CHAPTER 1 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false. If it is false, explain why.

  1. The absolute value of any real number is positive.

  2. 16 − 4 ÷ 2 = 14

  3. For approximate numbers, 26.7 − 15 = 11.7.

  4. 2a3 = 8a3

  5. 0.237 = 2.37 × 10 − 1

  6.  −  − 4 = 2

  7. 4x − (2x + 3) = 2x + 3

  8. (x − 7)2 = 49 − 14x + x2

  9. 6x + 22 = 3x

  10. If 5x − 4 = 0 , x = 5/4

  11. If a − bc = d , c = (d − a) / b

  12. In setting up the solution to a word problem involving numbers of gears, it would be sufficient to “let x = the first gear.”

PRACTICE AND APPLICATIONS

In Exercises 13–24, evaluate the given expressions.

  1.  − 2 + ( − 5) − 3

  2. 6 − 8 − ( − 4)

  3. ( − 5)(6)( − 4)( − 2)(3)

  4. ( − 9)( − 12)( − 4)24

  5.  − 5 − | 2( − 6)|  +  − 153

  6. 3 − 5|  − 3 − 2|  − |  ...

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