OneStep Equations Practice Questions (original) (raw)
Last Updated : 23 Jul, 2025
Basic algebraic equations, known as one-step equations. They can be solved in one step by applying addition, subtraction, multiplication, or division. The objective is to carry out the inverse operation on both sides of the equation in order to isolate the variable. For instance, to find x in an equation like x + 5 = 12, deduct 5 from either side.
Practicing one-step equations helps students build a strong foundation for tackling more complex multi-step equations and inequalities in the future. In this article, we will discuss various practice questions related to one-step equations.
Solution of One-Step Equations
We can solve one-step equations using the inverse operation of each mathematical operation. This is discussed in detail as follows:
| **Type of Equation | **Example | **Operation to Solve | **Solution |
|---|---|---|---|
| **Addition Equations | _y + _m =_n | Subtract _m from both sides | _y = n −__m |
| **Subtraction Equations | _y − _m = _n | Add _m to both sides | _y = _n + _m |
| **Multiplication Equations | _my = _n | Divide both sides by _m | _y = __n/m_ |
| **Division Equations | _y/m = _n | Multiply both sides by _m | _y = _mn |
One-Step Equations Practice Questions with Solution
**Question 1: Solve x + 2 = 10
**Solution:
Subtract 2 from both sides:
x = 10 - 2
x = 8
**Question 2: Solve x - 5 = 18
**Solution:
Add 5 to both sides:
x = 18 + 5
x = 23
**Question 3: Solve x + 12 = 8
**Solution:
Subtract 12 from both sides:
x = 8 - 12
x = -4
**Question 4: Solve x - 8 = -5
**Solution:
Add 8 to both sides:
x = -5 + 8
x = 3
**Question 5: Solve 6x = 36
**Solution:
Divide both sides by 6:
x = 36/6
x = 6
**Question 6: Solve -5x = 45
**Solution:
Divide both sides by -5:
x = 45/-5
x = -9
**Question 7: Solve x/8 = 4
**Solution:
Multiply both sides by 8:
x = 4 x 8
x = 32
**Question 8: Solve x/-4 = 6
**Solution:
Multiply both sides by -4:
x = 6 x -4
x = -24
One-Step Equations Practice Questions
**Q1: Solve x + 6 = 10
**Q2: Solve x - 4 = 2
**Q3: Solve 5x = 30
**Q4: Solve x + 15 = 8
**Q5: Solve x/3 = 9
**Q6: Solve x - 26 = -13
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