Systems of Equations, Inequalities and Equations

Match: the overlap is on the left!

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 4

• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Select the correct graph for each inequality.

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

• 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 + 4

Tags

CCSS.HSA.REI.D.12

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.

• s + t < 20
  6s + 7.50t ≥ 92
  t >7

• s + t ≤ 20
  6s + 7.50t ≥ 92
  t ≤ 7

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Tags

CCSS.8.EE.C.8B

Which system of equations represents the graph?

• y = -3/5x - 3
  y = 3x - 3

• y = - 5/3 x + 3
  x - 3y = 9

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)

• (1, -2)

• (-2, 1)

• (-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution.

x + 2y = 2

x = -4y + 2

• (-3, 0)

• (0, 2)

• (-3, -2)

• (2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6