Chapter 4 Quadratic Functions and Equations

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• Lesson 1-4 Solving Linear Equations

  Solve each equation. Check your answer.

  1. 9 x − 16 = 8 + 5 x 9 x minus 16 equals 8 plus 5 x
  2. 4 ( y + 2 ) + 1 = − 5 ( 3 − 2 y ) 4 open y plus 2 close plus 1 equals negative 5 open 3 minus 2 y close

• Lesson 1-6 Solving Absolute Value Inequalities

  Solve each inequality. Graph the solution.

  3. | 6 x − 12 | + 6 < 30 vertical line 6 x minus 12 vertical line plus 6 less than 30
  4. 6 | 4 y − 2 | ≥ 42 6 vertical line 4 y minus 2 vertical line greater than or equal to 42

• Lesson 2-3 Writing and Graphing Equations in Slope-Intercept Form

  Graph the line passing through the given points. Then write its equation in slope-intercept form.

  5. ( 1 , − 1 ) open 1 comma negative 1 close  and (3, 17)
  6. (2, 9) and (6, 11)

• Lesson 2-6 Identifying Translations

  Identify each horizontal and vertical translation of the parent function y = | x | . y equals vertical line x vertical line .

  7. y = | x − 4 | + 2 y equals vertical line x minus 4 vertical line plus 2
  8. y = | x + 10 | − 3 y equals vertical line x plus 10 vertical line negative 3

• Lesson 3-2 Solving Systems of Equations

  Solve each system of equations by substitution.

  9. { 2 x + 6 y = 14 4 x − 8 y = 48 left brace . table with 2 rows and 1 column , row1 column 1 , 2 x plus 6 y equals 14 , row2 column 1 , 4 x minus 8 y equals 48 , end table
  10. { x + 2 y = − 18 2 x − 4 y = 12 left brace . table with 2 rows and 5 columns , row1 column 1 , x , column 2 plus , column 3 2 y , column 4 equals , column 5 negative 18 , row2 column 1 , 2 x , column 2 minus , column 3 4 y , column 4 equals , column 5 12 , end table

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