Worksheet on Linear Equation in One Variable

Practice the questions given in the worksheet on linear equation in one variable.

I. Solve the following equations and check the result:

1. 2x – 6 = 0

2. 7x – 2 = 8 - x

3. 8 – 2x = 5 – 4x

4. 4 + 3x = 2 – 2x

5. 2(x – 1) + 2(3x -1) = 0

6. 4(x-1) –(2x – 5) = 4

7. 2x – \(\frac{2}{3}\) = \(\frac{3}{4}\) – x

8. \(\frac{x}{2}\) – 2= 4 + \(\frac{1}{4}\)

9. \(\frac{x}{9}\) + \(\frac{x}{3}\) = \(\frac{1}{9}\)

10. 3x + 2(x+2) = 10 – (2x – 5)

11. 10(y – 4) – 2(y – 9) – 5(y + 4) = 0

12. \(\frac{2m+5}{3}\) = 3m - 5

13. 6(3x + 2) – 5(6x – 1) = 2(x – 8) – 5(7x – 6) + 8x

14. t – (2t +5) – (1- 2t) = (3 + 4t) – 2(t - 4)

15. \(\frac{2x}{3}\) = \(\frac{3x}{4}\) + \(\frac{7}{12}\)

16. \(\frac{3x-1}{5}\) - \(\frac{x}{15}\) =3

17. 2x – 3 = \(\frac{3}{10}\) x (5x – 10)

18. \(\frac{2y – 1}{3}\) - \(\frac{y - 2}{4}\) = 1

19. \(\frac{x-2}{9}\) + \(\frac{1}{3}\) = x - \(\frac{2x - 1}{3}\)

20. \(\frac{2x - 1}{3}\) - \(\frac{2x - 2}{5}\) = \(\frac{1}{3}\)

21. \(\frac{y + 7}{15}\) = 1 + \(\frac{3y - 2}{5}\)

22. \(\frac{2x - 18}{7}\) + \(\frac{x}{3}\) = 2

23. \(\frac{2x - 3}{5}\) + \(\frac{x + 3}{4}\) = \(\frac{4x + 1}{4}\)

24. \(\frac{21x - 3}{4}\) – (2x - \(\frac{1 - x}{2}\)) = x + \(\frac{5}{2}\)

25. \(\frac{x + 2}{6}\) – (\(\frac{11 - x}{3}\)- \(\frac{1}{4}\)) = \(\frac{3x - 4}{9}\)

26. \(\frac{9x + 7}{2}\) – (x - \(\frac{x - 2}{12}\) = 24

27. 0.5x +\(\frac{x}{3}\) = 0.25x + 6

28. 0.18(5x – 4) = 0.5x + 0.6

29. 2.4(3 – x) – 0.3(2x – 3) = 0

30.  0.5x – (0.6 – 0.2x) = 0.2 – 0.3x

31. \(\frac{x + 2}{x - 2}\) = \(\frac{7}{2}\)

32. \(\frac{2x + 5}{3x + 4}\)  = 5.


II. Solve the following word problems:

1. Ten added to thrice a whole number gives 40. Find the number.

2. Four-fifths of a number is greater than three-fourths of a number by 8. Find the number.

3. The sum of two consecutive multiples of 4 is 60. Find the number.

 

Solutions:


I. 1. x = 3

2. x = 5/4

3. x = -3/2

4. x = -2/5

5. x = 1/2

6. x = 3/2

7. x = 17/36

8. x = 25/4

9. x = 1/4

10. x = 11/7

11. y = 14

12.m = 20/7

13. x = -3/13

14. t = -17

15. x = -7

16. x = 6

17. x = 0

18. y = 2

19. x = -1

20. x = 1

21. y = -1/4

22. x = 96/13

23. x = -2/7

24. x = 11/7

25. x = 113/6

26. x = 248/43

27. x = 72/7

28. x = 3.3

29. x = 2.1

30. x = 0.8

31. x = 18/5

32. x = -15/13

 

II. 1. x = 10

2. x = 160

3. 1st number = 28

2nd number = 32







9th Grade Math

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