Practice Quiz

SAT Prep

Category - Math

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Which of the following expressions has the greatest value?
  1. | − 6 + 2 − 3|
  2. |( − |6 + 2| − 3)|
  3. |( − 6 + |2 − 3|)|
  4. | − 6 + 2| − 3||
  5. || − 6| + 2 − 3|
Explanation
Answer: B - The expression above with the greatest value is |( − |6 + 2| − 3)|. Calculate the value of each expression using the property of absolute value |a| = a.
| − 6 + 2 − 3| = | − 7| = 7
|( − |6 + 2| − 3)| = | − 8 − 3| = | − 11| = 11
|( − 6 + |2 − 3|)| = |( − 6 + | − 1|)| = | − 6 + 1| = | − 5| = 5
| − 6 + 2| − 3|| = | − 6 + 2 × 3| = | − 6 + 6| = |0| = 0
|(| − 6| + 2 − 3)| = |6 + 2 − 3| = |5| = 5

The greatest value is 11.
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