Answer:
13. 0
14. 4
15. 0
*12. 10
Step-by-step explanation:
<u>Given values of each variable:</u>
n = 2
q = -1.5
r = -3
v = -8
w = 4.5
x = 4
<u>Since all variables' values are given, the process of simplification is simple:</u>
<u />
<u>13:</u>
|-2x + 5n| + (n-x) First, plug in all known values.
|-2(4) + 5(2)| + (2 - 4) Simplify the expressions in each of the parentheses.
|-8 + 10| + (-2) Add -- Addition of a negative is subtraction.
|2| - 2 The absolute value of 2 is 2.
2 - 2 Subtract.
0
<u>14:</u>
4w - |2r + v| First, plug in all known values.
4(4.5) - |2(-3) + (-8)| Simplify the expressions in each of the parentheses.
18 - |-6 - 8| Subtract the values in the parentheses.
18 - |-14| The absolute value of -14 is 14.
18 - 14 Subtract.
4
<u>15:</u>
3|w - n| - 5|q - r| First, distribute the 3 and 5.
|3w - 3n| - |5q - 5r| Plug in all known values.
|3(4.5) - 3(2)| - |5(-1.5) - 5(-3)| Distribute--Subtraction of a negative is addition.
|13.5 - 6| - |-7.5 + 15| Simplify the expressions in each of the parentheses.
|7.5| - |7.5| The absolute value of 7.5 is 7.5.
7.5 - 7.5 Subtract.
0
8. - 11. are correct. However, 12. is 10 because you need to distribute before simplifying what's in the parentheses.
