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7.5: Distributive Property and Solving for Unknowns Extras

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Extra for Experts Distributive Property and Solving for Unknowns - Apply the Distributive Property

Figure out the value of each variable.

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1. \quad 6 \div 2 \div 3 \times (f + 2) = 11\!\\\!\\{\;} \quad \ f = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\\!\\2. \quad 37 = 3(m + 6) + 4(9-5)\!\\\!\\{\;} \quad \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;} = m\!\\\!\\3. \quad (8 + 2) \div 5 \times (g + 4) = 32\!\\\!\\{\;} \quad \ g = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\\!\\4. \quad 70 = 5 \times (9+ t) + 4 \times (t + 4)\!\\\!\\{\;} \quad \ \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;} = t

Solutions

1. \quad 6 \div 2 \div 3 \times (f + 2) = 11\!\\{\;} \quad \ 1 \times (f + 2) = 11\!\\{\;} \quad \ f + 2 = 11\!\\{\;} \quad \ f = 9

2. \quad 37 = 3(m + 6) + 4(9-5)\!\\{\;} \quad \ 37 = 3m + 18 + 4(9 - 5)\!\\{\;} \quad \ 37 = 3m + 18 + 4 \times 4\!\\{\;} \quad \ 37 = 3m + 18 + 16\!\\{\;} \quad \ 37 = 3m + 34\!\\{\;} \quad \ 3 = 3m\!\\{\;} \quad \ 1 = m

3. \quad (8 + 2) \div 5 \times (g + 4) = 32\!\\{\;} \quad \ 10 \div 5 \times (g + 4) = 32\!\\{\;} \quad \ 2 \times (g + 4) = 32\!\\{\;} \quad \ 2g + 8 = 32\!\\{\;} \quad \ 2g = 24\!\\{\;} \quad \ g = 12

4. \quad 70 = 5 \times (9 + t) + 4 \times (t + 4)\!\\{\;} \quad \ 70 = 5 \times 9 + 5t + 4t + 4 \times 4\!\\{\;} \quad \ 70 = 45 + 5t + 4t + 16\!\\{\;} \quad \ 70 = 9t + 61\!\\{\;} \quad \ 9 = 9t\!\\{\;} \quad \ 1 = t

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Feb 23, 2012

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Apr 29, 2014
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