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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 – 23 = 34 – x

8. x2 – 2= 4 + 14

9. x9 + x3 = 19

10. 3x + 2(x+2) = 10 – (2x – 5)

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

12. 2m+53 = 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. 2x3 = 3x4 + 712

16. 3x15 - x15 =3

17. 2x – 3 = 310 x (5x – 10)

18. 2y13 - y24 = 1

19. x29 + 13 = x - 2x13

20. 2x13 - 2x25 = 13

21. y+715 = 1 + 3y25

22. 2x187 + x3 = 2

23. 2x35 + x+34 = 4x+14

24. 21x34 – (2x - 1x2) = x + 52

25. x+26 – (11x3- 14) = 3x49

26. 9x+72 – (x - x212 = 24

27. 0.5x +x3 = 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. x+2x2 = 72

32. 2x+53x+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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