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Back to 1.1 Real Numbers: Algebra Essentials

Using the Order of Operations

Avg difficulty 2.5

Use the order of operations to evaluate each of the following expressions.

  1. ⓐ ( 3⋅2 ) 2 −4( 6+2 ) \left(3 \cdot 2\right)^{2} - 4 \left(6 + 2\right)
  2. ⓑ 5 2 −4 7 − 11−2 \frac{5^{2} - 4}{7} - \sqrt{11 - 2}
  3. ⓒ 6−| 5−8 |+3( 4−1 ) 6 - \left|5 - 8\right| + 3 \left(4 - 1\right)
  4. ⓓ 14−3⋅2 2⋅5− 3 2 \frac{14 - 3 \cdot 2}{2 \cdot 5 - 3^{2}}
  5. ⓔ 7( 5⋅3 )−2[ ( 6−3 )− 4 2 ]+1 7 \left(5 \cdot 3\right) - 2 \left[\left(6 - 3\right) - 4^{2}\right] + 1

OpenStax Algebra and Trigonometry 2e, 1.1 Real Numbers: Algebra Essentials, exercise 14

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.