I'll solve each equation step by step, showing all work.
1) x + 6 = -10
Subtract 6 from both sides:
x = -10 - 6
x = -16
2) 10 = y - (-14)
Simplify: 10 = y + 14
Subtract 14 from both sides:
10 - 14 = y
-4 = y
y = -4
3) n + (-6) = 6
Simplify: n - 6 = 6
Add 6 to both sides:
n = 6 + 6
n = 12
4) 23 = 15 + a
Subtract 15 from both sides:
23 - 15 = a
8 = a
a = 8
5) k - (-6) = 2
Simplify: k + 6 = 2
Subtract 6 from both sides:
k = 2 - 6
k = -4
6) x - (-18) = 1
Simplify: x + 18 = 1
Subtract 18 from both sides:
x = 1 - 18
x = -17
7) 13 = x + 2
Subtract 2 from both sides:
13 - 2 = x
11 = x
x = 11
8) -10 + n = -2
Add 10 to both sides:
n = -2 + 10
n = 8
9) 11 + m = 6
Subtract 11 from both sides:
m = 6 - 11
m = -5
10) -17 = p - (-1)
Simplify: -17 = p + 1
Subtract 1 from both sides:
-17 - 1 = p
-18 = p
p = -18
11) -8 = x - 19
Add 19 to both sides:
-8 + 19 = x
11 = x
x = 11
12) 7 + n = 14
Subtract 7 from both sides:
n = 14 - 7
n = 7
Final Answer:
1) x = -16
2) y = -4
3) n = 12
4) a = 8
5) k = -4
6) x = -17
7) x = 11
8) n = 8
9) m = -5
10) p = -18
11) x = 11
12) n = 7
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction equations worksheet.