Simplifying Expressions with Commutative, Associative and Distributive Property

What is the simplified form of the expression 2x + 3x - 5?

• 5x - 5

• 5x + 5

• 5x - 8

• 5x - 3

Which property of real numbers states that the order of addition or multiplication does not affect the result?

• Identity property

• Commutative property

• Distributive property

• Associative property

When simplifying algebraic expressions, which property allows you to regroup terms without changing the result?

• Identity property

• Associative property

• Distributive property

• Commutative property

Which of the following is NOT a valid step when simplifying algebraic expressions?

• Apply the distributive property

• Combine like terms

• Factor completely

• Cancel out terms

Example of which property: (a + b) + c = (b + a) + c

• Commutative

• Associative

• Distributive

• Identity

Simplify the expression: 3x +2x + x

• 6x

• 6x³

• 5x

• 6

Name the property: (a + b) + c = a + (b + c)

• Commutative

• Associative

• Identity

• Distributive

Distributive property used correctly

• 5(x + 3) = 5x + 15

• 5(x + 3) = 5x + 3

• y + 3 = 3 + y

Combine like terms: 4m + 2m + 7x - 3x

• 8m - 4x

• 6m + 4x

• Already simplified

• 10mx

A matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property