# MathematicsWizard ™ # BeginningAlgebra Test Prep

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

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? Jump to Chapter: one, two, three, four, five, six, seven, eight, or nine.

## Algebra 1: BeginningAlgebra Test PrepChapter 1: Real Numbers

E Example titles for Ch 1: Real Numbers Time 1 Determine if greater than or less than 0:35

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## Algebra 1: BeginningAlgebra Test PrepChapter 2: Equations, Inequalities, and Problem Solving

E Example titles for Ch 2: Equations, Inequalities, and Problem Solving Time Note 1 Simplifying expressions 0:52 2.1 Simplifying Algebraic Expressions 2 Simplifying expressions by combining like terms 0:56 2.2 The Addition Property of Equality 3 Simplifying expressions with distribution property 1:07 2.3 The Multiplication Property of Equality 4 Simplifying expressions with order of operations 0:59 2.4 Solving Linear Equations 5 Solving equations 1:41 2.5 An Introduction to Problem Solving 6 Solving linear equations 2:11 2.6 Formulas and Problem Solving 7 Solving linear equations in one variable 2:07 2.7 Percent and Mixture Problem Solving 8 Solving linear equations of degree one in one variable 1:46 2.8 Further Problem Solving 9 Solving linear equations with fractions 2:12 2.9 Solving Linear Inequalities 10 Solving linear equations of degree one with fractions 2:49 11 Solving linear equations with decimals 3:11 12 Solving linear equations with parentheses 1:41 13 Solving an equation with parentheses 2:03 14 Solve an equation given substitution values 0:52 15 Solve a formula for a particular variable 0:59 16 Solving an equation in 2 variables for one variable 1:44 17 Solve a linear inequality 2:31 18 Solving a linear inequality 2:19 19 Solving a compound inequality 2:10 20 Solving a linear inequality with fractions 1:30 21 Translating word problems into an equation 2:04 22 Solving word problems and related number problems 3:25 23 Solving related number problems and word problems 2:11 24 Solving word problems with simple interest 3:06 25 Solving word problems, multiple rate problems, & distance rate time problems 2:21 26 Solving word problems and story problems with percentages 1:38 27 Solving word problems with percent 2:02 28 Solving word problems with percent change 3:29 Total Time of videos in this Chapter = 55:56

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## Algebra 1: BeginningAlgebra Test PrepChapter 3: Graphing

E Example titles for Ch 3: Graphing Time Note 1 Graphing equations 2:35 3.1 Reading Graphs and the Rectangular Coordinate System 2 Graphing linear equations 1:49 3.2 Graphing Linear Equations 3 Graphing linear equations in 2 variables 2:08 3.3 Intercepts 4 Graphing a linear equation in 2 variables 1:35 3.4 Slope and Rate of Change 5 Graphing x equals a constant 1:15 3.5 Equations of Lines 6 Find the slope of a line given two points 0:57 3.6 Functions 7 Find the slope of a linear equation given two points 0:37 8 Find the slope of a straight line given two points 0:35 9 Find the slope with slope-intercept form 1:05 10 Find the slope of the line x equals a constant 0:56 11 Find slope and y-intercept of a linear equation with slope-intercept form 1:23 12 Are given lines parallel, perpendicular or niether 1:27 13 Write a line equation through a given point and slope 2:09 14 Write a line equation through given points 2:20 15 Write a line equation through two given points 1:58 16 Write a line equation through a given point & parallel to a given line 1:04 17 Write a line equation given slope and y-intercept (with point slope form) 1:49 18 Determine if a graph is a function with the vertical line test 0:30 19 Use the vertical line test to determine if a graph is a function 0:31 20 Calculate sample values of a function for a table of ordered pair solutions 1:57 21 Find the domain of a function and in interval notation 1:32 22 Find the x-intercept, y-intercept, domain and range of a graph 2:33 23 Find the x-intercept, y-intercept, domain and range of the graph of a line 2:03 24 Write the ordered pair represented by given function and variable values 0:30 25 Estimate based on bar graph data 0:53 26 Estitmate average use based on bar graph data 0:47 27 Use broken line graph to estimate the highest average temperature 0:54 28 Use a broken line graph to estimate average high temperature 0:48 29 Use a broken line graph to determine which months are below a given temperature 1:18 30 Write table data as a set of ordered pairs and create scatter diagram (and label) 2:22 31 Find slope from graph data & write linear approximation equation 6:26 Total Time of videos in this Chapter = 48:46

