Combining Like Terms With and Without Distributive Property

Like terms have the same _____ and the same _____.

• variables and numbers

• signs and numbers

• variables and exponents

• variables and signs

x² can be combined with 2x²

• True

• False

Simplify:
2x (-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Solve: 3x + 2(4x - 4) = 3

Mathematical Equivalence

ON

Solve: 187 = 2x + 5(-3x + 14)

Mathematical Equivalence

ON

Solve: -11 = 6(5x + 4) + 5x

Mathematical Equivalence

ON

Solve: -8x - 8 + 3(x - 2) + 3x = 2

Mathematical Equivalence

ON

D 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

How do you combine the terms in the expression 4y + 7y?

• 11y

• 47y

• 4y7y

• 3y

What is the main purpose of combining like terms in algebra?

• To simplify expressions

• To make expressions more complex

• To change the variables

• To eliminate variables