Helpful Videos, Mathematics, Videos,


Chapter 1

1 Number sets 1: http://www.khanacademy.org/video/number-sets-1?playlist=Algebra+I+Worked+Examples
2 Number sets 2: http://www.khanacademy.org/video/number-sets-2?playlist=Algebra+I+Worked+Examples
3 Number sets 3: http://www.khanacademy.org/video/number-sets-3?playlist=Algebra+I+Worked+Examples

 

Chapter 2

1 Example of solving for a variable: http://www.khanacademy.org/video/example-of-solving-for-a-variable?playlist=Algebra+I+Worked+Examples
2 Solving for a variable: http://www.khanacademy.org/video/solving-for-a-variable-2?playlist=Algebra+I+Worked+Examples
3 Interpreting inequalities: http://www.khanacademy.org/video/interpreting-inequalities?playlist=Algebra+I+Worked+Examples
4 Inequalities: http://w9ww.khanacademy.org/video/inequalities?playlist=Algebra+I+Worked+Examples
5 Solving linear equations: http://www.khanacademy.org/video/solving-equations-1?playlist=Algebra+I+Worked+Examples
6 Solving linear equations: http://www.khanacademy.org/video/solving-equations-2?playlist=Algebra+I+Worked+Examples
7 Solving linear equations with distributive property: http://www.khanacademy.org/video/solving-equations-with-the-distributive-property?playlist=Algebra+I+Worked+Examples
8 Solving linear equations with distributive property: http://www.khanacademy.org/video/solving-equations-with-the-distributive-property-2?playlist=Algebra+I+Worked+Examples

 More helpful videos in learning how to solve inequalities.
9 http://www.khanacademy.org/video/simple-equations?playlist=Algebra
10 http://www.khanacademy.org/video/equations-2?playlist=Algebra
11 http://www.khanacademy.org/video/equations-3?playlist=Algebra
14 http://www.khanacademy.org/video/multi-step-equations?playlist=ck12.org%20Algebra%201%20Examples
15 http://www.khanacademy.org/video/equations-with-variables-on-both-sides?playlist=ck12.org%20Algebra%201%20Examples
16 http://www.khanacademy.org/video/word-problem-solving-4?playlist=ck12.org%20Algebra%201%20Examples

Here are some examples on how to solve certain word problems
A http://www.purplemath.com/modules/distance.htm
B http://www.purplemath.com/modules/mixture.htm
C http://www.purplemath.com/modules/perimetr.htm
D http://www.purplemath.com/modules/percntof.htm

Guidelines for solving a word problem:
1 Read the problem carefully.  Find out what is being asked for.
2 Write down all the information that is known including units (such as gallons, miles, seconds, etc.).
3 Determine what is unknown and label clearly including units.  For example, x = the distance traveled in miles and t = time it took to travel the distance in hours.
4 Draw a diagram whenever possible and label it with all the information known with numerical values and unknown with variables.
5 Translate the English sentence into an algebraic equation noting “key” words.
a Words indicating addition: add, sum, (a number) more than (another number)
b Words indicating subtraction: subtract, difference, (a number) less than (another number)
c Words indicating multiplication: times, multiplied by, (a number) of (another number), twice, double, the product of
d Words indicating division: divided by, the quotient of
e Words indicating > or <:  (a number or expression) is more than (another number or expression), (a number or expression) is greater than (another number or expression), (a number or expression) is less than (another number or expression), (a number or expression) is more than or equal to (another number or expression), (a number or expression) is less than or equal to (another number or expression)
For example, the phrase “a number is two greater than three times another number” can be translated into an algebraic equation as x = 2 + 3y.

 

Chapter 3

1 Systems of Equations and Inequalities: https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/algebraic-word-problem

 

Chapter 4

1 Introduction to Exponents: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents/v/introduction-to-exponents
2 The World of Exponents: https://www.khanacademy.org/math/arithmetic/exponents-radicals/world-of-exponents/v/introduction-to-exponents
3 Exponents with Negative Bases: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers/cc-7th-exponents-negative-base/v/exponents-with-negative-bases
4 Positive and Negative Exponents: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents/v/introduction-to-exponents
5 Properties of Integer Exponents: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/introduction-to-negative-exponents
6 Polynomial Basics: https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/polynomial_basics/v/terms-coefficients-and-exponents-in-a-polynomial
7 Adding and Multiplying Polynomials: https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/polynomial_tutorial/v/terms-coefficients-and-exponents-in-a-polynomial
8 Multiplying Monomials, Binomials, and Polynomials: https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying_polynomials/v/multiplying-monomials-by-polynomials
9 Dividing Polynomials: https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/dividing_polynomials/v/polynomial-division

