers

EExample titles for Ch 1: Real NumbersTimeNote
1Determine if greater than or less than0:35 1.1 Tips for Success in Mathematics
2Determining greater than or less than0:421.2 Symbols and Sets of Numbers
3Adding negative numbers0:461.3 Fractions and Mixed Numbers
4Order of operations0:511.4 Exponents, Order of Operations, Variable Expressions and Equations
5Order of operations and Division, multiplication, & subtraction1:111.5 Adding Real Numbers
6Multiply a positive number and a negative number0:181.6 Subtracting Real Numbers
7Multiplying two negative numbers0:191.7 Multiplying and Dividing Real Numbers
8Absolute value of a negative number divided by a negative number0:451.8 Properties of Real Numbers
9Dividing a number by zero0:50
10Simplify absolute value expressions1:10
11Subtracting fractions1:58
12Subtracting mixed numbers1:35
13Subtracting a positive number from a negative number1:34
14Order of operations with parentheses0:41
15Order of operations with multiple terms1:33
16Simplify rational expression0:47
17Simplify rational expression with a zero factor0:34
18Comparing size of numbers0:29
19Comparing small positive numbers with large negative numbers0:25
20Comparing a positive number with the absolute value of a negative number0:25
21Comparing values of two expressions0:41
22Writing inequality statements to compare two numbers0:21
23Identifying natural, whole, rational, irrational, real numbers & integers2:16
24Evaluating expressions given substitution values with squaring0:52
25Evaluating expressions given substitution values with negative numbers0:42
26Evaluating expressions given substitution values with order of operations1:12
27Evaluating expressions given substitution values with fractions1:32
28Associative property of addition0:42
29Commutative property of multiplication0:35
30Distributive property of multiplication0:29
31Multiplicative inverse and the inverse property of multiplication0:54
32Opposite of a number and the identity element of addition0:40
33Recipricol of a number0:54
34Reading table data and the value of numbers0:27
35Recongnizing importance of given information in a word problems0:33
36Adding starting point and amount of change to find present value0:30
37Adding net quantities to get the total net change1:03
38Finding loss of selling a stock1:00
 Total Time of videos in this Chapter = 32:51  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 2: Equations, Inequalities, and Problem Solving

EExample titles for Ch 2: Equations, Inequalities, and Problem SolvingTimeNote
1Simplifying expressions0:52 2.1 Simplifying Algebraic Expressions
2Simplifying expressions by combining like terms0:562.2 The Addition Property of Equality
3Simplifying expressions with distribution property1:072.3 The Multiplication Property of Equality
4Simplifying expressions with order of operations0:592.4 Solving Linear Equations
5Solving equations1:412.5 An Introduction to Problem Solving
6Solving linear equations2:112.6 Formulas and Problem Solving
7Solving linear equations in one variable2:072.7 Percent and Mixture Problem Solving
8Solving linear equations of degree one in one variable1:462.8 Further Problem Solving
9Solving linear equations with fractions2:122.9 Solving Linear Inequalities
10Solving linear equations of degree one with fractions2:49
11Solving linear equations with decimals3:11
12Solving linear equations with parentheses1:41
13Solving an equation with parentheses2:03
14Solve an equation given substitution values0:52
15Solve a formula for a particular variable0:59
16Solving an equation in 2 variables for one variable1:44
17Solve a linear inequality2:31
18Solving a linear inequality2:19
19Solving a compound inequality2:10
20Solving a linear inequality with fractions1:30
21Translating word problems into an equation2:04
22Solving word problems and related number problems3:25
23Solving related number problems and word problems2:11
24Solving word problems with simple interest3:06
25Solving word problems, multiple rate problems, & distance rate time problems2:21
26Solving word problems and story problems with percentages1:38
27Solving word problems with percent2:02
28Solving word problems with percent change3:29
 Total Time of videos in this Chapter = 55:56  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 3: Graphing

