Question

Select the three expressions that are equivalent to 3/5a + 10

Answer 1

Answer:

A, C and D

Step-by-step explanation:

Given

$\frac{3}{5}a + 10$

Required

Select 3 equivalent expressions

$\frac{3}{5}a + 10$

Express 3 as 2 + 1

$\frac{2 + 1}{5}a + 10$

Rewrite as:

$\frac{2a + a}{5} + 10$

Split

$\frac{2a}{5} + \frac{a}{5} + 10$ ----- Option (A)

$\frac{3}{5}a + 10$

Express 10 as 14 - 4

$\frac{3}{5}a + 14 - 4$

Rewrite as:

$14+\frac{3}{5}a - 4$ --- Option (C)

$\frac{3}{5}a + 10$

Factor out 1/5

$\frac{1}{5}(3a + 50)$ --- Option D