Question

What is the expression 4+8(3x−2)−7x when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work.(4 points)

Answer 1

To simplify the expression, we will apply the order of operations (parentheses, exponents, multiplication/division, addition/subtraction) and the distributive property.

Given expression: 4 + 8(3x - 2) - 7x

1. Distributive property:
= 4 + (8 * 3x) - (8 * 2) - 7x
= 4 + 24x - 16 - 7x

2. Combine like terms:
= (24x - 7x) + (4 - 16)
= 17x - 12

Therefore, the simplified expression is 17x - 12.