systems of linear inequalities

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

• (0, 0)
• (2, 1)
• (2, 2)
• (-1, 1)

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Which point below is NOT part of the solution set?

• (0, 0)
• (5, 1)
• (-1, -3)
• (20, -5)

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Tags

CCSS.HSA.REI.D.12

You can work a total of no more than 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system to represent the situation.

• x+y≤254
  5x+8y≥41
• x+41≤y
  5x+8y≥254
• x+y≤41
  5x+8y≥254
• x+y>41
  5x+8y<254

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

Jonah is going to the store to buy candles. Small candles (s) cost $3.50 and large candles (L) cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Write a system to represent the situation.

• 3.5s+5L≤80
  s+L≥20
• s+L≤80
  3.5s+5L≥20
• s+L>20
  3.5s+5L<80
• 8.5L≤80
  s+L≥20

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

Match

• y < x−2 
  y < 3
• y > -x+2
  y > 3
• y < -x+2
  y < 3
• y < -x+2
  y > 3

Tags

CCSS.HSA.REI.D.12

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes
• No

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3