Question

Two expressions are shown below apply the distributive property to write an expression that is equivalent to expression P explain whether or not expressions PNQ are equivalent for any value of X

Answer 1

The distributive property tells us that the sum of two or more addends multiplied by a number is equal to distributing the multiplier to each addend separately and adding the products:

The expression P is equal to 2(3x-9), using the distributive property:

2(3x-9) = 2*3x-2*9 = 6x-18

So, 6x-18 is an equivalent expression for P.

Part B:

The expression Q: 6x-9 can be factorized using common factor

6x-9 = 3(2x-3)

Both expressions are different, therefore, both equations are not equivalent for x value:

Set x = 50

For P:2(3x-9) = 2(3(50)-9) = 282

For Q: 6x-9 = 6(50)-9 =291