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Common Core Standard 6.EE.A.3 Questions

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

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Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
8(p - 3q)
  1. 8p + 24q
  2. 8p + 3q
  3. 8p - 3q
  4. 8p - 24q
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3, MP3
Lucy must write an equivalent expression for [math]4(a + 2)[/math]. She uses the distributive property and writes the expression [math]4a + 2[/math].

Which statement best describes Lucy's equivalent expression.
  1. Lucy's expression is correct.
  2. Lucy's expression is incorrect because she did not multiply the 2 by the 4.
  3. Lucy's expression is incorrect because she should have added the 4 and the [math]a[/math].
  4. Lucy's expression is incorrect because she used the commutative property instead of the distributive property.
Grade 6 Number Properties CCSS: 6.EE.A.3
Using the distributive property, what is [math]7(x + 9)[/math] equal to?
  1. [math](7x) + (7xx9)[/math]
  2. [math]63x[/math]
  3. [math](7x) + (9x)[/math]
Grade 6 Number Properties CCSS: 6.EE.A.3
[math]b * 4[/math] is equal to which of the following expressions?
  1. [math]b + 4[/math]
  2. [math](b + b + 4)[/math]
  3. [math]4 * b[/math]
  4. [math]b - 4[/math]
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Find the equivalent of [math]p (q-r).[/math]
  1. [math](p)(q) - (r)[/math]
  2. [math](pq)(-r)[/math]
  3. [math](p)(q)(r)[/math]
  4. [math](p)(q) - (p)(r)[/math]
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
[math]4(x+7)[/math]
  1. [math]4x+28[/math]
  2. [math]21[/math]
  3. [math]-4x-28[/math]
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Find the equivalent of [math]a (b-c)[/math].
  1. [math](a)(b)-(c)[/math]
  2. [math](ab)(-c)[/math]
  3. [math](a)(b)(c)[/math]
  4. [math](a)(b)-(a)(c)[/math]
Grade 6 Number Properties CCSS: 6.EE.A.3, MP5
Write an equation for the model.

White RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares[math]=[/math]

White RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit SquareWhite RectangleWhite RectangleBlack Unit SquareBlack Unit SquareBlack Unit Square
  1. [math]4(2x + 3) = 8x + 12[/math]
  2. [math]4(2x - 3) = 8x - 12[/math]
  3. [math]8x + 12 = 4(2x + 3)[/math]
  4. [math]8x - 12 = 4(2x - 3)[/math]
Grade 6 Number Properties CCSS: 6.EE.A.3, MP5
Write an equation for the model.

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

White Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite Unit SquareWhite RectangleWhite RectangleWhite Rectangle[math]=[/math]White Unit SquareWhite Unit SquareWhite Rectangle White Unit SquareWhite Unit SquareWhite Rectangle White Unit SquareWhite Unit SquareWhite Rectangle
  1. [math]6 + 3x = 3(2 - x)[/math]
  2. [math]6 - 3x = 3(2 + x)[/math]
  3. [math]6 + 3x = 3(2 + x)[/math]
  4. [math]6 - 3x = 3(2 - x)[/math]
Grade 6 Number Properties CCSS: 6.EE.A.3, MP5
Write an equation for the model.

White Rectangle4 Black Unit Squares White Rectangle4 Black Unit Squares White Rectangle4 Black Unit Squares[math]=[/math]White RectangleWhite RectangleWhite Rectangle4 Black Unit Squares4 Black Unit Squares4 Black Unit Squares
  1. [math]3(x - 4) = 3x - 12[/math]
  2. [math]3(x + 4) = 3x + 12[/math]
  3. [math]3(x - 12) = 3x - 12[/math]
  4. [math]3(x + 12) = 3x + 12[/math]
Grade 6 Number Properties CCSS: 6.EE.A.3
Write an equation for the model.

White RectangleWhite Unit Square White RectangleWhite Unit Square[math]=[/math]White RectangleWhite RectangleWhite Unit SquareWhite Unit Square
  1. [math](x + 1) = 2x[/math]
  2. [math]2(x + 1) = 2x + 2[/math]
  3. [math](x + 1)(x + 1) = 2 (x + 1)[/math]
  4. [math]2(x + 1)(x + 1) = 4x + 2[/math]
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