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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
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Which expression is equivalent to the expression 4(6x-5)?
  1. 24x-20
  2. 10x-9
  3. 2x-1
  4. 10x-1
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
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
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 4(a+2). She uses the distributive property and writes the expression 4a+2.

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 a.
  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 7(x+9) equal to?
  1. (7x)+(7×9)
  2. 63x
  3. (7x)+(9x)
Grade 6 Number Properties CCSS: 6.EE.A.3
b4 is equal to which of the following expressions?
  1. b+4
  2. (b+b+4)
  3. 4b
  4. b-4
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Find the equivalent of p(q-r).
  1. (p)(q)-(r)
  2. (pq)(-r)
  3. (p)(q)(r)
  4. (p)(q)-(p)(r)
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
4(x+7)
  1. 4x+28
  2. 21
  3. -4x-28
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Find the equivalent of a(b-c).
  1. (a)(b)-(c)
  2. (ab)(-c)
  3. (a)(b)(c)
  4. (a)(b)-(a)(c)
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3, 6.EE.A.4
Identify an equivalent expression.
3(x+y)
  1. x+y
  2. 3x+y
  3. x+3y
  4. 3x+3y

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