7th Grade Algebra Worksheet Templates featuring math equations and downloadable formats.
7th Grade Algebra Worksheet Templates with math problems and download options for Google Docs and PDF formats.
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Step-by-step solution for: 13+ 7th Grade Algebra Worksheet Templates - Free Word & PDF ...
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Show Answer Key & Explanations
Step-by-step solution for: 13+ 7th Grade Algebra Worksheet Templates - Free Word & PDF ...
Here are the solutions for the algebra problems on the worksheet. I have solved each equation step-by-step to find the value of $y$.
1. $4 = y - 4$
Add 4 to both sides: $4 + 4 = y$
$y = 8$
2. $4 = y - 2$
Add 2 to both sides: $4 + 2 = y$
$y = 6$
3. $3 = y - 2$
Add 2 to both sides: $3 + 2 = y$
$y = 5$
4. $4 = y - 5$
Add 5 to both sides: $4 + 5 = y$
$y = 9$
5. $3 = 9 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 9 - 3$
$y = 6$
6. $3 = 7 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 7 - 3$
$y = 4$
7. $4 = y - 1$
Add 1 to both sides: $4 + 1 = y$
$y = 5$
8. $7 = y - 2$
Add 2 to both sides: $7 + 2 = y$
$y = 9$
9. $1 = 8 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 8 - 1$
$y = 7$
10. $2 = 3 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 3 - 2$
$y = 1$
11. $7 = y - 1$
Add 1 to both sides: $7 + 1 = y$
$y = 8$
12. $2 = 8 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 8 - 2$
$y = 6$
13. $2 = 9 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 9 - 2$
$y = 7$
14. $3 = 7 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 7 - 3$
$y = 4$
15. $8 = y - 1$
Add 1 to both sides: $8 + 1 = y$
$y = 9$
16. $3 = 4 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 4 - 3$
$y = 1$
17. $2 = 9 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 9 - 2$
$y = 7$
18. $6 = 7 - y$
Add $y$ to both sides and subtract 6 from both sides: $y = 7 - 6$
$y = 1$
19. $5 = y - 3$
Add 3 to both sides: $5 + 3 = y$
$y = 8$
20. $0 = 6 - y$
Add $y$ to both sides: $y = 6$
$y = 6$
21. $4 = y - 3$
Add 3 to both sides: $4 + 3 = y$
$y = 7$
22. $1 = 8 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 8 - 1$
$y = 7$
23. $4 = 7 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 7 - 4$
$y = 3$
24. $1 = y - 5$
Add 5 to both sides: $1 + 5 = y$
$y = 6$
25. $3 = y - 5$
Add 5 to both sides: $3 + 5 = y$
$y = 8$
26. $6 = 9 - y$
Add $y$ to both sides and subtract 6 from both sides: $y = 9 - 6$
$y = 3$
27. $2 = y - 5$
Add 5 to both sides: $2 + 5 = y$
$y = 7$
28. $0 = y - 2$
Add 2 to both sides: $0 + 2 = y$
$y = 2$
29. $5 = y - 3$
Add 3 to both sides: $5 + 3 = y$
$y = 8$
30. $5 = 7 - y$
Add $y$ to both sides and subtract 5 from both sides: $y = 7 - 5$
$y = 2$
31. $1 = 5 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 5 - 1$
$y = 4$
32. $2 = y - 2$
Add 2 to both sides: $2 + 2 = y$
$y = 4$
33. $1 = y - 2$
Add 2 to both sides: $1 + 2 = y$
$y = 3$
34. $0 = y - 7$
Add 7 to both sides: $0 + 7 = y$
$y = 7$
35. $4 = 5 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 5 - 4$
$y = 1$
36. $2 = y - 3$
Add 3 to both sides: $2 + 3 = y$
$y = 5$
37. $0 = y - 9$
Add 9 to both sides: $0 + 9 = y$
$y = 9$
38. $3 = 6 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 6 - 3$
$y = 3$
39. $2 = 8 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 8 - 2$
$y = 6$
40. $4 = 9 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 9 - 4$
$y = 5$
41. $4 = 6 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 6 - 4$
$y = 2$
42. $3 = y - 6$
Add 6 to both sides: $3 + 6 = y$
$y = 9$
43. $2 = 8 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 8 - 2$
$y = 6$
