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Addition and Subtraction Equations
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22 = 13 + a
a = 9
Is w = 8 a solution to the equation 5 + w = 58? Explain.
No; Sample answer: w = 8 is not a solution because 5 + 8 = 13.
What is the solution of 56 = k - 42?
 
k = 98
 
k = 78
 
k = 88
 
k = 76
Krystal says that you need to add to solve the subtraction equation y - 11 = 52. Is Krystal correct? Explain.
Yes; Addition is the inverse of subtraction. To find the value of y, add 11 to each side of the equation.
Shree writes the equation x + 7 = 28. What should Shree do to find the value of x?
Subtract 7 from each side of the equation.
This year, a rancher counted 225 horses on the range. This count is 22 fewer than last year. How many horses did the rancher count last year? Let h be the number of horses counted last year. Solve h - 22 = 225 to find the number of horses c
247 horses; h - 22 + 22 = 225 + 22, so h = 247
Explain how to solve for n in the equation n + 25 = 233.
Subtract 25 from both sides; n = 208
A volunteer made m muffins for a bake sale. After selling 28 muffins, 21 muffins remained. The equation m - 28 = 21 represents the situation. What is the first step in writing an equivalent equation to solve m - 28 = 21?
Add 28 to each side of the equation.
447 + h = 951
h = 504
m - 28 = 21
m = 49
a - 51 = 12
a = 63
150 = e + 42
e = 108
30 = m - 18
m = 48
r + 82 = 97
r = 15
25 + y = 42
y = 17
g - 8 = 25
g = 33


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