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## Algebra 1: BeginningAlgebra Test PrepChapter 4: Solving Systems of Linear Equations and Inequalities

E Example titles for Ch 4: Solving Systems of Linear Equations and Inequalities Time Note 1 How many solutions can a system of two linear equations in two variables have 1:15 4.1 Solving Systems of Linear Equations by Graphing 2 Can an ordered pair not a solution of equation A be a solution of system A + B 0:24 4.2 Solving Systems of Linear Equations by Substitution 3 Determine if a system of equations has no solution 0:20 4.3 Solving Systems of Linear Equations by Addition 4 Determining if a system of equations has no solution 0:28 4.4 Systems of Linear Equations and Problem Solving 5 Determining if a given ordered pair is a solution to a system of equations 1:27 4.5 Graphing Linear Inequalities 6 Determine if a given ordered pair is a solution to a system of equations 1:38 4.6 Systems of Linear Inequalities 7 Solve a system of linear equations by graphing 2:23 8 Solve a system of linear equations in 2 variabes by graphing 2:02 9 Solve a system of equations by substitution method 3:38 10 Solve the system of equations by substitution method 2:42 11 Solve a system of linear equations by addition method 2:09 12 Solve a system of linear equations by addition method AKA eliminataion method 1:59 13 Solve the system of linear equations by addition method AKA eliminataion method 2:37 14 Solve a system of linear equations by substitution method 2:39 15 Solve the system of linear equations by addition method 4:35 16 Solve the system of linear equations by substitution method 1:58 17 Solve a system of linear equations via addition method, first clearing decimals 3:12 18 Solve a system of linear equations by substitution method, clearing fractions 2:20 19 Solve word problems by translating into a system of linear equations 1:50 20 Solve mixture problems by translating into a system of linear equations 2:46 21 Solve word problems on farms by translating into a system of linear equations 3:21 22 Solve rate problem word problems by translating into a system of equations 3:02 23 Graph an inequality 3:42 24 Graph a linear inequality 3:23 25 Graph a linear inequality in 2 variables 2:16 26 Graph the solution region of a system of inequalities 1:47 27 Graph the solution region of a system of linear inequalities 1:55 Total Time of videos in this Chapter = 1:01:48

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## Algebra 1: BeginningAlgebra Test PrepChapter 5: Exponents and Polynomials

E Example titles for Ch 5: Exponents and Polynomials Time Note 1 Calculate the value of a simple exponential expression 0:25 5.1 Exponents 2 Calculate the value of a simple exponential expression with negative numbers 0:31 5.2 Adding and Subtracting Polynomials 3 Very important aspect of Order of operations as it applies to exponents 0:35 5.3 Multiplying Polynomials 4 Calculate the value of a simple exponential expression with negative exponents 0:37 5.4 Special Products 5 Simplify exponential expressions 0:32 5.5 Negative Exponents and Scientific Notation 6 Simplify an exponential expression with fractions 0:17 5.6 Dividing Polynomials 7 Simplify an exponential expression with negative exponents and fractions 0:40 8 Simplify exponential expessions with fractions, exponents, and parentheses 1:28 9 Simplify expression with fractions, positive & negative exponents 1:41 10 Write a large number in scientific notation 0:41 11 Write decimal number in scientific notation 0:42 12 Write a number in scientific notation in standard form 0:42 13 Convert scientific notation to standard form 0:35 14 Multiplication with scientific notation and express in standard form 1:23 15 Numerical coefficients of terms and degree of polynomials 1:25 16 Simplify polynomials 0:48 17 Adding polynomials 1:33 18 Subtracting polynomials 2:02 19 Adding and subtracting polynomials 1:46 20 Multiplication with a binomial and a trinomial 2:12 21 Multiplication of a monomial by a trinomial 0:55 22 Multiplication of a binomial by a binomial 1:08 23 Multiplication of a binomial with a binomial 1:23 24 Squaring a binomial 1:27 25 Squaring a binomial and multiplication of a binomial by a binomial 1:40 26 Multiplying a binomial by a binomial and the sum & difference of squares 1:23 27 Create a table of ordered pair solutions for a polynomial function 1:49 28 Find table top area 2:43 29 Division of polynomials by a monomial with fractions 2:08 30 Division of polynomials by a binomial with long division 1:44 31 Division of polynomials by a binomial with long division 3:39 Total Time of videos in this Chapter = 40:34

