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Practice the questions given in the worksheet on linear equation in one variable.
I. Solve the following equations and check the result:
1. 2x β 6 = 0
2. 7x β 2 = 8 - x
3. 8 β 2x = 5 β 4x
4. 4 + 3x = 2 β 2x
5. 2(x β 1) + 2(3x -1) = 0
6. 4(x-1) β(2x β 5) = 4
7. 2x β 23 = 34 β x
8. x2 β 2= 4 + 14
9. x9 + x3 = 19
10. 3x + 2(x+2) = 10 β (2x β 5)
11. 10(y β 4) β 2(y β 9) β 5(y + 4) = 0
12. 2m+53 = 3m - 5
13. 6(3x + 2) β 5(6x β 1) = 2(x β 8) β 5(7x β 6) + 8x
14. t β (2t +5) β (1- 2t) = (3 + 4t) β 2(t - 4)
15. 2x3 = 3x4 + 712
16. 3xβ15 - x15 =3
17. 2x β 3 = 310 x (5x β 10)
18. 2yβ13 - yβ24 = 1
19. xβ29 + 13 = x - 2xβ13
20. 2xβ13 - 2xβ25 = 13
21. y+715 = 1 + 3yβ25
22. 2xβ187 + x3 = 2
23. 2xβ35 + x+34 = 4x+14
24. 21xβ34 β (2x - 1βx2) = x + 52
25. x+26 β (11βx3- 14) = 3xβ49
26. 9x+72 β (x - xβ212 = 24
27. 0.5x +x3 = 0.25x + 6
28. 0.18(5x β 4) = 0.5x + 0.6
29. 2.4(3 β x) β 0.3(2x β 3) = 0
30. 0.5x β (0.6 β 0.2x) = 0.2 β 0.3x
31. x+2xβ2 = 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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