Let’s solve each equation one by one. Remember, to solve for the variable (like q, x, r, etc.), we need to get it alone on one side of the equals sign. We do this by doing the opposite operation to both sides.
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1. q + 7 = 10
Subtract 7 from both sides:
q = 10 - 7 →
q = 3
2. x + 10 = 17
Subtract 10 from both sides:
x = 17 - 10 →
x = 7
3. 84 = q - 17
Add 17 to both sides:
84 + 17 = q →
q = 101
4. i + 22 = 27
Subtract 22 from both sides:
i = 27 - 22 →
i = 5
5. r - 7 = 15
Add 7 to both sides:
r = 15 + 7 →
r = 22
6. x + 9 = 18
Subtract 9 from both sides:
x = 18 - 9 →
x = 9
7. a + 8 = 2
Subtract 8 from both sides:
a = 2 - 8 →
a = -6
8. l - 8 = 15
Add 8 to both sides:
l = 15 + 8 →
l = 23
9. s + 13 = 27
Subtract 13 from both sides:
s = 27 - 13 →
s = 14
10. 44 + t = 15
Subtract 44 from both sides:
t = 15 - 44 →
t = -29
11. 28 = n - 13
Add 13 to both sides:
28 + 13 = n →
n = 41
12. d - 11 = 12
Add 11 to both sides:
d = 12 + 11 →
d = 23
13. v + 24 = 100
Subtract 24 from both sides:
v = 100 - 24 →
v = 76
14. 6 - z = 88
Subtract 6 from both sides:
-z = 88 - 6 → -z = 82
Multiply both sides by -1:
z = -82
15. 5 = 4 - k
Subtract 4 from both sides:
1 = -k
Multiply both sides by -1:
k = -1
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Final Answer:
1. q = 3
2. x = 7
3. q = 101
4. i = 5
5. r = 22
6. x = 9
7. a = -6
8. l = 23
9. s = 14
10. t = -29
11. n = 41
12. d = 23
13. v = 76
14. z = -82
15. k = -1
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting equations worksheet.
