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Simplifying Expressions Review

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  • Simplify the following using the distributive property: -2 (3x-10y+4)
    -6x+20y-8
  • Which of the following properties is being used in this line: 2x + 3 + 4x = 2x + 4x + 3
    Commutative Property of Addition
  • Simplify the following expression: 24x+5-12x
    12x+5
  • Simplify the following using the distributive property: - (x+16)
    -x-16
  • Which of the following sets of terms do not include like terms? [9x, 13x, -0.3x] [3, -1/2, 45] or [3x, 3y, 3z]
    The third set
  • Which of the following properties is being used in this line: 3(10x+5) = 30x+15
    Distributive Property
  • Simplify the following using the distributive property: 4 (x-5)
    4x-20
  • 8 (6t+2-4s)
    48t+16-32s
  • Write an equation to represent the perimeter of the shape.
    6x-2
  • Are these like terms: 9y, 9z, 9x
    NO!
  • Simplify an expression for the area of the rectangle shown below.
    32x-8
  • Write an equation to represent the perimeter of the shape.
    8x+8
  • Simplify the following using the distributive property: 1.5 (2x-4)
    3x-6
  • Factor the following expression: (12x+4)
    4(3x+1)
  • Simplify: 28r - 9 (2r+6)
    10r - 54
  • Simplify the following: 4.2x+0.6y+y-0.8x
    3.4x+1.6y
  • In the following expression, identify the like terms: 3x+2-3y-7
    2 and -7
  • Simplify: 2 (m+6) - 3m
    -m+12
  • Factor the following expression: (18x+27)
    9(2x+3)
  • In the following expression, identify the like terms: 2x-6-x
    2x and -x
  • Which of the following properties is being used in this line: 2x + 3 + 4x = 6x + 3
    Combining Like Terms
  • Simplify the following: 15x+3x-2y+15
    18x-2y+15
  • Simplify the following using the distributive property: 1/2 (10x-14)
    5x-7
  • Show an example of Associative Property of Mulitplication
    *Answers will vary*
  • In the following expression, identify the like terms: 19m+10-2+3m
    3m and 19m; 10 and -2
  • Write an equation to represent the perimeter of the shape.
    7x-17
  • Which of the following properties is being used in this line: (2x + 3) + 4x = 2x + (3 + 4x)
    Associative Property of Addition