Horje
One-Step Equations Practice Questions

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

Read More,

FAQs of One-Step Equations

What is a one step equation?

A one-step equation is an algebraic equation that can be solved in a single step using one operation, such as addition, subtraction, multiplication, or division, to isolate the variable.

How can an equation be solved in one step?

Determine the operation applied to the variable and isolate it on one side of the equation by using the inverse operation.

Is it possible to use negative values in one-step equations?

It is possible for one-step equations to have negative integers. There is no change in the method of solving.

Why are one-step equations important?

One-step equations are crucial because they provide the foundation for comprehending algebraic principles and solving more difficult equations.

Is it possible to solve one-step equations with fractions or decimals?

Fractions and decimals can both be used in one-step equations. The method of solving stays the same: isolate the variable using inverse operations.




Reffered: https://www.geeksforgeeks.org


Mathematics

Related
Two-Step Equations Practice Questions Two-Step Equations Practice Questions
Divisibility by 6 Divisibility by 6
NCERT Solutions for Class 12 Maths in Hindi | Free PDF Download NCERT Solutions for Class 12 Maths in Hindi | Free PDF Download
Bar Graph Questions with Solutions Bar Graph Questions with Solutions
How to Teach Rounding Numbers to Kids How to Teach Rounding Numbers to Kids

Type:
Geek
Category:
Coding
Sub Category:
Tutorial
Uploaded by:
Admin
Views:
16