44. $1 = y - 1$
Add 1 to both sides: $1 + 1 = y$
$y = 2$
45. $5 = y - 1$
Add 1 to both sides: $5 + 1 = y$
$y = 6$
46. $2 = 6 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 6 - 2$
$y = 4$
47. $6 = y - 3$
Add 3 to both sides: $6 + 3 = y$
$y = 9$
48. $2 = 5 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 5 - 2$
$y = 3$
49. $3 = 4 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 4 - 3$
$y = 1$
50. $2 = y - 4$
Add 4 to both sides: $2 + 4 = y$
$y = 6$
51. $0 = y - 3$
Add 3 to both sides: $0 + 3 = y$
$y = 3$
52. $3 = y - 3$
Add 3 to both sides: $3 + 3 = y$
$y = 6$
53. $1 = 5 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 5 - 1$
$y = 4$
54. $8 = y - 1$
Add 1 to both sides: $8 + 1 = y$
$y = 9$
55. $1 = y - 5$
Add 5 to both sides: $1 + 5 = y$
$y = 6$
56. $4 = y - 4$
Add 4 to both sides: $4 + 4 = y$
$y = 8$
57. $7 = 8 - y$
Add $y$ to both sides and subtract 7 from both sides: $y = 8 - 7$
$y = 1$
58. $3 = 5 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 5 - 3$
$y = 2$
59. $2 = 4 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 4 - 2$
$y = 2$
60. $5 = y - 4$
Add 4 to both sides: $5 + 4 = y$
$y = 9$
61. $3 = 8 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 8 - 3$
$y = 5$
62. $0 = 5 - y$
Add $y$ to both sides: $y = 5$
$y = 5$
63. $6 = 8 - y$
Add $y$ to both sides and subtract 6 from both sides: $y = 8 - 6$
$y = 2$
64. $0 = y - 4$
Add 4 to both sides: $0 + 4 = y$
$y = 4$
Final Answer:
1. y = 8
2. y = 6
3. y = 5
4. y = 9
5. y = 6
6. y = 4
7. y = 5
8. y = 9
9. y = 7
10. y = 1
11. y = 8
12. y = 6
13. y = 7
14. y = 4
15. y = 9
16. y = 1
17. y = 7
18. y = 1
19. y = 8
20. y = 6
21. y = 7
22. y = 7
23. y = 3
24. y = 6
25. y = 8
26. y = 3
27. y = 7
28. y = 2
29. y = 8
30. y = 2
31. y = 4
32. y = 4
33. y = 3
34. y = 7
35. y = 1
36. y = 5
37. y = 9
38. y = 3
39. y = 6
40. y = 5
41. y = 2
42. y = 9
43. y = 6
44. y = 2
45. y = 6
46. y = 4
47. y = 9
48. y = 3
49. y = 1
50. y = 6
51. y = 3
52. y = 6
53. y = 4
54. y = 9
55. y = 6
56. y = 8
57. y = 1
58. y = 2
59. y = 2
60. y = 9
61. y = 5
62. y = 5
63. y = 2
64. y = 4
1. $4 = y - 4$
Add 4 to both sides: $4 + 4 = y$
$y = 8$
2. $4 = y - 2$
Add 2 to both sides: $4 + 2 = y$
$y = 6$
3. $3 = y - 2$
Add 2 to both sides: $3 + 2 = y$
$y = 5$
4. $4 = y - 5$
Add 5 to both sides: $4 + 5 = y$
$y = 9$
5. $3 = 9 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 9 - 3$
$y = 6$
6. $3 = 7 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 7 - 3$
$y = 4$
7. $4 = y - 1$
Add 1 to both sides: $4 + 1 = y$
$y = 5$
8. $7 = y - 2$
Add 2 to both sides: $7 + 2 = y$
$y = 9$
9. $1 = 8 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 8 - 1$
$y = 7$
10. $2 = 3 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 3 - 2$
$y = 1$
11. $7 = y - 1$
Add 1 to both sides: $7 + 1 = y$
$y = 8$
12. $2 = 8 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 8 - 2$
$y = 6$
13. $2 = 9 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 9 - 2$
$y = 7$
14. $3 = 7 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 7 - 3$
$y = 4$
15. $8 = y - 1$
Add 1 to both sides: $8 + 1 = y$
$y = 9$
16. $3 = 4 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 4 - 3$
$y = 1$
17. $2 = 9 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 9 - 2$
$y = 7$
18. $6 = 7 - y$
Add $y$ to both sides and subtract 6 from both sides: $y = 7 - 6$
$y = 1$
19. $5 = y - 3$
Add 3 to both sides: $5 + 3 = y$
$y = 8$
20. $0 = 6 - y$
Add $y$ to both sides: $y = 6$
$y = 6$
21. $4 = y - 3$
Add 3 to both sides: $4 + 3 = y$
$y = 7$
22. $1 = 8 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 8 - 1$
$y = 7$
23. $4 = 7 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 7 - 4$
