Algebra

• What is the focus of the video?

  Year eight algebra fundamentals test preview
• What type of questions should students expect at a C level?

  Questions related to algebra fundamentals
• What is the process for simplifying equations with like terms?

  • Collect like terms
  • Multiply numbers together
  • Stack letters beside one another
  • Times signs are implied between terms
• What is the result of multiplying negative 6p by 4y?

  -24p y
• How do you handle indices when simplifying?

  Add the exponents when multiplying
• What does the square symbol represent in algebra?

  Number multiplied by itself
• What does it mean to collect like terms?

  Combine terms with the same variable
• What is the simplified form of 16 over 12?

  4 over 3
• What happens when you divide a negative by a negative?

  The result is positive
• What is the result of negative nine divided by negative eighteen?

  1 over 2
• How do you simplify the expression negative forty divided by five?

  -8
• What is the rule for collecting like terms in algebra?

  Only collect terms that are exactly the same
• What is the process for expanding expressions in algebra?

  • Multiply each term in the first bracket by each term in the second bracket
  • Keep track of negative signs
• What is the result of expanding 4(a + 5)?

  4a + 20
• What does factorizing mean in algebra?

  Finding common factors to simplify
• How do you factorize the expression 2a + 12?

  2(a + 6)
• What is the common factor in the expression 6b + 12?

  6
• What should you do if there are no common factors in an expression?

  Leave the expression as is
• What are the steps to check if factorization is correct?

  • Multiply the factors back together
  • Ensure the original expression is obtained
• What is the result of expanding negative 3(x + 5)?

  -3x - 15
• What is the result of factorizing 3d + 9?

  3(d + 3)
• How do you factorize the expression 11mc - 1?

  11mc - 1 remains unchanged
• What is the significance of the negative sign in front of a term?

  It indicates the term is subtracted
• How do you determine if two terms can be combined?

  Check if they have the same variable combination
• What is the result of expanding 2(3c - 5)?

  6c - 10
• What does it mean if a term has a coefficient of one?

  The term is simply the variable
• What is the result of factorizing 4rc - 12rc?

  4rc(1 - 3)
• How do you handle terms with different variables when simplifying?

  Do not combine them
• What is the importance of keeping track of negative signs in algebra?

  They affect the sign of the result
• What is the result of expanding negative 2(c - 3)?

  -2c + 6
• What does it mean to have a term with a negative coefficient?

  The term is subtracted from the total
• How do you factor out a common variable from an expression?

  Identify the variable in all terms
• What is the significance of the order of terms in algebraic expressions?

  It does not affect the result of multiplication
• What is the result of factorizing 6c - 18?

  6(c - 3)
• What is the process for checking the correctness of factorization?

  Multiply the factors to see if original expression matches
• What is the result of expanding 3(m + 4)?

  3m + 12
• How do you identify terms that can be combined in an expression?

  Look for identical variable combinations
• What is the result of expanding 5(x - 2)?

  5x - 10
• What does it mean if an expression is fully simplified?

  All like terms have been combined
• How do you factor out a common number from an expression?

  Identify the greatest common factor