Question

PLS HELP FAST

Select all expressions that are equivalent to 0.75x + 0.25(x + 12.4) + (x – 2.1)

A. 2x + 1

B. x + 1


C. x + 3.1 + x + 2.1


D. x + 3.1 + x – 2.1

Answer 1

Answer: Both A.) 2x + 1 and D.) x + 3.1 + x – 2.1

Explanation:

0.75x + 0.25(x + 12.4) + (x – 2.1)

distribute 0.25 in the middle term 0.25 × 12.4 = 3.1

and "multiply by +1" the second parentheses to remove them

0.75x + 0.25x + 3.1 + x – 2.1

add the decimal coefficients 0.75x + 0.25x = 1.00x (means 1x) so: = x

x + 3.1 + x - 2.1 This is choice D an equivalent expression

simplify by combining like terms to get

2x + 1 This is choice A

Answer 2

a, b, d

Explanation: