Question

Which expressions are equivalent to 7x – 14? Check all that apply.
1) 14 – 7x
2) x – 2
3) –(14 – 7x)
4) 7(x – 2)
5) 3x – 14 + 4x
6) 2x – 10 + 5x + 4

Answer 1

Answer:

4) 7(x-2)

Step-by-step explanation:

the expression is 7x-14.

If we take 7 common then

7x-14= 7( x - 2) {by - a*b - a*c

=a(b - c) }

hope it helps

Answer 2

Answer:

Option 4 and 5 are equivalent to 7x-14

Step-by-step explanation:

See,

In option 4 it is written that

7(x-2) =

$7 \times x - 7 \times 2$

= 7x - 14

Now in option 5

Given ,

3x - 14 + 4x

we can write this expression as -

$3 \times x + 4 \times x + - 14$

After calculation:-

= 7x - 14

So, we can see that option 4 and 5 are equivalent.