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Addition and Subtraction Equations

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    solving equations using addition and subtraction
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  • g - 8 = 25
    g = 33
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  • 25 + y = 42
    y = 17
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  • r + 82 = 97
    r = 15
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  • 30 = m - 18
    m = 48
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  • 150 = e + 42
    e = 108
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  • a - 51 = 12
    a = 63
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  • m - 28 = 21
    m = 49
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  • 447 + h = 951
    h = 504
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  • 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.
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  • Explain how to solve for n in the equation n + 25 = 233.
    Subtract 25 from both sides; n = 208
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  • 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
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  • 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.
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  • 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.
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  • What is the solution of 56 = k - 42?
    k = 88
    k = 98
    k = 78
    k = 76
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  • 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.
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  • 22 = 13 + a
    a = 9
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