Simple Equations
SSC GD Self-Paced Course
Algebra deals with numbers and variables. A simple equation is an equation that contains one variable and can be solved using basic arithmetic operations.
General Form:
ax + b = c
x = unknown variable
a, b, c = constants
a ≠ 0
1. Solving Simple Equations
Step 1: Move constants to the other side
ax = c - b
Step 2: Divide by coefficient of x
x = (c - b) / a
Example:
Solve 3x + 5 = 20
3x = 20 - 5 = 15
x = 15 ÷ 3 = 5
2. Solving Word Problems
Translate the problem into a simple equation
Identify the unknown as a variable
Solve using basic arithmetic
Example:
If a number increased by 7 gives 15, find the number.
Let the number be x
x + 7 = 15
x = 15 - 7 = 8
3. More Examples
Example 1:
Solve 4x - 8 = 16
4x = 16 + 8 = 24
x = 24 ÷ 4 = 6
Example 2:
Solve 2x + 10 = 30
2x = 30 - 10 = 20
x = 20 ÷ 2 = 10
Practice Section
Each Q followed by its Answer (SSC style). Click on "View Answer" to check your understanding.
Q1. Solve 5x + 10 = 35
View Answer
5x = 25 ⇒ x = 5
Q2. Solve 7x - 14 = 21
View Answer
7x = 35 ⇒ x = 5
Q3. Solve 9x + 6 = 45
View Answer
9x = 39 ⇒ x = 39/9 = 4.33
Q4. Solve 4x - 8 = 16
View Answer
4x = 24 ⇒ x = 6
Q5. Solve 3x + 7 = 19
View Answer
3x = 12 ⇒ x = 4
Q6. Solve 6x - 9 = 21
View Answer
6x = 30 ⇒ x = 5
Q7. Solve 8x + 12 = 44
View Answer
8x = 32 ⇒ x = 4
Q8. Solve x + 15 = 25
View Answer
x = 25 - 15 = 10
Q9. Solve 2x - 7 = 13
View Answer
2x = 20 ⇒ x = 10
Q10. Solve 5x + 20 = 45
View Answer
5x = 25 ⇒ x = 5
Q11. Solve 10x - 15 = 35
View Answer
10x = 50 ⇒ x = 5
Q12. Solve 7x + 21 = 56
View Answer
7x = 35 ⇒ x = 5
Q13. Solve 3x - 4 = 11
View Answer
3x = 15 ⇒ x = 5
Q14. Solve 9x + 3 = 30
View Answer
9x = 27 ⇒ x = 3
Q15. Solve 4x + 5 = 21
View Answer
4x = 16 ⇒ x = 4
✅ SSC GD Exam Strategy
🟢 Practice translating word problems into equations
🟢 Master the basic solving steps for simple equations
🟢 Learn to identify key phrases like "increased by", "decreased by"
🟢 Practice mental calculations to save time
🟢 Time yourself - aim for 20-30 seconds per equation
You've completed Algebra: Simple Equations!
SSC GD Tip: Mastering simple equations is fundamental for solving more complex algebra problems. Remember the basic steps: isolate the variable by moving constants to the other side, then divide by the coefficient. Practice translating word problems into mathematical equations - this skill is crucial for the exam. Regular practice with previous year SSC GD questions will build your speed and accuracy. Pay special attention to problems involving ages, numbers, and basic arithmetic operations as they frequently appear in simple equation format.
Master Algebra for SSC GD Exam!
Join Courage Library for comprehensive SSC GD study materials and expert guidance.
Start Your SSC GD Preparation!