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7.3: Solve for the Unknown Extras

Difficulty Level: At Grade Created by: CK-12

Extra for Experts: Solve for the Unknown - Apply Order of Operations

Figure out the value of each variable.

Follow the order of operations:

Parentheses first

Multiplication and division, left to right

Addition and subtraction, left to right

\begin{align*}1. \quad 12 + 2 \times 3 \div 6 + (7 - 4) = q\!\\ \!\\ {\;} \quad \ q = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 2. \quad 4 \times (6 - 2) \div 2 \times 3 = t\!\\ \!\\ {\;} \quad \ t = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 3. \quad 2 \times (11 - 1) \div 2 = g\!\\ \!\\ {\;} \quad \ g = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 4. \quad 3 \times (12 - 4) - (5 - 2) = m\!\\ \!\\ {\;} \quad \ m = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\!\\ \!\\ 5. \quad 5 \times (7 + 3) \div 2 + 25 = s\!\\ \!\\ {\;} \quad \ s = \underline{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\end{align*}

Solutions

  1. \begin{align*}q = 16\end{align*}
  2. \begin{align*}t = 24\end{align*}
  3. \begin{align*}g = 10\end{align*}
  4. \begin{align*}m = 21\end{align*}
  5. \begin{align*}s = 50\end{align*}

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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.7.3