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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 Number Properties CCSS: 6.EE.A.3
Which expression is equivalent to 5(a + b)?
  1. 5a + b
  2. a + 5b
  3. 5a + 5b
  4. (a + b) 5
Grade 6 Number Properties CCSS: 6.EE.A.3
Which expression results from using the Distributive Property?
[math]6(x + 4)[/math]
  1. [math]6x + 10[/math]
  2. [math]6x + 4 [/math]
  3. [math]24x[/math]
  4. [math]6x + 24[/math]
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 Algebraic Expressions CCSS: 6.EE.A.3
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Which expression is equivalent to the expression [math]4(6x - 5)[/math]?
  1. [math]24x - 20[/math]
  2. [math]10x - 9[/math]
  3. [math]2x - 1[/math]
  4. [math]10x -1[/math]
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 Algebraic Expressions CCSS: 6.EE.A.3, 6.EE.A.4
Identify an equivalent expression.
[math]3(x + y)[/math]
  1. [math]x + y[/math]
  2. [math]3x + y[/math]
  3. [math]x + 3y[/math]
  4. [math]3x + 3y[/math]

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