**Linear Equations in One Variable Class 8**

This worksheet is for **class 8 maths**, comprising **linear equations in one variable**. It will help students in developing a better understanding of algebra.

After completing this worksheet, students will be able to understand the following points:

- What is a variable?
- What is an algebraic equation?
- What is a linear equation?
- What is a linear equation in one variable?

**What is a variable?**

** **

Variable is the distinguishing characteristic or factor among different algebraic equations.

**What is an algebraic equation?**

** **

An algebraic equation is a mathematical equation that consists of multiple integer constants, algebraic operations and variables.

**What is a linear equation? What are the types of linear equations?**

** **

Linear equations are algebraic equations of degree 1. It may contain only one single variable or more than **one variable**.

If it contains only one variable (eg. – x), it is called a linear equation in one variable, if it contains two variables (eg. – x & y), it is called a linear equation in** two variables**, and so on.

Therefore, linear equations are a combination of these variables and/or constants.

However, if a linear equation is drawn on a coordinate plane, it will always be a straight line.

** **

**I. Solve the following for X:**

- 3x + 12 = 24
- (36x / 12) + (12 / 36x) = 30
- 48x = 36 + 6x
- 42x – 56 = 6x – 7
- 11x = 121x + 10
- 22x – 12 = 32 – 10x
- 30x -15 = -(1/12) + (x/2)
- 10x + 100 = 100
- 55x – (11/64x) = 12x – (3/13)
- 6x + 121 = 11x – (22/11x)

II. Ram has ₹ 32000. He spends 30% of “y” on food. If ₹ y is the cost of 10L of milk. The milk costs ₹ 32/L. Find how much did he spend on food?

III. Karn could only spend x% of the total money he had on clothes. If he spent ₹ 1000 on food, ₹ 2000 on daily necessities and ₹ 40 on chocolates and rest on clothes. If he had ₹ 5040, to begin with. Find the value of x.

**Download linear equations in one variable class 8 pdf**

**ANSWERS**

I.

- 4
- 9
- 6/7
- 49/36
- -(1/11)
- 11/8
- 179/354
- 0
- -0.005
- 121/3

II.

₹96

III.

68

Download **class 8** **questions on linear equations in one variable**

**Related Class 8 Maths **

**Factors of 48 and Pair Factors of 48**

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