Question

Which is equivalent 3h + 1/2 ( 2h + 6)

B. 5h + 6
C. 7h + 12
D. 3h + h + 3
E. 3h + h + 6
F. 3h + 4h + 12

Answer 1

`D.) 3h + h + 3`

Explanation:

Let's simplify step-by-step.

`3h+12(2h+6)`

Distribute:

`=3h+(12)(2h)+(12)(6)`

`=3h+h+3`

Combine Like Terms:

`=3h+h+3\\=(3h+h)+(3)\\=4h+3`

Let's simplify step-by-step.

`3h+h+3`

Combine Like Terms:

`=3h+h+3`

`=(3h+h)+(3)\\=4h+3`

Hope this helps :)

Answer 2

D. 3h + h + 3

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

3h + 1/2(2h + 6)

Step 2: Simplify

1. Distribute 1/2: 3h + 1/2(2h) + 1/2(6)
2. Multiply: 3h + h + 3
3. Combine like terms: 4h + 3