Exploring Basic Number Properties in Algebra

Why is the distributive property more important in algebra than in arithmetic?

• Because it simplifies addition.

• Because it is used to solve equations.

• Because variables cannot be combined with numbers directly.

• Because it only applies to numbers.

What is the result of distributing 4 across the sum (2X + 3)?

• 8X + 3

• 2X + 12

• 8X + 12

• 4X + 3

How can you express 3X^2 + 6X using the distributive property in reverse?

• 3X^2 + 6X

• 3X(X + 2)

• 3(X^2 + 2X)

• X(3X + 6)

Which property states that the order of addition or multiplication does not matter?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

What is an example of the commutative property in algebra?

• 2X + 3 = 3X + 2

• 2X + 3 = 2X - 3

• 2X + 3 = 2X + 3

• 2X + 3 = 3 + 2X

Which property allows you to change the grouping of terms in addition or multiplication?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

What does the additive identity property state?

• Any number plus zero equals zero.

• Any number plus zero equals itself.

• Any number times one equals zero.

• Any number times one equals itself.

What is the result of multiplying any number or algebraic term by one?

• The number or term squared

• The same number or term

• One

• Zero

What does the inverse property of addition state?

• Anything plus its additive inverse equals zero.

• Anything plus its additive inverse equals one.

• Anything times its multiplicative inverse equals one.

• Anything times its multiplicative inverse equals zero.

What is the result of multiplying a term by its multiplicative inverse?

• Zero

• One

• The term itself

• The term squared