ASVAB Practice Test

Simplify the expression 3/5x + x.

1. 6/5x

2. 8/5x

3. 9/5x

4. x

The correct answer is: 8/5x

To simplify the expression \( \frac{3}{5}x + x \), it is helpful to rewrite \( x \) in a form that allows for easy addition with \( \frac{3}{5}x \). Since \( x \) can be represented as \( \frac{5}{5}x \) (this is just multiplying by 1 in the form of \( \frac{5}{5} \)), the expression now looks like: \[ \frac{3}{5}x + \frac{5}{5}x \] Now that both terms have the same denominator, you can directly add the coefficients: \[ \frac{3 + 5}{5}x = \frac{8}{5}x \] Therefore, the simplified expression is \( \frac{8}{5}x \). This answer reflects the correct addition of the fractional coefficients associated with \( x \), resulting in that final term.