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You can create printable tests and worksheets from these Grade 9 Number Properties questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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What is the result of applying the distributive property to $3(a+2)$?
1. $3a - 2$
2. $3a + 2$
3. $3a - 6$
4. $3a + 6$
Which property is illustrated by the equation $ax + ay = a(x + y)$?
1. commutative
2. associative
3. distributive
4. multiplicative inverse
Which equation below shows a correct use of the distributive property?
1. 2(3 + 5) = (2 + 3) x (2 + 5)
2. 2(3 + 5) = (2 x 3) + 5
3. 2(3 + 5) = 2(5 + 3)
4. 2(3 + 5) = (2 x 3) + (2 x 5)
Which equation below shows a correct use of the multiplicative inverse property?
1. 3 x 1 = 3
2. 3 x 1 = 1 x 3
3. 3 x (1 + 2) = 3 x 3
4. 3 x 1/3 = 1
Which of the following is an example of the distributive property?
1. 10 x 1 = 10
2. 3(4 + 2) = 3(4) + 3(2)
3. 8 + 7 = 7 + 8
4. 2 x 0 = 0
Name the property that is shown:

$6*7*b=7*b*6$
1. The Commutative Property of Multiplication
2. The Associative Property of Multiplication
3. Both
4. Neither
Name the property shown:
$(4*6)*c=4*(6*c)$
1. The Commutative Property of Multiplication
2. The Associative Property of Multiplication
3. Both
4. Neither
Which equation below shows a correct use of the commutative property?
1. x + y = y + x
2. x + (y + z) = (x + y) + z
3. xy - xz = x(y - z)
4. x + y + z = xyz
Which property is demonstrated by the equation $1+(3c+a)=(1+3c)+a$ ?
1. Transitive property
2. Associative property
3. Commutative property
4. Reflexive property
Grade 9 Number Properties CCSS: HSA-REI.B.3
2(3x - 6) = 3(2x - 4)
1. x = 0
2. No solution
3. Identity
4. x = -12
5. None of the above
Which of the following is an example of the Closure Property of Addition for the set of whole numbers?
1. 3 + 92 = 95
2. (2 + 4) + 5 = 2 + (4 + 5)
3. 4 x 6 = 24
4. If 3 x 7 = 21 and 21= a, then 3 x 7 = a
Which equation below shows a correct use of the associative property?
1. (a + b) + c = a + (b + c)
2. a + b = b + a
3. 2(a + b) = 2a + 2b
4. ab = ba
Which of the following is an example of the Associative Property of Addition?
1. u + v + w = u + w + v
2. xy = yx
3. 2 + (r + s) = (2 + r) + s
4. t + 0 = t
5. None of the above.
If $a=b$, then $ac=bc$.
1. Substitution property
2. Multiplication property
3. Subtraction property
If $a=b$ then $a+c=b+c$.