Chapter 3 Solving Inequalities

Chapter 3 Get Ready!

• See Lesson 1-3 Ordering Rational Numbers

  Complete each statement with < , = , less than comma equals comma  or > . greater than .

  1. − 3 □ − 5 negative 3 white square negative 5
  2. 7 □ 14 2 7 white square , 14 over 2
  3. − 8 □ − 8.4 negative 8 white square negative 8.4
  4. − 5 2 □ 2.5 negative , 5 halves , white square 2.5
• See Lesson 1-5 Absolute Value

  Simplify each expression.

  5. 5 + | 4 − 6 | 5 plus vertical line 4 minus 6 vertical line
  6. | 30 − 28 | − 6 vertical line 30 minus 28 vertical line negative 6
  7. | − 7 + 2 | − 4 vertical line negative 7 plus 2 vertical line negative 4
• See Lesson 2-1 Solving One-Step Equations

  Solve each equation. Check your solution.

  8. x − 4 = − 2 x minus 4 equals negative 2
  9. b + 4 = 7
  10. − 3 4 y = 9 negative , 3 fourths , y equals 9
  11. m 12 = 2.7 m over 12 , equals 2.7
  12. − 8 + x = 15 negative 8 plus x equals 15
  13. n − 7 = 22.5 n minus 7 equals , 22.5
  14. − 12 7 z = 48 negative , 12 over 7 , z equals 48
  15. 5 y 4 = − 15 fraction 5 y , over 4 end fraction , equals negative 15
• See Lesson 2-2 Solving Two-Step Equations

  Solve each equation. Check your solution.

  16. − 5 + b 4 = 7 negative 5 plus , b over 4 , equals 7
  17. 4.2m + 4 = 25
  18. − 12 = 6 + 3 4 x negative 12 equals 6 plus , 3 fourths , x
  19. 6 = − z − 4 6 equals negative z minus 4
  20. 4m + 2.3 = 9.7
  21. 5 8 t − 7 = − 22 5 eighths , t minus 7 equals negative 22
  22. − 4.7 = 3 y + 1.3 negative 4.7 equals 3 y plus 1.3
  23. 12.2 = 5.3 x − 3.7 12.2 , equals 5.3 x minus 3.7
  24. 5 − 1 3 x = − 15 5 minus , 1 third , x equals negative 15
• See Lessons 2-3 and 2-4 Solving Multi-Step Equations

  Solve each equation. Check your solution.

  25. 4 t + 7 + 6 t = − 33 4 t plus 7 plus 6 t equals negative 33
  26. 2 a + 5 = 9 a − 16 2 eh plus 5 equals 9 eh minus 16
  27. 1 3 + 4 y 6 = 2 3 1 third , plus , fraction 4 y , over 6 end fraction , equals , 2 thirds
  28. 6 ( y − 2 ) = 8 − 2 y 6 open y minus 2 close equals 8 minus 2 y
  29. n + 3 ( n − 2 ) = 10.4 n plus 3 open n minus 2 close equals , 10.4
  30. 1 3 w + 3 = 2 3 w − 5 1 third , w plus 3 equals , 2 thirds , w minus 5

Table of Contents