Question

What is the algebraic expression for ten times the sum of negative four and a number? Then, simplify the expression.

A) 10(-4 + x)
B) 10x - 4
C) 10 ⋅ (-4x)
D) -10(4+x)

Answer 1

The correct algebraic expression for ten times the sum of negative four and a number is 10(-4 + x), which simplifies to -40 + 10x.

Step-by-step explanation:

The algebraic expression for ten times the sum of negative four and a number is written as 10(-4 + x). To simplify the expression, you distribute the 10 to both terms inside the parentheses:

1. Multiply 10 by -4 to get -40.
2. Multiply 10 by x to get 10x.
3. Combine these two results to get the simplified expression: -40 + 10x.

So, the simplified expression is -40 + 10x, which matches option A: 10(-4 + x)