Chapter 3 Linear Systems

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• Lesson 1-3 Evaluating Algebraic Expressions

  Evaluate each expression for the given values of the variables.

  1. 9 t + 6 ( 2 v − t ) − 7 v ; 9 t plus 6 open 2 v minus t close minus 7 v semicolon  t = 1 and v = 5
  2. 11 ( a + 2 b ) + 2 ( a − 2 b ) ; 11 open eh plus 2 b close plus 2 open eh minus 2 b close semicolon   a = − 3 eh equals negative 3  and b = 4
  3. 3 5 d + 1 10 h − 7 10 d − 4 5 h ; d = 5  and  h = 10 3 fifths , d plus , 1 tenth , h minus , 7 tenths , d minus , 4 fifths , h semicolon d equals 5 , and , h equals 10
  4. 12 ( 3 4 x − 1 2 y ) − 6 ( 1 2 x − 3 4 y ) ; x = 2  and  y = − 2 12 open , 3 fourths , x minus , 1 half , y close minus 6 open , 1 half , x minus , 3 fourths , y close semicolon x equals 2 , and , y equals negative 2

• Lesson 2-3 Writing Linear Equations in Slope-Intercept Form

  Write the equation of each line in slope-intercept form.

  5. 2 x − 4 y = 10 2 x minus 4 y equals 10
  6. 3 y + 9 = − 6 x 3 y plus 9 equals negative 6 x
  7. y − 5 x = 16 y minus , 5 x equals 16
  8. − 7 − y = − 3 x negative 7 minus y equals negative 3 x
  9. x 6 − 5 12 y = 5 8 x over 6 , minus , 5 twelfths , y equals , 5 eighths
  10. 4 x = y − 11 4 x equals y minus 11
  11. 2 y = − 12 x − 16 2 y equals negative 12 x minus 16
  12. y 9 + x 3 = 2 y over 9 , plus , x over 3 , equals 2

• Lesson 2-3 Graphing Linear Equations

  Graph each equation.

  13. 3 x = y − 1 3 x equals y minus 1
  14. x − 5 y = 10 x minus , 5 y equals 10
  15. 12 + 2 y = 3 x 12 plus 2 y equals 3 x
  16. y = 4 x

• Lesson 2-8 Graphing Inequalities

  Graph each inequality.

  17. 4 y ≤ 24 x 4 y less than or equal to 24 x
  18. y ≥ 2 | x − 1 . 5 | y greater than or equal to 2 vertical line x minus 1 . 5 vertical line
  19. x + 5 y ≥ 20 x plus 5 y greater than or equal to 20
  20. y > | x + 6 | − 2 y greater than vertical line x plus 6 vertical line negative 2

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