Solving and Graphing Linear Equations and inequalities

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When you graph an inequality, you used a solid line when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.HSA.REI.D.12

How many solutions does this system of equations have?

• one solution

• two solutions

• three solutions

• no solutions

Tags

CCSS.HSA.REI.C.7

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 inequalities by graphing.

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

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.CED.A.2

CCSS.HSA.CED.A.3

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.CED.A.2

CCSS.HSA.CED.A.3

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.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

• b + t < 15
  3b + 6t > 66
• b + t > 15
  3b + 6t < 66
• 3b + 6t > 15
  b + t < 66
• 3b + 6t < 15
  b + t < 66

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6