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Algebra 1

2.14.6 Practice

Algebra 12.14.6 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

In questions 1 - 5, determine whether each ordered pair is a solution to the system.

1.

a. 3 x + y > 5

     2 x − y ≤ 10

  1. No
  2. Yes
b. (7,1)
  1. No
  2. Yes

2. 4 x − y < 10

     − 2 x + 2 y > − 8

  a. (5,−2)

  1. No
  2. Yes
b. (−1,3)
  1. No
  2. Yes

3. y > 2 3 x − 5

     x + 1 2 y ≤ 4

  a. (6, −4)

  1. No
  2. Yes
b. (3, 0)
  1. No
  2. Yes

4. y < 3 2 x + 3

     3 4 x − 2 y < 5

  a. (−4,−1)

  1. No
  2. Yes
b. (8, 3)
  1. No
  2. Yes

5. 6 x − 5 y < 20

     − 2 x + 7 y > − 8

  a. (1, −3)

  1. No
  2. Yes
b. (−4, 4)
  1. No
  2. Yes

6. Two inequalities are graphed on the same coordinate plane. Which region represents the solution to the system of the two inequalities?

Two intersecting inequalities.

  1. Region A
  2. Region B
  3. Region C
  4. Region D
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