Question

4.

For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.

Answer 1

a) 36

b) 8.5

c) 5/2

d) 6

e) 9

f) 8

Explanation:

a)
`x / 3 =12`

Multiply both sides by 3

`x / 3 =12\\3*(x / 3) = 12*3\\x=36`

b)
`2x+3=20`

Subtracting 3 from both sides

`2x+3-3=20-3\\2x=20-3\\2x=17\\x=(17)/(2)\\x=8.5`

c)
`(4)/(3)x=(10)/(3)`

Multiply both sides by 3/4

`(4)/(3)x*(3)/(4) =(10)/(3) *(3)/(4)\\x=(5)/(2)`

d)
`-4x=-24`

Divide both sides by -4

`-4x=-24\\(-4x)/(-4)=(-24)/(-4)\\x=6`

e)
`2(x-4)=10`

Divide both sides by 2

`2(x-4)=10\\(2(x-4))/(2)=(10)/(2)\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9`

f)
`-0.5x+1.1=-2.9`

Subtracting 1.1 on both sides

`-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\(-0.5x)/(-0.5)=(-4)/(-0.5)\\x=8`