math 9 2nd lesson

• Perfect squares


  • 1
  • 4
  • 9
  • 16
  • 25
  • 36
• Quadratic equations


  Equations that can be solved by extracting square roots
• Solving quadratic equations by extracting square roots

  1. Get the square root of both sides

  2. If the result is a perfect square, the solution is the positive or negative square root

  3. If the result is not a perfect square, find the factors that are perfect squares, then extract the square root of the perfect square factor
• A set with no elements is an empty set, denoted by {}.
• The smallest or least number in a set is called the minimum.
• The number that is greater than all the other numbers in a set is called the maximum.
• The number of elements in a set is called its cardinality.
• Two sets A and B have equal cardinalities if there exists a one-to-one correspondence between their elements.
• If two sets have different cardinalities, we say that they are unequal.
• The largest or greatest number in a set is called the maximum.
• An ordered pair (a, b) consists of two numbers separated by a comma.
• If there is only one element in a set, it is called a singleton set.
• In an intersection, all common elements of both sets are included.
• A subset of a set A is any collection of elements contained within A.
• Quadrant I contains positive values for both coordinates.
• A coordinate plane has four quadrants labeled as I, II, III, IV.
• (x, y) is an ordered pair where x is the horizontal distance from the origin to the point on the graph and y is the vertical distance from the origin to the point on the graph.
• To find the complement of a set, subtract the given set from the universal set.