Complete each of the following addition and subtraction equations with the appropriate value.
Problem 1 :
Solution :
Let x be the missing integer.
x + 20 = 17
Subtract 20 from both sides.
(x + 20) - 20 = 17 - 20
x + 20 - 20 = -3
x = -3
So,
-3 + 20 = 17
Problem 2 :
Solution :
Let x be the missing integer.
-7 + x = 17
Add 7 to both sides.
(-7 + x) + 7 = 17 + 7
-7 + x + 7 = 24
x = 24
So,
-7 + 24 = 17
Problem 3 :
Solution :
Let x be the missing integer.
x + 5 = -10
Subtract 5 from both sides.
(x + 5) - 5 = -10 - 5
x + 5 - 5 = -15
x = -15
So,
-15 + 5 = -10
Problem 4 :
Solution :
Let x be the missing integer.
-12 + x = -19
Add 12 to both sides.
(-12 + x) + 12 = -19 + 12
-12 + x + 12 = -7
x = -7
So,
-12 + (-7) = -19
Problem 5 :
Solution :
Let x be the missing integer.
-18 + x = -20
Subtract 20 from both sides.
(-18 + x) + 18 = -20 + 18
-18 + x + 18 = -20 + 18
x = -2
So,
-18 + (-2) = -20
Problem 6 :
Solution :
Let x be the missing integer.
-11 + x = -17
Add 11 to both sides.
(-11 + x) + 11 = -17 + 11
-11 + x + 11 = -6
x = -6
So,
-11 + (-6) = -17
Problem 7 :
Solution :
Let x be the missing integer.
18 + x = 9
Subtract 18 from both sides.
(18 + x) - 18 = 9 - 18
18 + x - 18 = -9
x = -9
So,
18 + (-9) = 9
Problem 8 :
Solution :
Let x be the missing integer.
x - 5 = 23
Add 5 to both sides.
(x - 5) + 5 = 23 + 5
x - 5 + 5 = 28
x = 28
So,
28 - 5 = 23
Problem 9 :
Solution :
Let x be the missing integer.
x - 25 = -17
Add 25 to both sides.
(x - 25) + 25 = -17 + 25
x - 20 + 20 = 8
x = 8
So,
8 - 25 = -17
Problem 10 :
Solution :
Let x be the missing integer.
40 - x = 28
Add x to both sides.
(40 - x) + x = 28 + x
40 + x - x = 28 + x
40 = 28 + x
Subtract 28 from both sides.
40 - 28 = (28 + x) - 28
12 = 28 + x - 28
12 = x
So,
40 - 12 = 28
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