Question

The three steps shown below were used to find an expression equivalent to 2/5 (15x- 30y) +10x

step 1: ?

step 2: 16x - 12y

step 3: 4(4x - 3y)

which expression could be used as step 1?

A) 2/5 (25x - 30y)
B)6x -12y +10x
C)6x - 30y +10x
D)15(x -2y) + 10x

Answer 1

The answer is B, because 6x + 10x= 16x. So, the answer would be 16x-12y, which is your second step.

Answer 2

option B is correct

Step 1.
`6x - 12y + 10x`

Explanation:

Given the expression:
`(2)/(5) (15x-30y)+10x`

Using distributive property:
`a\cdot (b+c)=a\cdot b + a\cdot c`

Apply distributive property in the given expression we get;

`6x - 12y + 10x`

Combine like terms;

`16x - 12y`

Now, factor a number means to break it up into numbers that can be multiplied together to get the original number

`4\cdot 4x - 4 \cdot 3y`

`4(4x - 3y)`

Therefore, the expression could be used step 1 as,
`6x - 12y + 10x`

Three steps are:

Step 1.
`6x - 12y + 10x`

Step 2.
`16x - 12y`

Step 3.
`4(4x - 3y)`