Question

Select all expressions that are equivalent to:

A) 40 – 3x – 10) + 7x
B)0-45 – 5x – 6
C)- 52 – 10
D)-15+ 10(3 – 4)
E) ( - 3x – 10) + ( – 3x – 10) + ( - 3x – 10) + ( – 3x – 10) + 7x"

Answer 1

None of the provided expressions are equivalent to the simplified form of expression A (40 – 3x – 10) + 7x, which is 30 + 4x after combining like terms.

Step-by-step explanation:

The student's question pertains to identifying expressions equivalent to a specific algebraic statement, which is a common task in algebra and involves applying properties of operations to simplify expressions and check for equivalence.

Starting with the original expression (A) 40 – 3x – 10) + 7x, we simplify by combining like terms, resulting in 30 + 4x.

For each other expression:

(B) 0 - 45 – 5x – 6 simplifies to -51 - 5x, which is not equivalent.

(C) - 52 – 10 simplifies to -62, which is a constant and not equivalent.

(D) -15 + 10(3 – 4) simplifies to -25, which is also a constant and not equivalent.

(E) ( - 3x – 10) + ( – 3x – 10) + ( - 3x – 10) + ( – 3x – 10) + 7x combines to -40 - 5x, which is also not equivalent.

Therefore, none of the provided options are equivalent to the simplified form of expression A, 30 + 4x.

on A.