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Class 8 Mathematics worksheet focusing on linear equations in one variable, from Karnataka Public School.

Worksheet on linear equations in one variable for Class 8, featuring problems to solve and step-by-step solutions.

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Show Answer Key & Explanations Step-by-step solution for: Linear equations in one variable

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1. x + 5 = 12
x = 12 - 5
x = 7

2. y - 3 = 15
y = 15 + 3
y = 18

3. 5x = 20
x = 20 ÷ 5
x = 4

4. 3x + 4 = 25
3x = 25 - 4
3x = 21
x = 21 ÷ 3
x = 7

5. 2y - 3 = 24
2y = 24 + 3
2y = 27
y = 27 ÷ 2
y = 13.5

6. t/3 = 10
t = 3 × 10
t = 30

7. 5p + 5 = 19 - 2p
5p + 2p = 19 - 5
7p = 14
p = 14 ÷ 7
p = 2

8. 3x - 4 = x + 16
3x - x = 16 + 4
2x = 20
x = 20 ÷ 2
x = 10

II. 1. The sum of three consecutive even numbers is 24, find the numbers.
Let the numbers be x, x+2, x+4.
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 24 - 6
3x = 18
x = 18 ÷ 3
x = 6
The numbers are 6, 8, 10.

Parent Tip: Review the logic above to help your child master the concept of linear equations in one variable worksheet.

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