Question

Which expressions are equivalent to (76 - x - 3)? Select two options,

a) 0 - 5 / 8x - 21
b) 3 - 7(2 - 3) - 713
c) 21
d) 0(76) - 703

Answer 1

Only option (b) is equivalent to the expression (76 - x - 3) when x equals 643.

Step-by-step explanation:

The question asks which expressions are equivalent to the algebraic expression (76 - x - 3). To find the equivalent expressions, we need to simplify each option and see which ones result in 73 - x, since 76 - 3 equals 73.

• Option (a): 0 - 5 / 8x - 21 simplifies to -5/8x - 21, which is not equivalent to 73 - x.
• Option (b): 3 - 7(2 - 3) - 713 simplifies to 3 - 7(-1) - 713, which equals 73 - x when x equals 643, so this option is a possible equivalent.
• Option (d): 0(76) - 703 simplifies to 0 - 703, which further simplifies to -703 which is not equivalent to 73 - x.

Therefore, only option (b) provides an equivalent expression to (76 - x - 3) given that x equals 643.