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Question 1
Which property is used in the following expression?

3(7 + 4) = 21 + 12
A. Commutative property of additionB. Associative property of multiplication
C. Distributive propertyD. Associative property of addition
Question 2
Which property is used in the following expression?

(4 * 3) * 5 = 3 * (5 * 4)
A. Associative property of multiplicationB. Distributive property of multiplication
C. Commutative property of additionD. Multiplicative identity property
Question 3
Simplify:

5(y + z)  =  ?
A. 5yzB. 5y + 5z
C. 5y + zD. 5z + y
Question 4
The value of any nonzero number will be changed by ________________.
A. multiplying by oneB. adding zero
C. multiplying by zeroD. dividing by one
Question 5
Which property of multiplication is shown?

(7 + 9) × 4 = 7 × 4 + 9 × 4
A. Associative propertyB. Identity property
C. Commutative propertyD. Distributive property
Question 6
Which operation will not change the value of any nonzero number?
A. multiplying by zeroB. adding one
C. multiplying by oneD. dividing by zero
Question 7
Which equation shows the zero property of multiplication?
A. 5 × 6 = 6 × 5B. 5 × 1 = 5
C. 5 + 5 + 5 = 3 × 5D. 6 × 0 = 0
Question 8
Solve:

6(y + 3 + 4)
A. 6y + 42B. 42
C. 3y + 4y + 6yD. 6y + 4
Question 9
Which equation shows the identity property of multiplication?
A. (a + b) + 3 = a + (3 + b)B. a(b + c) = ab + ac
C. a + a + a = 3 × aD. a × 1 = a
Question 10
Which equation shows the commutative property of multiplication?
A. 6 × 3 − 5 × 3 = (6 − 5)× 7B. 4 × 3 = 3 × 4
C. 4 × 3 = 4 + 4 + 4D. 4 × 1 = 4
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