Question

1.) (7.EE.1) What is the sequence of operations to simplify the expression 3(x – 8) + y + 10? Select all that apply. (6 pts) *

First Step Second Step Third Step Fourth Step Not a step in this problem
Subtract in the parenthesis; (x – 8)
Distribute the 3 to x; 3x
Distribute the 3 to y; 3y
Distribute the 3 to -8; -24
Add y + 10; 10y
Add -24 + 10; -14
Subtract in the parenthesis; (x – 8)
Distribute the 3 to x; 3x
Distribute the 3 to y; 3y
Distribute the 3 to -8; -24
Add y + 10; 10y
Add -24 + 10; -14

Thank you. :)

Answer 1

Simplify the expressions:

`3(x-8)+y+10`

Using Distributive property (i.e,
`a\cdot (b+c) = a\cdot b + a\cdot c` ) on 3(x-8) terms;

we have;

`3 \cdot x + 3 \cdot (-8) + y + 10`

3x - 24 + y +10

Here, like terms are -24 and 10.

Add like terms:

3x + y -14

The following steps in the given expression is:

First steps : Distributive the 3 to x ; 3x

Second steps: Distributive the 3 to -8 ; -24

Third steps: Add -24 + 10 ; -14

Fourth steps : 3x + y - 14

Not a step in this problems are:

Distributive the 3 to y; 3y and add y + 10; 10y