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• This video is going to review all main concepts you learned in grade 9 math in under 60 minutes
• The video is divided into three parts based on the three main units in grade 9 math
• Algebra


  1. Learn about polynomials

  2. Learn how to collect like terms

  3. Learn distributive property

  4. Learn exponent laws
• Power


  The base multiplied by itself a certain number of times, where the number of times is the exponent
• Exponent laws


  • Product of powers rule
  • Quotient of powers rule
  • Power of a power rule
  • Power of a quotient rule
  • Power of a product rule
  • Anything to the power of 0 is 1
  • Negative exponent rule
• Term


  An expression in the form of a product of numbers and variables
• Polynomial


  An expression consisting of one or more terms connected by addition or subtraction
• Monomial


  A polynomial with one term
• Binomial


  A polynomial with two terms
• Trinomial


  A polynomial with three terms
• Degree of a term


  The sum of the exponents on the variables in the term
• Degree of a polynomial

  The highest degree of any term in the polynomial
• Polynomial


  A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, and non-negative integer exponents
• Polynomial


  • The degree of a polynomial is the highest exponent of any variable in the polynomial
  • The degree of a term is the sum of the exponents on the variables in that term
• Determining the degree of a term


  Add up the exponents on the variables in the term
• Determining the degree of a polynomial

  Find the degree of the highest degree term in the polynomial
• Like terms


  Terms with the same variables and exponents, differing only in their coefficients
• Collecting like terms


  Add or subtract the coefficients of like terms, keeping the variables and exponents the same
• Distributing a monomial to a polynomial


  Multiply the monomial by each term in the polynomial
• Solving linear equations


  Isolate the variable by performing the same operations to both sides of the equation
• To isolate a variable, perform the opposite operation to both sides of the equation
• Checking the solution by substituting the answer back into the original equation
• Solving equations


  1. Do it to both sides of the equation

  2. Isolate the variable

  3. Check the answer by plugging it back into the equation
• Isolating the variable


  Divide both sides by the coefficient of the variable
• Solving two-step equations


  1. Isolate the term with the variable

  2. Divide both sides by the coefficient of the variable
• Solving equations with multiple variable terms

  1. Get all the variable terms on one side of the equation

  2. Isolate the variable
• Solving equations with brackets

  1. Use the distributive property to get rid of the brackets

  2. Isolate the variable
• Solving equations with fractions

  1. Multiply both sides by the common denominator to get rid of the fractions

  2. Isolate the variable
• Cross multiplication


  Shortcut for solving fraction = fraction equations: multiply the denominator of one side by the numerator of the other side
• Solving word problems


  1. Represent each person's amount with a variable

  2. Write an equation using the given information

  3. Solve the equation to find the individual amounts
• This is the longest section of grade 9, make sure to watch the next two sections (linear relations and geometry) to learn all of grade 9 in under one hour