Use the distributive property to simplify the expression.
-7(8x – 3) + x
a. x + 10
b.-15x + 4
c. -9x - 4
d. -55x + 21

Option D

Using the distributive property, -7(8x – 3) + x = -55x + 21

Solution:

Given that we have to use distributive property to simplify the given expression

Given expression is:

-7(8x – 3) + x

Let us first understand about distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property is represented as:

a(b + c) = ab + ac

Apply this property in given expression for -7(8x - 3)

Apply the above result in given expression

Combine the like terms. Add -56x and x

Thus the given expression is simplified. Option D is correct

step-by-step explanation:

total income = price of one ticket   *   number of tickets sold

  y                 =     4                                   x

so the equation is y=4x     with x≥0   because number of tickets sold can not be negative

thus the equation is a semi -line with an end point at

(0,0)

passing through :

x=1     y=4(1) = 4   so through (1,4)