Which Pair Shows Equivalent Expressions?
Option (b) is the correct answer as the expression 2\left(\frac{2}{5}x + 2\right) is equivalent to \frac{4}{5}x + 4 .
Let's break down each expression to determine their equivalence:
a. 2\left(\frac{2}{5}x + 2\right) = 2\left(\frac{2}{5}x\right) + 1
Expanding the left side:
The right side does not match, so option (a) is not equivalent.
b. 2\left(\frac{2}{5}x + 2\right) = \frac{4}{5}x + 4
This matches the expanded left side of option (b), so option (b) is equivalent.
c. 2\left(\frac{2}{5}x + 4\right) = \frac{4}{5}x + 8
This does not match the expanded left side of option (c), so option (c) is not equivalent.
d. 2\left(\frac{2}{5}x + 4\right) = 2\left(\frac{2}{5}x\right) + 8
Expanding the left side:
This matches the expanded left side of option (d), so option (d) is equivalent.
In summary, the equivalent pair is option (b).
The question probable maybe:
Which pair shows equivalent expressions?
a.
b.
c.
d.