Question

Which expression is equivalent to:

25a + 5b - 13

Answer 1

The correct option is 4.

Explanation:

The given expression is

`25a+5b-13`

In option (1), the given expression is

`20a+5a+b-13`

Combine like terms.

`25a+b-13`

This expression is not equivalent to the given expression.

In option (2), the given expression is

`20(5a+5b)-13`

Using distributive property.

`100a+100b-13`

This expression is not equivalent to the given expression.

In option (3), the given expression is

`30ab-13`

This expression is not equivalent to the given expression.

In option (4), the given expression is

`5(5a+b)-13`

Using distributive property.

`25a+5b-13`

This expression is equivalent to the given expression.

Therefore correct option is 4.

Answer 2

25a + 5b - 13

5(5a + b) - 13 is your answer

using the distributive property, we can distribute 5 to all terms within the parenthesis:

5(5a + b) - 13 = 25a + 5b - 13


5(5a) = 25a
5(b) = 5b

25a + 5b - 13 = 25a + 5b - 13 (True)

hope this helps