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Back to 1.1 Real Numbers: Algebra Essentials

1.1 Exercise 15

Avg difficulty 2.5

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

  1. ⓐ 5 2 − 4 2 +7 ( 5−4 ) 2 \sqrt{5^{2} - 4^{2}} + 7 \left(5 - 4\right)^{2}
  2. ⓑ 1+ 7⋅5−8⋅4 9−6 1 + \frac{7 \cdot 5 - 8 \cdot 4}{9 - 6}
  3. ⓒ | 1.8−4.3|+0.4 15+10 \left|1.8 - 4.3\right| + 0.4 \sqrt{15 + 10}
  4. ⓓ 1 2 [ 5⋅ 3 2 − 7 2 ]+ 1 3 ⋅ 9 2 \frac{1}{2} \left[5 \cdot 3^{2} - 7^{2}\right] + \frac{1}{3} \cdot 9^{2}
  5. ⓔ [ ( 3−8 ) 2 −4 ]−( 3−8 ) \left[\left(3 - 8\right)^{2} - 4\right] - \left(3 - 8\right)

OpenStax Algebra and Trigonometry 2e, 1.1 Real Numbers: Algebra Essentials, exercise 15

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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.