EExample titles for Ch 3: GraphingTimeNote
1Graphing equations2:35 3.1 Reading Graphs and the Rectangular Coordinate System
2Graphing linear equations1:493.2 Graphing Linear Equations
3Graphing linear equations in 2 variables2:083.3 Intercepts
4Graphing a linear equation in 2 variables1:353.4 Slope and Rate of Change
5Graphing x equals a constant1:153.5 Equations of Lines
6Find the slope of a line given two points0:573.6 Functions
7Find the slope of a linear equation given two points0:37
8Find the slope of a straight line given two points0:35
9Find the slope with slope-intercept form1:05
10Find the slope of the line x equals a constant0:56
11Find slope and y-intercept of a linear equation with slope-intercept form1:23
12Are given lines parallel, perpendicular or niether1:27
13Write a line equation through a given point and slope2:09
14Write a line equation through given points2:20
15Write a line equation through two given points1:58
16Write a line equation through a given point & parallel to a given line1:04
17Write a line equation given slope and y-intercept (with point slope form)1:49
18Determine if a graph is a function with the vertical line test0:30
19Use the vertical line test to determine if a graph is a function0:31
20Calculate sample values of a function for a table of ordered pair solutions1:57
21Find the domain of a function and in interval notation1:32
22Find the x-intercept, y-intercept, domain and range of a graph2:33
23Find the x-intercept, y-intercept, domain and range of the graph of a line2:03
24Write the ordered pair represented by given function and variable values0:30
25Estimate based on bar graph data0:53
26Estitmate average use based on bar graph data0:47
27Use broken line graph to estimate the highest average temperature0:54
28Use a broken line graph to estimate average high temperature0:48
29Use a broken line graph to determine which months are below a given temperature1:18
30Write table data as a set of ordered pairs and create scatter diagram (and label)2:22
31Find slope from graph data & write linear approximation equation6:26
 Total Time of videos in this Chapter = 48:46  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 4: Solving Systems of Linear Equations and Inequalities

EExample titles for Ch 4: Solving Systems of Linear Equations and InequalitiesTimeNote
1How many solutions can a system of two linear equations in two variables have1:15 4.1 Solving Systems of Linear Equations by Graphing
2Can an ordered pair not a solution of equation A be a solution of system A + B0:244.2 Solving Systems of Linear Equations by Substitution
3Determine if a system of equations has no solution0:204.3 Solving Systems of Linear Equations by Addition
4Determining if a system of equations has no solution0:284.4 Systems of Linear Equations and Problem Solving
5Determining if a given ordered pair is a solution to a system of equations1:274.5 Graphing Linear Inequalities
6Determine if a given ordered pair is a solution to a system of equations1:384.6 Systems of Linear Inequalities
7Solve a system of linear equations by graphing2:23
8Solve a system of linear equations in 2 variabes by graphing2:02
9Solve a system of equations by substitution method3:38
10Solve the system of equations by substitution method2:42
11Solve a system of linear equations by addition method2:09
12Solve a system of linear equations by addition method AKA eliminataion method1:59
13Solve the system of linear equations by addition method AKA eliminataion method2:37
14Solve a system of linear equations by substitution method2:39
15Solve the system of linear equations by addition method4:35
16Solve the system of linear equations by substitution method1:58
17Solve a system of linear equations via addition method, first clearing decimals3:12
18Solve a system of linear equations by substitution method, clearing fractions2:20
19Solve word problems by translating into a system of linear equations1:50
20Solve mixture problems by translating into a system of linear equations2:46
21Solve word problems on farms by translating into a system of linear equations3:21
22Solve rate problem word problems by translating into a system of equations3:02
23Graph an inequality3:42
24Graph a linear inequality3:23
25Graph a linear inequality in 2 variables2:16
26Graph the solution region of a system of inequalities1:47
27Graph the solution region of a system of linear inequalities1:55
 Total Time of videos in this Chapter = 1:01:48  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 5: Exponents and Polynomials

EExample titles for Ch 5: Exponents and PolynomialsTimeNote
1Calculate the value of a simple exponential expression0:25 5.1 Exponents
2Calculate the value of a simple exponential expression with negative numbers0:315.2 Adding and Subtracting Polynomials
3Very important aspect of Order of operations as it applies to exponents0:355.3 Multiplying Polynomials
4Calculate the value of a simple exponential expression with negative exponents0:375.4 Special Products
5Simplify exponential expressions0:325.5 Negative Exponents and Scientific Notation
6Simplify an exponential expression with fractions0:175.6 Dividing Polynomials
7Simplify an exponential expression with negative exponents and fractions0:40
8Simplify exponential expessions with fractions, exponents, and parentheses1:28
9Simplify expression with fractions, positive & negative exponents1:41
10Write a large number in scientific notation0:41
11Write decimal number in scientific notation0:42
12Write a number in scientific notation in standard form0:42
13Convert scientific notation to standard form0:35
14Multiplication with scientific notation and express in standard form1:23
15Numerical coefficients of terms and degree of polynomials1:25
16Simplify polynomials0:48
17Adding polynomials1:33
18Subtracting polynomials2:02
19Adding and subtracting polynomials1:46
20Multiplication with a binomial and a trinomial2:12
21Multiplication of a monomial by a trinomial0:55
22Multiplication of a binomial by a binomial1:08
23Multiplication of a binomial with a binomial1:23
24Squaring a binomial1:27
25Squaring a binomial and multiplication of a binomial by a binomial1:40
26Multiplying a binomial by a binomial and the sum & difference of squares1:23
27Create a table of ordered pair solutions for a polynomial function1:49
28Find table top area2:43
29Division of polynomials by a monomial with fractions2:08
30Division of polynomials by a binomial with long division1:44
31Division of polynomials by a binomial with long division3:39
 Total Time of videos in this Chapter = 40:34  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 6: Factoring Polynomials

