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Algebra 1

2.11.5 Practice

Algebra 12.11.5 Practice
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2.11.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 3, determine whether each ordered pair is a solution to the inequality y > x − 1 .

  1. ( 0 , 1 )
  1. Yes
  2. No
  1. ( − 4 , − 1 )
  1. Yes
  2. No
  1. ( 4 , 2 )
  1. Yes
  2. No
For questions 4 - 6, determine whether each ordered pair is a solution to the inequality y > x − 3 .
  1. ( 0 , 0 )
  1. Yes
  2. No
  1. ( 2 , 1 )
  1. Yes
  2. No
  1. ( − 1 , − 5 )
  1. Yes
  2. No

For questions 7 and 8, determine whether each ordered pair is a solution to the inequality 2 x + 3 y > 2 .

  1. ( 1 , 1 )
  1. Yes
  2. No
  1. ( 4 , − 3 )
  1. Yes
  2. No
  1. Which inequality represents the graph?
graph of y < 3x − 4
  1. y ≥ 3 x − 4
  2. y > 3 x − 4
  3. y < 3 x − 4
  4. y ≤ 3 x − 4

For questions 10 and 11, use this graph of the equation 2 y − x = 1 as a guide to answer the questions.

Graph of a line.
  1. Is the point ( 0 , 1 2 ) a solution to the equation?
  1. Yes
  2. No
  1. Is the point ( 0 , 2 ) a solution to the inequality 2 y − x > 1 ?
  1. Yes
  2. No
  1. Consider the linear equation 2 y − 3 x = 5 . The pair ( − 1 , 1 ) is a solution to the equation. Which of the following is also a solution to the equation?
  1. ( − 3 , − 1 )
  2. ( 5 , 11 )
  3. ( 3 , 7 )
  4. ( 1 , 5 )
  1. The boundary line on the graph represents the equation 5 x + 2 y = 6 . Write an inequality that is represented by the graph.
graph with boundary line that represents the equation 5x + 2y = 6
  1. 5 x + 2 y < 6
  2. 5 x + 2 y < 2
  3. − 5 x − 2 y < 6
  4. 5 x + 2 y < − 6
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