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## Algebra 1: BeginningAlgebra Test PrepChapter 6: Factoring Polynomials

E Example titles for Ch 6: Factoring Polynomials Time Note 1 Factoring polynomials 1:54 6.1 The Greatest Common Factor and Factoring by Grouping 2 Factoring polynomials with a difference of squares 1:18 6.2 Factoring Trinomials of the Form x2 + bx + c 3 Factoring polynomials by trial and error 1:25 6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomial 4 Factoring polynomials by grouping 1:09 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 5 Factoring the sum of two squares 0:59 6.5 Factoring Binomials 6 Factor a polynomial by trial and error 1:09 6.6 Solving Quadratic Equations by Factoring 7 Factor the polynomial by trial and error 1:15 6.7 Quadratic Equations and Problems Solving 8 Compare factor by trial and error and factor by grouping 4:24 9 Factoring polynomials with four terms with factor by grouping 1:54 10 Factoring trinomials by both trial and error method and factor by grouping 3:21 11 Factoring a polynomial by trial and error 1:10 12 Factoring binomials and a difference of squares 1:03 13 Factor by both trial and error method then factor by grouping 3:42 14 Factor by grouping a four term polynomial 1:33 15 Factoring binomials and the difference of squares 1:25 16 Factoring binomials by writing a sum as a product 1:14 17 Factoring binomials with a difference of cubes 2:00 18 Difference of cubes 1:33 19 Solving equations 1:31 20 Solving equations by factoring 1:29 21 Solving quadratic equations by factoring 1:55 22 Solving cubic equations by factoring 1:43 23 Solving cubic equations with a polynomial on one side by factoring 1:39 24 Solving equations by factoring with the zero factor theorem 1:16 25 Solving quadratic equations by factoring with the zero factor theorem 1:42 26 Find height of a triangle given the area and relation of length & height 2:21 27 Solving word problems on related numbers 3:07 28 Solving word problems for when an object falls to the ground 2:01 29 Solve a word problem on triangles with related numbers 4:03 Total Time of videos in this Chapter = 55:15

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## Algebra 1: BeginningAlgebra Test PrepChapter 7: Rational Expressions

E Example titles for Ch 7: Rational Expressions Time Note 1 Find the domain 1:14 7.1 Simplifying Rational Expressions 2 Given a formula, calculate 2:01 7.2 Multiplying and Dividing Rational Expressions 3 Simplify rational expressions 1:09 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators 4 Simplify rational expression 1:05 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 5 Simplify rational expressions with a sum of cubes 1:48 7.5 Solving Equations Containing Rational Expressions 6 Simplify rational expressions with a common factor in the numerator 2:08 7.6 Proportion and Problem Solving with Rational Equations 7 Simplify rational expressions with factoring by grouping 2:41 7.7 Variation and Problem Solving 8 Simplify rational expressions with opposite factors 2:08 7.8 Simplifying Complex Fractions 9 Multiplying and simplifying rational expressions 1:47 10 Multiply and simplify rational expressions 1:55 11 Subtracting rational expressions 1:59 12 Subtracting and rational expressions 3:10 13 Subtract rational expressions 3:06 14 Dividing rational expressions 3:29 15 Adding rational expressions 3:27 16 Solving equations 2:46 17 Solving equations with rational expressions by cross multiplying 1:50 18 Solving equations with rational expressions with LCD 3:05 19 Solving equations with rational terms with LCD 3:38 20 Solving rational equations 4:58 21 Simplifying complex fractions 2:11 22 Simplifying rational expressions with complex fractions 2:17 23 Simplifying complex fractions or complex fractions 2:55 24 Direct proportionality 1:21 25 Inverse proportionality 1:32 26 Word problems on proportions relating ratios 1:37 27 Word problems on related numbers 2:39 28 Word problems on rate problems about boats 2:22 29 Word problems on rate problems about work or pipes 2:40 30 Word problems on similar triangles 0:54 Total Time of videos in this Chapter = 1:09:52

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## Algebra 1: BeginningAlgebra Test PrepChapter 8: Roots and Radicals

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