Linear Equations Worksheet With Answers Page 9

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In questions 1-24 solve each equation:
1
1
2. −3x = 6
1. 7x = 14
3.
x = 7
4. 3x =
2
2
5. 4t = −2
8. 2t = −4
6. 2t = 4
7. 4t = 2
x
x
= −3
9.
= 3
10.
11. 7x + 2 = 9
12. 7x + 2 = 23
6
6
17
13. −7x + 1 = −6
14. −7x + 1 = −13
t = −2
16. 3 − x = 2x + 8
15.
3
x
x
13
17. x − 3 = 8 + 3x
= −2
20. −
18.
= 16
19.
x = 14
4
9
2
21. −2y = −6
22. −7y = 11
23. −69y = −690
24. −8 = −4γ.
In questions 25 - 47 solve each equation:
1
25. 3y − 8 =
26. 7t − 5 = 4t + 7
y
27. 3x + 4 = 4x + 3
2
28. 4 − 3x = 4x + 3
29. 3x + 7 = 7x + 2
30. 3(x + 7) = 7(x + 2)
31. 2x − 1 = x − 3
33. −2(x − 3) = 6
32. 2(x + 4) = 8
34. −2(x − 3) = −6
35. −3(3x − 1) = 2
36. 2 − (2t + 1) = 4(t + 2)
37. 5(m − 3) = 8
38. 5m − 3 = 5(m − 3) + 2m
39. 2(y + 1) = −8
1
3
40. 17(x − 2) + 3(x − 1) = x
(x + 3) = −9
41.
42.
= 4
3
m
5
2
44. −3x + 3 = 18
43.
=
45. 3x + 10 = 31
m
m + 1
47. x − 4 =
46. x + 4 =
8
23
49. If y = −2 find x if 4x + 5y = 3
48. If y = 2 find x if 4x + 3y = 9
50. If y = 0 find x if −4x + 10y = −8
51. If x = −3 find y if 2x + y = 8
53. If γ = 2 find β if 54 = γ − 4β
52. If y = 10 find x when 10x + 55y = 530
In questions 54-63 solve each equation:
x − 5
2x − 1
x
3x
x
x
4x
= 2x − 7
54.
= 6
55.
+
= 1
56.
+
2
3
4
2
6
2
3
x − 3
5
2
2
5
57.
=
58.
=
59.
= 4
3x − 2
x − 1
3m + 2
m + 1
x + 1
y − 3
2x − 1
x + 1
2
4x + 5
60.
= 4
61.
=
62.
= x
x − 3
y + 3
3
6
3
3
1
63.
+
= 0
2s − 1
s + 1
64. Solve the linear equation ax + b = 0 to find x
1
1
65. Solve the linear equation
=
to find x
ax + b
cx + d
Answer
9
Engineering Mathematics: Open Learning Unit Level 0
3.1: Polynomial Equations, inequalities
and partial fractions

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