Question

Juanita says that 3.5[4d - (2) (1.5)] and 2[7d - (5)(1.05)] are equivalent. Is Juanita correct? Explain your reasoning.

Answer 1

Yes

Explanation:

3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5

= 14d - 10.5

2*[7d - 5*1.05] = 2*7d - 2*5*1.05

= 14d - 10.5

When we are simplifying both the expression using distributive property, we get the same expression at the end.