24.5k views
4 votes
Ranger's friend, Foster, wanted to challenge him by creating this expression involving two sets of parentheses with fractions:1 3 (9x − 15) + 4(x + 1 2 ) Ranger showed his first two steps below. 1. Distribute 1 3 and 4 through the parentheses: 1 3 (9x) − 1 3 (15) + 4(x) + 4(1 2 ) 2. Find each product: 3x − 5 + 4x + 2 3. Combine like terms: What should Ranger write for step 3?

User Shaggi
by
4.3k points

2 Answers

1 vote

Answer:

7x - 3

Explanation:

User Andrew Corrigan
by
3.5k points
1 vote

Answer:

7x - 3

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Properties

Explanation:

Step 1: Define expression

1/3(9x - 15) + 4(x + 1/2)

Step 2: Simplify

  1. Distribute: 1/3(9x) - 1/3(15) + 4(x) + 4(1/2)
  2. Simplify: 3x - 5 + 4x + 2
  3. Combine like terms: 7x - 3
User Linan
by
4.3k points