Answer:
<em>First Option; 40,</em>
<em>Second Option; x = 3,</em>
<em>Third Option; x = - 5,</em>
<em>Fourth Option; x = 0</em>
Step-by-step explanation:
Given the expression x^2 + 3 * ( x + 4 ), where x = 4;
x^2 + 3 * ( x + 4 ) ⇒ Substitute the value of 4 in replacement of x,
( 4 )^2 + 3 * ( 4 + 4 ) ⇒ Add the terms in ( ), taking 4^2 at the same time,
16 + 3 * ( 8 ) ⇒ By PEMDAS, multiply 3 by 8 first,
16 + 24 ⇒ And now add the remaining terms,
<em>Solution; 40</em>
This next equation is given to be 5 * ( 2x - 1 ) = 25, where we must solve for x;
5 * ( 2x - 1 ) = 25 ⇒ Distribute the 5 to the terms in ( ),
10x - 5 = 25 ⇒ Add 5 on either side of the equation,
10x = 30 ⇒ Divide 10 on either side of equation,
<em>Solution; x = 3</em>
Here we must solve for the value of x provided the equation 6x + 4 - x = 2x - 11;
6x + 4 - x = 2x - 11 ⇒ Add 11 on either side,
6x + 15 - x = 2x ⇒ Add x on either side of equation,
6x + 15 = 3x ⇒ Subtract 6x on either side,
15 = - 3x ⇒ Divide 3 on either side,
<em>Solution; x = - 5 </em>
Now we are given the equation 4 - ( 3x + 4 ) = - 9x, solving for the value of x;
4 - ( 3x + 4 ) = - 9x ⇒ Distribute the - 1 to all terms in ( ),
4 - 3x - 4 = - 9x ⇒ Add 3x on either side of equation,
4 - 4 = - 6x ⇒ Subtract 4 from 4,
0 = - 6x ⇒ Divide - 6 on either side,
<em>Solution; x = 0</em>
