Question

Which expressions are equivalent?

a) 9(6 + x) and 9.6+9.x
b) x + (89)(x+8).9 and 8.6 + x 8. x = 6
c) 6.x+3 and 6. (x+3)
d) None of the above

Answer 1

a) is the right answer because if for example x=1 then 9(6+1)= 9.7=63 and 9.6+9.1=54+9=63. That means these expressions are equivalent.

Answer 2

The expressions that are equivalent are: 9(6 + x) and 9.6+9.x, and 6.x+3 and 6. (x+3). To determine if expressions are equivalent, we can simplify and compare them.

Step-by-step explanation:

The expressions that are equivalent are:

• a) 9(6 + x) and 9.6+9.x
• c) 6.x+3 and 6. (x+3)

To determine if two expressions are equivalent, we can simplify and compare them. In both cases, we distribute the 9 and 6 respectively to both terms inside the parentheses. This results in the same expression and shows that they are equivalent.