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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 $4(a + 2)$. 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. $(7x) + (7xx9)$
2. $63x$
3. $(7x) + (9x)$
Grade 6 Algebraic Expressions CCSS: 6.EE.A.3
Grade 6 Number Properties CCSS: 6.EE.A.3
$b * 4$ is equal to which of the following expressions?
1. $b + 4$
2. $(b + b + 4)$
3. $4 * b$
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 Order of Operations CCSS: 6.EE.A.2, 6.EE.A.2c
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

$=$

1. $4(2x + 3) = 8x + 12$
2. $4(2x - 3) = 8x - 12$
3. $8x + 12 = 4(2x + 3)$
4. $8x - 12 = 4(2x - 3)$
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

$=$
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
Grade 6 Number Properties CCSS: MP5
Grade 6 Number Properties CCSS: MP5
Grade 6 Number Properties CCSS: MP5
Write an equation for the model.

$=$
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
Write an equation for the model.

$=$
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 CCSS: MP5
Which equation represents the model?

$=$
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 CCSS: MP5
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