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Ninth Grade (Grade 9) Number Properties Questions

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Grade 9 Number Properties
If a=b, then a can be substituted for b in any equation or expression.
  1. Multiplication property
  2. Addition property
  3. Subtraction property
  4. Substitution property
  5. Division property
Grade 9 Number Properties
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
Grade 9 Number Properties
If a = b, then a - c = b - c. This is an example of which property of equality?
  1. reflexive
  2. transitive
  3. subtraction
  4. substitution
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
Grade 9 Number Properties
Which of the following is an example of the Identity Property of Addition?
  1. m + 0 = m
  2. a + b + c = a + c + b
  3. 6 + (x + y) = (6 + x) + y
  4. bf = fb
  5. None of the above.
Grade 9 Number Properties
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.
Grade 9 Number Properties
Which of the following is an example of the Commutative Property of Addition?
  1. a + (6 + v) = (a + 6) + v
  2. ps = sp
  3. 0 + b = b
  4. h + j + k = h + k + j
  5. None of the above.
Grade 9 Number Properties
What is the additive inverse of a?
  1. -a
  2. a
  3. 1/a
  4. x
Grade 9 Number Properties
The equation 3(4x)=(4x)3 illustrates which property?
  1. Commutative
  2. Associative
  3. Distributive
  4. Multiplicative inverse
Grade 9 Number Properties
Which one of the following illustrates the commutative property for addition?
  1. If a=b, then b=a
  2. a(b+c)=ab+ac
  3. a+(b+c)=a+(c+b)
  4. a+(b+c)=(a+b)+c
  5. ab=ba
Grade 9 Number Properties
Which one of the following illustrates the associative property for addition?
  1. If a=b, then b=a
  2. a(b+c)=ab+ac
  3. a+(b+c)=a+(c+b)
  4. a+(b+c)=(a+b)+c
  5. a+b=b+a
Grade 9 Number Properties
a(b-c)=ab-ac
  1. True
  2. False
Grade 9 Number Properties
ab=a⋅1b
  1. True
  2. False
Grade 9 Number Properties
Which of the following is an example of the Commutative Property of Addition?
  1. a+(6+v)=(a+6)+v
  2. ps=sp
  3. 0+b=b
  4. h+j+k=h+k+j
Grade 9 Number Properties
Which of the following is an example of the Identity Property of Addition?
  1. m+0=m
  2. a+b+c=a+c+b
  3. 6+(x+y)=(6+x)+y
  4. bf+h=bh+f
Grade 9 Number Properties
abc=a⋅1bc=ab⋅1c
  1. True
  2. False
Grade 9 Number Properties
-(-a+b)=a-b
  1. True
  2. False
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