EExample titles for Ch 6: Factoring PolynomialsTimeNote
1Factoring polynomials1:54 6.1 The Greatest Common Factor and Factoring by Grouping
2Factoring polynomials with a difference of squares1:186.2 Factoring Trinomials of the Form x2 + bx + c
3Factoring polynomials by trial and error1:256.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomial
4Factoring polynomials by grouping1:096.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
5Factoring the sum of two squares0:596.5 Factoring Binomials
6Factor a polynomial by trial and error1:096.6 Solving Quadratic Equations by Factoring
7Factor the polynomial by trial and error1:156.7 Quadratic Equations and Problems Solving
8Compare factor by trial and error and factor by grouping4:24
9Factoring polynomials with four terms with factor by grouping1:54
10Factoring trinomials by both trial and error method and factor by grouping3:21
11Factoring a polynomial by trial and error1:10
12Factoring binomials and a difference of squares1:03
13Factor by both trial and error method then factor by grouping3:42
14Factor by grouping a four term polynomial1:33
15Factoring binomials and the difference of squares1:25
16Factoring binomials by writing a sum as a product1:14
17Factoring binomials with a difference of cubes2:00
18Difference of cubes1:33
19Solving equations1:31
20Solving equations by factoring1:29
21Solving quadratic equations by factoring1:55
22Solving cubic equations by factoring1:43
23Solving cubic equations with a polynomial on one side by factoring1:39
24Solving equations by factoring with the zero factor theorem1:16
25Solving quadratic equations by factoring with the zero factor theorem1:42
26Find height of a triangle given the area and relation of length & height2:21
27Solving word problems on related numbers3:07
28Solving word problems for when an object falls to the ground2:01
29Solve a word problem on triangles with related numbers4:03
 Total Time of videos in this Chapter = 55:15  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 7: Rational Expressions

EExample titles for Ch 7: Rational ExpressionsTimeNote
1Find the domain1:14 7.1 Simplifying Rational Expressions
2Given a formula, calculate2:017.2 Multiplying and Dividing Rational Expressions
3Simplify rational expressions1:097.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators
4Simplify rational expression1:057.4 Adding and Subtracting Rational Expressions with Unlike Denominators
5Simplify rational expressions with a sum of cubes1:487.5 Solving Equations Containing Rational Expressions
6Simplify rational expressions with a common factor in the numerator2:087.6 Proportion and Problem Solving with Rational Equations
7Simplify rational expressions with factoring by grouping2:417.7 Variation and Problem Solving
8Simplify rational expressions with opposite factors2:087.8 Simplifying Complex Fractions
9Multiplying and simplifying rational expressions1:47
10Multiply and simplify rational expressions1:55
11Subtracting rational expressions1:59
12Subtracting and rational expressions3:10
13Subtract rational expressions3:06
14Dividing rational expressions3:29
15Adding rational expressions3:27
16Solving equations2:46
17Solving equations with rational expressions by cross multiplying1:50
18Solving equations with rational expressions with LCD3:05
19Solving equations with rational terms with LCD3:38
20Solving rational equations4:58
21Simplifying complex fractions2:11
22Simplifying rational expressions with complex fractions2:17
23Simplifying complex fractions or complex fractions2:55
24Direct proportionality1:21
25Inverse proportionality1:32
26Word problems on proportions relating ratios1:37
27Word problems on related numbers2:39
28Word problems on rate problems about boats2:22
29Word problems on rate problems about work or pipes2:40
30Word problems on similar triangles0:54
 Total Time of videos in this Chapter = 1:09:52  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 8: Roots and Radicals

