Solving Systems of Inequalities and Equations

What is the solution of the system graphed?

• (-2,-3)

• -3

• (-3,-2)

• -2

Tags

CCSS.8.EE.C.8B

What is the y-value of the solution to the system below?

2x + 3y = 15

x + 2y = 8

• y = 1

• y = -1

Tags

CCSS.HSA.REI.C.9

Karen is two times as old as Ally. The sum of their ages is 55. If the variable k represents Karen's age, and the variable a represents Ally's age, which linear system could be used to solve for their ages?

• k = 2a

  k - a = 55

• a = 2k

  k + a = 55

• k = 2a

  k + a = 55

• a = 2k

  2a + k = 55

Tags

CCSS.8.EE.C.8C

If elimination is used to solve the system of equations, what is the result of the first step?

x - y = 13

x + y = 10

• 0 = 3

• 2y = 23

• 2x = 3

• 2x = 23

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Match the system to the graph (solution set 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

Match the system to the graph.

• y > -1/5x - 1/2   and  y ≥ -2x - 4

• y > -1/5x - 1/2  and  y ≤ -2x - 4

• y ≥ -1/5x - 1/2   and  y ≤ -2x - 4

• y < -1/5x - 1/2   and  y ≥ -2x - 4

Tags

CCSS.HSA.REI.D.12

Match the system to the graph. 

• y ≥ -x - 1 and y < x + 4

• y < -x - 1 and y ≥ x + 4

• y > -x - 1 and y ≥ x + 4

• y > -x - 1 and y ≥ x + 4

Tags

CCSS.HSA.REI.D.12

Match the system to the graph (solution set is the purple area)

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

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

Solve the system of equations .

• (3, 6)

• No Solution

• (-3, 6)

• (6, 3)

Tags

CCSS.8.EE.C.8B