$y = 3$
24. $1 = y - 5$
Add 5 to both sides: $1 + 5 = y$
$y = 6$
25. $3 = y - 5$
Add 5 to both sides: $3 + 5 = y$
$y = 8$
26. $6 = 9 - y$
Add $y$ to both sides and subtract 6 from both sides: $y = 9 - 6$
$y = 3$
27. $2 = y - 5$
Add 5 to both sides: $2 + 5 = y$
$y = 7$
28. $0 = y - 2$
Add 2 to both sides: $0 + 2 = y$
$y = 2$
29. $5 = y - 3$
Add 3 to both sides: $5 + 3 = y$
$y = 8$
30. $5 = 7 - y$
Add $y$ to both sides and subtract 5 from both sides: $y = 7 - 5$
$y = 2$
31. $1 = 5 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 5 - 1$
$y = 4$
32. $2 = y - 2$
Add 2 to both sides: $2 + 2 = y$
$y = 4$
33. $1 = y - 2$
Add 2 to both sides: $1 + 2 = y$
$y = 3$
34. $0 = y - 7$
Add 7 to both sides: $0 + 7 = y$
$y = 7$
35. $4 = 5 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 5 - 4$
$y = 1$
36. $2 = y - 3$
Add 3 to both sides: $2 + 3 = y$
$y = 5$
37. $0 = y - 9$
Add 9 to both sides: $0 + 9 = y$
$y = 9$
38. $3 = 6 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 6 - 3$
$y = 3$
39. $2 = 8 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 8 - 2$
$y = 6$
40. $4 = 9 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 9 - 4$
$y = 5$
41. $4 = 6 - y$
Add $y$ to both sides and subtract 4 from both sides: $y = 6 - 4$
$y = 2$
42. $3 = y - 6$
Add 6 to both sides: $3 + 6 = y$
$y = 9$
43. $2 = 8 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 8 - 2$
$y = 6$
44. $1 = y - 1$
Add 1 to both sides: $1 + 1 = y$
$y = 2$
45. $5 = y - 1$
Add 1 to both sides: $5 + 1 = y$
$y = 6$
46. $2 = 6 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 6 - 2$
$y = 4$
47. $6 = y - 3$
Add 3 to both sides: $6 + 3 = y$
$y = 9$
48. $2 = 5 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 5 - 2$
$y = 3$
49. $3 = 4 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 4 - 3$
$y = 1$
50. $2 = y - 4$
Add 4 to both sides: $2 + 4 = y$
$y = 6$
51. $0 = y - 3$
Add 3 to both sides: $0 + 3 = y$
$y = 3$
52. $3 = y - 3$
Add 3 to both sides: $3 + 3 = y$
$y = 6$
53. $1 = 5 - y$
Add $y$ to both sides and subtract 1 from both sides: $y = 5 - 1$
$y = 4$
54. $8 = y - 1$
Add 1 to both sides: $8 + 1 = y$
$y = 9$
55. $1 = y - 5$
Add 5 to both sides: $1 + 5 = y$
$y = 6$
56. $4 = y - 4$
Add 4 to both sides: $4 + 4 = y$
$y = 8$
57. $7 = 8 - y$
Add $y$ to both sides and subtract 7 from both sides: $y = 8 - 7$
$y = 1$
58. $3 = 5 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 5 - 3$
$y = 2$
59. $2 = 4 - y$
Add $y$ to both sides and subtract 2 from both sides: $y = 4 - 2$
$y = 2$
60. $5 = y - 4$
Add 4 to both sides: $5 + 4 = y$
$y = 9$
61. $3 = 8 - y$
Add $y$ to both sides and subtract 3 from both sides: $y = 8 - 3$
$y = 5$
62. $0 = 5 - y$
Add $y$ to both sides: $y = 5$
$y = 5$
63. $6 = 8 - y$
Add $y$ to both sides and subtract 6 from both sides: $y = 8 - 6$
$y = 2$
64. $0 = y - 4$
Add 4 to both sides: $0 + 4 = y$
$y = 4$
Final Answer:
1. y = 8
2. y = 6
3. y = 5
4. y = 9
5. y = 6
6. y = 4
7. y = 5
8. y = 9
9. y = 7
10. y = 1
11. y = 8
12. y = 6
13. y = 7
14. y = 4
15. y = 9
16. y = 1
17. y = 7
18. y = 1
19. y = 8
20. y = 6
21. y = 7
22. y = 7
23. y = 3
24. y = 6
25. y = 8
26. y = 3
27. y = 7
28. y = 2
29. y = 8
30. y = 2
31. y = 4
32. y = 4
33. y = 3
34. y = 7
35. y = 1
36. y = 5
37. y = 9
38. y = 3
39. y = 6
40. y = 5
41. y = 2
42. y = 9
43. y = 6
44. y = 2
45. y = 6
46. y = 4
47. y = 9
48. y = 3
49. y = 1
50. y = 6
51. y = 3
52. y = 6
53. y = 4
54. y = 9
55. y = 6
56. y = 8
57. y = 1
58. y = 2
59. y = 2
60. y = 9
61. y = 5
62. y = 5
63. y = 2
64. y = 4
Parent Tip: Review the logic above to help your child master the concept of free algebra print out sheets.