Chapter 1 Expressions, Equations, and Inequalities

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• Skills Handbook, page 965 Adding Rational Numbers

  Find each sum.

  1. 6 + ( − 6 ) 6 plus open negative 6 close
  2. − 8 + 6 negative 8 plus 6
  3. 5.31 + ( − 7.40 ) 5.31 , plus open negative , 7.40 , close
  4. − 1.95 + 10 negative , 1.95 , plus 10
  5. 7 3 4 + ( − 8 1 2 ) 7 , and 3 fourths , plus . open . negative 8 , and 1 half . close
  6. − 2 1 3 + 3 1 4 negative 2 , and 1 third , plus 3 , and 1 fourth
  7. 6 2 5 + 4 3 10 6 , and 2 fifths , plus 4 , and 3 tenths
  8. − 1 5 6 + 5 1 3 negative 1 , and 5 sixths , plus 5 , and 1 third
• Skills Handbook, page 965 Subtracting Rational Numbers

  Find each difference.

  9. − 28 − 14 negative 28 minus 14
  10. 61 − ( − 11 ) 61 minus open negative 11 close
  11. − 16 − ( − 25 ) negative 16 minus open negative 25 close
  12. − 6.2 − 3.6 negative 6.2 minus 3.6
  13. − 5 2 3 − ( − 2 1 3 ) negative 5 , and 2 thirds , minus . open . negative 2 , and 1 third . close
  14. − 2 1 4 − 3 1 4 negative 2 , and 1 fourth , minus 3 , and 1 fourth
  15. 2 2 3 − 7 1 3 2 , and 2 thirds , minus 7 , and 1 third
  16. 5 2 − 13 4 5 halves , minus , 13 over 4
• Skills Handbook, page 965 Multiplying and Dividing Rational Numbers

  Find each product or quotient.

  17. − 3 ⋅ 7 negative 3 dot 7
  18. − 2.1 ⋅ ( − 3.5 ) negative 2.1 dot open negative 3.5 close
  19. − 2 3 ÷ 4 negative , 2 thirds , divides 4
  20. − 3 8 ÷ 5 8 negative , 3 eighths , divides , 5 eighths
• Skills Handbook, page 967 Using the Order of Operations

  Simplify each expression.

  21. 8 ⋅ ( − 3 ) + 4 8 dot open negative 3 close plus 4
  22. 3 ⋅ 4 − 8 ÷ 2 3 dot 4 minus 8 divides 2
  23. 1 ÷ 2 2 − 0.54 + 1.26 1 divides , 2 squared , minus , 0.54 , plus , 1.26
  24. 9 ÷ ( − 3 ) − 2 9 divides open negative 3 close minus 2
  25. 5 ( 3 ⋅ 5 − 4 ) 5 open 3 dot 5 minus 4 close
  26. 1 − ( 1 − 5 ) 2 ÷ ( − 8 ) 1 minus . open , 1 minus 5 , close squared . divides . open , negative 8 , close
  27. Reasoning Why don't the expressions 3 + 5 2 ⋅ 3 ÷ 15 3 plus , 5 squared , dot 3 divides 15  and ( 3 + 5 2 ) ⋅ 3 ÷ 15 open 3 plus , 5 squared , close dot 3 divides 15  yield the same answer?

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