Create New Account
Create New Account

Sign in to Innings2

or

New Account     Reset Password     

Simple Equations

    Exercise 4.2

    What Have We Discussed ?

Powered by Innings 2

Reset Progress

This will delete your progress and chat data for all chapters in this course, and cannot be undone!

Glossary

Select one of the keywords on the left…

7th class > Simple Equations > Exercise 4.2

Exercise 4.2

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

(a) x – 1 = 0

Instruction

x−1=0

  • Now, to isolate x we need to the number on both sides.
  • We get: x−1+1= 0+1
  • Thus, x =
  • Therefore, solution for x−1 = 0 is x = 1.

Instruction

(b) x + 1 = 0

x+1=0

  • Now, to isolate x: we have to the number to x+1 on both sides.
  • We get: x+1−1 = 0−1
  • Thus, x =
  • Therefore, solution for x+1=0 is x=−1

Instruction

(c) x – 1 = 5

x−1=5

  • Now,to isolate x: we need to the number on both sides.
  • We get: x−1+1 = 5+1
  • Thus, x =
  • Therefore, the solution for x−1 = 5 is x=6.

(d) x + 6 = 2

Instruction

x+6=2

  • Now, to isolate x: we need to the number on both sides.
  • We get: x+6−6=2−6
  • Thus, x =
  • Therefore, the solution for x+6=2 is x = −4.

(e) y – 4 = – 7

Instruction

y−4=−7

  • Now, to isolate x: we need to the number on both sides.
  • We get: y−4+4=−7+4
  • Thus, x =
  • Therefore, the solution for x+4=−7 is x = −3.

(f) y – 4 = 4

Instruction

y−4=4

  • Now, to isolate y: we need to the number on both sides.
  • We get: y−4+4 = 4+4
  • Thus, y =
  • Therefore, the solution for y−4= 4 is y = 8.

(g) y + 4 = 4

Instruction

y+4=4

  • Now,to isolate y we need to the number on both sides.
  • We get: y+4−4 = 4−4
  • Thus, y =
  • Therefore,the solution for y+4= 4 is y=0.

(h) y + 4 = – 4

Instruction

y+4=−4

  • Now, to isolate y we need to  the number on both sides.
  • We get: y+4−4 = −4−4
  • Thus, y =
  • Therefore, the solution for y+4 = −4 is y = −8.

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

Instruction

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

(a) 3n – 2 = 46

Instruction

To isolate n, first we add on both sides.
Thus, =
Now dividing by on both sides.
We get: n = .
The solution for 3n−2 = 46 is n = 16.

(b) 5m+7=17

Instruction

To isolate p, first we multiply by on both sides.
Thus, =
Now, divide by on both sides.
We get: p = .
The solution for 20p3=40 is p=60.

(c) 20p3=40

Instruction

Add 4 to eight times a number; you get 60.
Let the number be x.
From the question we know, x + =
Upon subtracting and dividing by on both sides and solving we get: x = .
Therefore, x = 7.

(d) 3p10=6

Instruction

To isolate p, first we multiply by on both sides.
Thus, =
Now, divide by on both sides.
We get: p =
The solution for 3p10=6 is p = 20.

Solve the following equations.

4. Solve the following equations.

Instruction

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