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Question 1 of 5Solve each problem.
What property allows us to change the order of addends in addition?
For example:
4 + 7 = 7 + 4
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A
Associative property of addition
B
Distributive property of addition
C
Commutative property of addition
D
Identity property of addition
E
Inverse property of addition
Question 2 of 5Solve each problem:
What property allows us to change the way in which we group the multiplication of three or more factors?
For example:
(3 x 5) x 6 = 3 x (5 x 6)
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Commutative property of multiplication
B
Associative property of multiplication
C
Distributive property of multiplication
D
Grouping property of multiplication
E
Inverse property of multiplication
Question 3 of 5Solve each problem:
What happens when we multiply a number by its reciprocal? What's this property known as?
For example: $$3 \cdot \frac{1}{3}=\hspace{.1em}?$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
0, The zero property of inverses
B
0, The multiplicative inverse property
C
1, The multiplicative inverse property
D
1/3, The inverse property of fractions
E
1, The identity property of fractions
Question 4 of 5Simplify each:
$$5x(z + 2y + 4)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$11xyz$$
B
$$6yz + 5x$$
C
$$5xz + 10xy + 20x$$
D
$$5x + z + 2y + 4$$
E
$$20xy + 10zy$$
Question 5 of 5Factor each:
$$12x + 60$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$12(x + 5)$$
B
$$4(x + 15)$$
C
$$x + 72$$
D
$$3(x + 20)$$
E
$$48 + x$$

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