EExample titles for Ch 8: Roots and RadicalsTimeNote
1Find the square root0:12 8.1 Introduction to Radicals
2Find the cube root0:158.2 Simplifying Radicals
3Calculate rational exponents0:328.3 Adding and Subtracting Radicals
4Simplify rational exponent in radical form0:348.4 Multiplying and Dividing Radicals
5Find root of a negative number0:458.5 Solving Equations Containing Radicals
6Simplify negative rational exponents0:468.6 Radical Equations and Problem Solving
7Simplify radicals by factoring out perfect squares0:468.7 Rational Exponents
8Finding the square root0:42
9Simplify radical0:53
10Simplify radicals by factoring out perfect square factors1:31
11Simplify square root radicals with odd exponent radicands1:19
12Simplify a cube root0:14
13Simplify cube root expressions with perfect cube factors0:40
14Simplify square roots with perfect square factors0:48
15Simplify a square root radical with perfect square factors1:20
16Simplify a square root with perfect square factors0:25
17Simplify a square root with rational radicands with perfect square factors1:26
18Simplify the cube root of a rational radicands with perfect cube factors0:28
19Simplify square root expression with perfect square factors0:39
20Adding and subtracting like radicals, like combining like terms1:20
21Subtract radicals by simplifying to like radicals & combine like terms1:23
22Simplify radical expression by adding and subtracting radicals2:03
23Adding radicals with rational radicandss2:13
24Mulitply square roots1:10
25Multiply a square root and a binomial factor with radical terms1:46
26Multiply binomials with radical terms1:40
27Simplfiy rational radicals by combining under a single radical0:43
28Simplify rational square roots by combining under a single radical2:17
29Rationalize square root with rational radicands1:12
30Rationalize a cube root with a rational radicands1:28
31Simplify square roots with rational radicands1:27
32Rationalize the denominator of a rational radical expression3:26
33Solving radical equations1:28
34Solving radical equations with binomial radicands1:48
35Solve a square root radical equation3:38Important example
36Solving right triangle problems with the Pythagorean theorem1:34
37Find the distance between to points1:29
38Multiply negative rational exponents0:50
39Simplify multiple factors of rational exponents within parentheses raiesed to a power0:58
 Total Time of videos in this Chapter = 48:08  
 

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Algebra 1: Beginning Algebra Test Prep
Chapter 9: Quadratic Equations, complex numbers,
and graphing

EExample titles for Ch 9: Quadratic Equations, complex numbers, and graphingTimeNote
1Solving equations by square root property0:58 9.1 Solving Quadratic Equations by the Square Root Property
2Solving quadratic equations with a squared binomial by square root property1:319.2 Solving Quadratic Equations by Completing the Square
3Solving quadratic equations completing square2:099.3 Solving Quadratic Equations by the Quadratic Formula
4Solving quadratic equations by completing the square3:219.4 Complex Solutions of Quadratic Equations
5Solving quadratic equations with quadratic formula2:369.5 Graphing Quadratic Equations
6Solving quadratic equations by quadratic formula2:10
7Solving quadratic equations by factoring and zero factor theorem2:15
8Solving quadratic equations with a squared binomial1:16
9Solving quadratic equations with the quadratic formula1:43
10Solving quadratic equations by the quadratic formula1:57
11Solving quadratic equations by factoring with zero factor theorem1:09
12Solving quadratic equations with quadratic formula2:07
13Solving cubic equations by factoring and zero factor theorem1:35
14Simplify square root of a negative number0:34
15Simplify the square root of a negative number0:43
16Adding complex numbers0:34
17Subtracting complex numbers0:25
18Multiplying complex numbers1:03
19Dividing complex numbers2:33
20Graphing quadratic equations, a parabola, by finding the vertex, intercepts and plotting ordered pairs2:23
21Graphing quadratic equations, a parabola, by finding the vertex, intercepts and plotting sample points2:53
22Graphing quadratic equations, a parabola, by finding the vertex, intercepts and plotting sample points2:46
23Graphing quadratic equations, a parabola, by finding the vertex, intercepts and plotting sample points3:33
24Solving word problems on triangles2:28
25Formula for the number of diagonals in a polygon of n sides2:13
26Given a formula for height as a function of time and a height value, solve for time, discarding nonphysical results1:32
 Total Time of videos in this Chapter = 48:27  
 

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