Question

RSM HW HELP!!! PLEASE HELP ME ASAP!!!! I WILL GIVE BRAINLIEST IF YOU SOLVE THEM ALL CORRECTLY!!! THANKS!
Find the numerical values of the following expressions:
a) | 3 | a | +5 | b | if a=−2; b=−1
b) |2x−3y| if x=0.5; y=−0.7
c)| 4 | a | +8−a | if a=−2
d) |−3 | x | +2x−1 | if x=−5

Answer 1

b)

|2x−3y| if x=0.5; y=−0.7

Substitute: |2(0.5)-3(-0.7)|

Simplify: |1+2.1|

Simplify: |3.1|

Since it is an absolute value, it will always be positive: 3.1

d)

|−3 |x| +2x−1| if x=−5

Substitute: |-3(|-5|)+2(-5)-1|

Absolute value is positive: |-3(5)+5(-5)-1|

Simplify: |-15-25-1|

Simplify: |-41|

Absolute value always positive: 41

Answer 2

Answer for the first question:

$a)3a+5b~,when~a=-2;b=-1$

$=(3)(-2)+(5)(-1)$

$=-11$

Answer for the second question:

$b)2x-3y~,when~x=0.5;y=-0.7$

$=(2)(0.5)-(3)(-0.7)$

$=3.1$

Answer for the third question:

$c)4a+8-a,~when~a=-2$

$=(4)(-2)+8-(-2)$

$=2$

Answer for the fourth question:

$d)-3x+2x-1,~when~x=-5$

$=(-3)(-5)+(2)(-5)-1$

$=4$