Chapter 6 Systems of Equations and Inequalities

Chapter 6 Get Ready!

• Lesson 2-4 Solving Equations

  Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution.

  1. 3 ( 2 − 2 x ) = − 6 ( x − 1 ) 3 open 2 minus 2 x close equals negative 6 open x minus 1 close
  2. 3 p + 1 = − p + 5 3 p plus 1 equals negative p plus 5
  3. 4 x − 1 = 3 ( x + 1 ) + x 4 x minus 1 equals 3 open x plus 1 close plus x
  4. 1 2 ( 6 c − 4 ) = 4 + c 1 half , open 6 c minus 4 close equals 4 plus c
  5. 5 x = 2 − ( x − 7 ) 5 x equals 2 minus open x minus 7 close
  6. v + 5 = v − 5 v plus 5 equals v minus 5

• Lesson 3-4 Solving Inequalities

  Solve each inequality.

  7. 5 x + 3 < 18 5 x plus 3 less than 18
  8. − r 5 + 1 ≥ − 6 negative , r over 5 , plus 1 greater than or equal to negative 6
  9. − 3 t − 5 < 34 negative 3 t minus 5 less than 34
  10. − ( 7 f + 18 ) − 2 f ≤ 0 negative open 7 f plus 18 close minus 2 f less than or equal to 0
  11. 8 s + 7 > − 3 ( 5 s − 4 ) 8 s plus 7 greater than negative 3 open 5 s minus 4 close
  12. 1 2 ( x + 6 ) + 1 ≥ − 5 1 half , open x plus 6 close plus 1 greater than or equal to negative 5

• Lesson 4-5 Writing Functions

  13. The height of a triangle is 1 cm less than twice the length of the base. Let x = the length of the base.

      1. Write an expression for the height of the triangle.
      2. Write a function rule for the area of the triangle.
      3. What is the area of such a triangle if the length of its base is 16 cm?

• Lessons 5-3, 5-4, and 5-5 Graphing Linear Equations

  Graph each equation.

  14. 2 x + 4 y = − 8 2 x plus 4 y equals negative 8
  15. y = − 2 3 x + 3 y equals negative , 2 thirds , x plus 3
  16. y + 5 = − 2 ( x − 2 ) y plus 5 equals negative 2 open x minus 2 close

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