Algebra

• What is the result of expanding 5(2m-3)?


  10m - 15
• What is the result of expanding 2m(m + 3)?

  2m² + 6m
• What is the simplified result of 5(x+7) + 3(x-2)?

  8x + 29
• How do you expand and simplify 5(x+7) + 3(x-2)?

  5x + 35 + 3x - 6
• What is the result of expanding and simplifying 2(x-4)-3(x+5)?

  • x - 23
• What is the expanded form of (x+5)(x-8)?

  x² - 3x - 40
• What are the steps to expand and simplify expressions?

  1. Distribute each term in the first parentheses.
  2. Combine like terms.
  3. Simplify the expression.
• What is the result of expanding (5x+2)(2x-3)?

  10x² - 11x - 6
• What are the results of the expansions in U3-Q2 and U3-Q3?

  • U3-Q2:
  • 5(2m-3) = 10m - 15
  • 2m(m + 3) = 2m² + 6m
  • U3-Q3:
  • 5(x+7) + 3(x-2) = 8x + 29
  • 2(x-4)-3(x+5) = -x - 23
• What are the results of the expansions in U3-Q4?

  • U3-Q4:
  • (x+5)(x-8) = x² - 3x - 40
  • (5x+2)(2x-3) = 10x² - 11x - 6
• What is a bounding interval?


  A bounded set of values that an expression or function must be within, defined by its lower and upper bounds.
• How do you create a bounding interval?


  Identify the function or expression, determine the boundaries (lower and upper bounds), and create a closed interval with the boundaries as endpoints.
• Simplifying double brackets means?


  Evaluating the expression or function inside and then simplifying the result.
• How do you simplify double brackets?


  Evaluate the inner brackets, simplify the result, and place the simplified result in the outer brackets.
• Expression for the area of a rectangle with a length of 9x and a width of 5x²


  45x³
• What is the exponent on the variable x in the expression 45x³?


  3
• What does the exponent n in xⁿ represent?


  Repeated multiplication of x by itself n times.
• Exponent


  The small number that tells us how many times to multiply a value by itself.
• x³


  x multiplied by itself three times.
• 45x³


  To evaluate this expression, multiply 45 by x × x × x.