 

Chapter 5

1 Factoring by grouping: https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-by-grouping/v/factor-by-grouping-and-factoring-completely
2 Factoring quadratics: https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-quadratic-expressions
3 Factoring quadratics in two variables: https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratics-in-two-vari/v/factoring-quadratics-with-two-variables
4 Factoring simple expressions: https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/Factoring-simple-expressions/v/factoring-and-the-distributive-property-3
5 Solving quadratics by factoring: https://www.khanacademy.org/math/algebra/quadratics/factoring_quadratics/v/Example%201:%20Solving%20a%20quadratic%20equation%20by%20factoring
6 Factoring quadratic expressions: https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/v/factoring-quadratic-expressions

 

 Chapter 6

1 Simplifying rational expressions: http://www.khanacademy.org/video/simplifying-rational-expressions-1?playlist=Algebra+I+Worked+Examples
2 Simplifying rational expressions: http://www.khanacademy.org/video/simplifying-rational-expressions-2?playlist=Algebra+I+Worked+Examples
3 Simplifying rational expressions: http://www.khanacademy.org/video/simplifying-rational-expressions-3?playlist=Algebra+I+Worked+Examples
4 Multiplying and dividing rational expressions: http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-1?playlist=Algebra+I+Worked+Examples
5 Multiplying and dividing rational expressions: http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-2?playlist=Algebra+I+Worked+Examples
6 Multiplying and dividing rational expressions: http://www.khanacademy.org/video/multiplying-and-dividing-rational-expressions-3?playlist=Algebra+I+Worked+Examples
7 adding and subtracting rational expressions: http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-2?playlist=Algebra+I+Worked+Examples
8 adding and subtracting rational expressions: http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-3?playlist=Algebra+I+Worked+Examples
9 solving rational equations: http://www.khanacademy.org/video/solving-rational-equations-2?playlist=Algebra+I+Worked+Examples
10 solving rational equations: http://www.khanacademy.org/video/solving-rational-equations-3?playlist=Algebra+I+Worked+Examples

 

Chapter 7

1 Domain of a function: http://www.khanacademy.org/video/domain-of-a-function?playlist=Algebra
2 Exploring linear relationships: http://www.khanacademy.org/video/exploring-linear-relationships?playlist=Algebra+I+Worked+Examples
3 Recognizing linear functions: http://www.khanacademy.org/video/recognizing-linear-functions?playlist=Algebra+I+Worked+Examples
4 Slope and y-intercept intuition: http://www.khanacademy.org/video/slope-and-y-intercept-intuition?playlist=Algebra
5 Slope of a line: http://www.khanacademy.org/video/slope-of-a-line?playlist=Algebra+I+Worked+Examples
6 Slope example: http://www.khanacademy.org/video/slope-example?playlist=Algebra+I+Worked+Examples
7 X-intercepts and y-intercepts: http://www.khanacademy.org/video/x-and-y-intercepts-2?playlist=Algebra+I+Worked+Examples
8 Graphing a line in a slope-intercept form: http://www.khanacademy.org/video/graphing-a-line-in-slope-intercept-form?playlist=Algebra+I+Worked+Examples
10 Equation of a line: http://www.khanacademy.org/video/equation-of-a-line-2?playlist=Algebra+I+Worked+Examples
11 Converting to slope-intercept form: http://www.khanacademy.org/video/converting-to-slope-intercept-form?playlist=Algebra+I+Worked+Examples
12 Point-slope and standard form: http://www.khanacademy.org/video/point-slope-and-standard-form?playlist=Algebra+I+Worked+Examples
13 Solving linear equations: http://www.khanacademy.org/video/solving-equations-1?playlist=Algebra+I+Worked+Examples
14 Solving linear equations: http://www.khanacademy.org/video/solving-equations-2?playlist=Algebra+I+Worked+Examples
15 Solving linear equations with distributive property: http://www.khanacademy.org/video/solving-equations-with-the-distributive-property?playlist=Algebra+I+Worked+Examples
16 Solving linear equations with distributive property: http://www.khanacademy.org/video/solving-equations-with-the-distributive-property-2?playlist=Algebra+I+Worked+Examples