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    Questions Implemented using Suitable Components -Exercise 4.1

    Exercise 4.2

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6th class > > Exercise 4.2

Exercise 4.2

Question 1

  1. Give first the step you will use to separate the variable and then solve the equation:

(a) X – 1 = 0

X−1=0

  • Now,To isolate X we have to the number to X-1 on both sides (Step 1)
  • Since -1+1=0 (Step 2)
  • X=1 (Step 3)
  • Therefore,solution for X-1=0 is X=1 (Step 4)

(b) X + 1 = 0

X+1=0

  • Now,To isolate X we have to the number to X+1 on both sides (Step 1)
  • Since +1-1=0 (Step 2)
  • X=-1 (Step 3)
  • Therefore,solution for X+1=0 is X=-1 (Step 4)

(c) X – 1 = 5

X−1=5

  • Now,To isolate X we have to  the number to X-1 on both sides (Step 1)
  • Since -1+1=0 (Step 2)
  • X=6 (Step 3)
  • Therefore,solution for X-1=5 is X=6 (Step 4)

(d) X + 6 = 2

X+6=2

  • Now,To isolate X we have to  the number to X+6 on both sides (Step 1)
  • Since +6-6=0 (Step 2)
  • X=-4 (Step 3)
  • Therefore,solution for X+6=2 is X=-4 (Step 4)

(e) y – 4 = – 7

y – 4 = – 7

  • Now,To isolate X we have to  the number to X+4 on both sides (Step 1)
  • Since -4+4=0 (Step 2)
  • X=-3 (Step 3)
  • Therefore,solution for X+4=-7 is X=-3 (Step 4)

(f) y – 4 = 4

y – 4 = 4

  • Now,To isolate Xy we have to  the number to y-4 on both sides (Step 1)
  • Since -4+4=0 (Step 2)
  • y = 8 (Step 3)
  • Therefore,solution for y-4=4 is y=8 (Step 4)

(g) a/5=7/15

a5=715

  • Now,To isolate a we have to  the number to a/5 on both sides (Step 1)
  • Since 5 X '1/5'=1 (Step 2)
  • a = 7/3 (Step 3)
  • Therefore,solution for a/5=7/15 is a=7/3 (Step 4)

(h) y + 4 = – 4

y + 4 = - 4

  • Now,To isolate y we have to  the number to y-4 on both sides (Step 1)
  • Since +4-4=0 (Step 2)
  • y =-8 (Step 3)
  • Therefore,solution for y+4=-4 is y=-8 (Step 4)

Question 2

Give first the step you will use to separate the variable and then solve the equation:

Question 3

Give the steps you will use to separate the variable and then solve the equation:

** Give the steps you will use to separate the variable and then solve the equation:**
Given 3n – 2 = 46
To isolate n first we add on both sides
3n=48
Now divide by on both sides
n=16
The solution for 3n-6=46 is n=16
** Give the steps you will use to separate the variable and then solve the equation:**
Given 5m + 7 = 17
To isolate m first we subtract on both sides
5m=10
Now divide by on both sides
m=2
The solution for 5m+7=17 is m=2
** Give the steps you will use to separate the variable and then solve the equation:**
Given 20p3=40
To isolate p first we multiply by on both sides
20p=120
Now divide by on both sides
p=60
The solution for 20p3=40 is p=60
** Give the steps you will use to separate the variable and then solve the equation:**
Given 3p10=6
To isolate p first we multiply by on both sides
3p=60
Now divide by on both sides
p=20
The solution for 3p10=6 is 8=20

Question 4

10p = 100
10p + 10 = 100
p/4 = 5
-P/3 =5
3P/4 = 6
3S = -9
3S + 12 = 0
3S=0
2q=6
2n-6=0
2q+6=0
2m+6=12
p=20
S=0
p=-15
n=3
m=3
p=8
S=-4
p=10
q=-3
p=9
S=-3
q=3