Properties of Real Numbers Test

Question 1 of 5: Solve each problem.

What property allows us to change the order of addends in addition?
For example:
4 + 7 = 7 + 4

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Associative property of addition

Distributive property of addition

Commutative property of addition

Identity property of addition

Inverse property of addition

Question 2 of 5: Solve 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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Commutative property of multiplication

Associative property of multiplication

Distributive property of multiplication

Grouping property of multiplication

Inverse property of multiplication

Question 3 of 5: Solve 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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0, The zero property of inverses

0, The multiplicative inverse property

1, The multiplicative inverse property

1/3, The inverse property of fractions

1, The identity property of fractions

Question 4 of 5: Simplify each:

$$5x(z + 2y + 4)$$

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$$11xyz$$

$$6yz + 5x$$

$$5xz + 10xy + 20x$$

$$5x + z + 2y + 4$$

$$20xy + 10zy$$

Question 5 of 5: Factor each:

$$12x + 60$$

Finish »

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$$12(x + 5)$$

$$4(x + 15)$$

$$x + 72$$

$$3(x + 20)$$

$$48 + x$$

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