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) *

Answer 1

Answer:

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