Chapter 2 Functions, Equations, and Graphs

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• Lesson 1-3 Simplifying Expressions

  Simplify by combining like terms.

  1. 7 s − s 7 s minus s
  2. 3a + b + a
  3. x y − y + x x y minus y plus x
  4. 0.5g + g
  5. 4 t − ( t + 3 t ) 4 t minus open t plus 3 t close
  6. b − 2 ( 1 + c − b ) b minus 2 open 1 plus c minus b close
  7. 5 f − ( 5 d − f ) 5 f minus open 5 d minus f close
  8. 2 ( h + 2 g ) − ( g − h ) 2 open h plus 2 g close minus open g minus h close
  9. − ( 3 z − 5 ) + z negative open 3 z minus 5 close plus z
  10. ( 2 − d ) g − 3 d ( 4 + g ) open 2 minus d close g minus 3 d open 4 plus g close
  11. 5 v − 3 ( 2 − v ) 5 v minus 3 open 2 minus v close
  12. 7 t − 3 s ( 2 + t ) + s 7 t minus 3 s open 2 plus t close plus s

• Lesson 1-4 Solving Equations

  Solve each equation.

  13. 4 + x = − 52 4 plus x equals negative 52
  14. − y + 13 = − 67 negative y plus 13 equals negative 67
  15. 12 = 2 − k 12 equals 2 minus k
  16. 3 x = − 72 3 x equals negative 72
  17. h 5 = 215 h over 5 , equals 215
  18. 64 = 4 + 12g
  19. 5 − 4 t = 12 5 minus 4 t equals 12
  20. 7 x − 9 = x 7 x minus 9 equals x
  21. 3 ( w − 8 ) = 36 3 open w minus 8 close equals 36
  22. − 10 p = 2 ( p − 12 ) negative 10 p equals 2 open p minus 12 close
  23. 3 ( 2 − c ) = − ( c + 4 ) 3 open 2 minus c close equals negative open c plus 4 close
  24. 7 + b = 11 ( b − 3 ) 7 plus b equals 11 open b minus 3 close

• Lesson 1-6 Solving Absolute Value Inequalities

  Solve each absolute value inequality. Graph the solution.

  25. | x − 3 | < 5 vertical line x minus 3 vertical line less than 5
  26. | 2 a − 1 | ≥ 2 a + 1 vertical line 2 eh minus 1 vertical line greater than or equal to 2 eh plus 1
  27. | 3 x + 4 | > − 4 x − 3 vertical line 3 x plus 4 vertical line greater than negative 4 x minus 3
  28. | 3 x + 1 | + 1 > 12 vertical line 3 x plus 1 vertical line plus 1 greater than 12
  29. 3 | d − 4 | ≤ 13 − d 3 vertical line d minus 4 vertical line less than or equal to 13 minus d
  30. − 1 3 | f + 3 | + 2 ≥ − 5 negative , 1 third , vertical line f plus 3 vertical line plus 2 greater than or equal to negative 5

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