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Sixth Grade (Grade 6) Number Properties Questions

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Grade 6 Number Properties CCSS: 6.EE.A.3
7(n + 5) = (7 x 4) + (7 x 5)
  1. n = 40
  2. n = 32
  3. n = 13
  4. n = 4
Grade 6 Number Properties
Which equation is an example of the identity property of multiplication?
  1. 6 x (2 x 3) = (6 x 2) x 3
  2. 540 x 4 = 4 x 540
  3. 1 x 123 = 123
  4. 6 (16 + 4) = (6 x 16) + (6 x 4)
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite RectangleWhite RectangleWhite Rectangle=White Unit SquareWhite Unit SquareWhite Rectangle White Unit SquareWhite Unit SquareWhite Rectangle White Unit SquareWhite Unit SquareWhite Rectangle
  1. 6+3x=3(2-x)
  2. 6-3x=3(2+x)
  3. 6+3x=3(2+x)
  4. 6-3x=3(2-x)
Grade 6 Number Properties CCSS: MP5
Which equation represents the model?

White RectangleWhite Unit Square White RectangleWhite Unit Square=White RectangleWhite RectangleWhite Unit SquareWhite Unit Square
  1. (x+1)=2x
  2. 2(x+1)=2x+2
  3. (x+1)(x+1)=2(x+1)
  4. 2(x+1)(x+1)=4x+2
Grade 6 Number Properties
Which of the following is an example of the Multiplication Property of Zero?
  1. 4 + 0 = 4
  2. 4 x 6 = 6 x 4
  3. 5 x 3 = 15
  4. 4 x 0 = 0
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

White RectangleWhite RectangleWhite Unit SquareWhite RectangleWhite RectangleWhite Unit SquareWhite RectangleWhite RectangleWhite Unit Square=White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Unit SquareWhite Unit SquareWhite Unit Square
  1. 3(x+1)=9x
  2. 3(2x+1)=9x
  3. 3(x+1)=6x+3
  4. 3(2x+1)=6x+3
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

White Rectangle4 Black Unit Squares White Rectangle4 Black Unit Squares White Rectangle4 Black Unit Squares=White RectangleWhite RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares
  1. 3(x-4)=3x-12
  2. 3(x+4)=3x+12
  3. 3(x-12)=3x-12
  4. 3(x+12)=3x+12
Grade 6 Number Properties
The                                        states that changing the grouping of the terms in an addition problem does not change the sum. Ex: (a+b)+c=a+(b+c)
  1. Commutative Property of Multiplication
  2. Associative Property of Multiplication
  3. Order of operations
  4. Associative Property of Addition
Grade 6 Number Properties
Which states that changing the grouping of the factors in a multiplication statement does not change the product? Ex: (a×b)×c=a×(b×c)
  1. Commutative Property of Addition
  2. Associative Property of Multiplication
  3. Order of Operations
  4. Equivalent Expressions
Grade 6 Number Properties
Choose the property described below.

if3x=8andy=8,  then  3x=y
  1. Reflexive Property of Equality
  2. Symmetric Property of Equality
  3. Transitive Property of Equality
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