Solving Systems of Inequalities and Equations

How do you know which side of the line to shade when graphing a linear inequality?

• shade to the right if it's greater than
• shade to the right if it's less than
• test a point
• if it's "or equal to", shade both sides

Tags

CCSS.HSA.REI.D.12

Find the solution to the system.
x − y = 3
7x − y = −3

• (4, 1)
• (-1,-4)
• (-1,-1)
• ( 1, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution to the system using substitution. 
4x – 3y = 5
y = 2x – 3 

• (2,1)
• (1,2)
• (2,2)
• the answer is not listed

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system of equations.
y = 1/2x + 2
y = -3x + 9

• (2,3)
• (-2,-3)
• (3, 2)
• (-3,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

If two lines have the same slopes but different y-intercepts, how many solutions will there be when both functions are graphed on the same coordinate plane?

• None
• One
• Two
• Infinite

Tags

CCSS.8.EE.C.8B

What is the solution to this system?
x = 7 - 2y
2x + y = 5

• (-1,4)
• (4,-1)
• (1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system using the method of your choice.  

• (1, -5)
• infinite solutions
• (-4, 1)
• No solution

Tags

CCSS.8.EE.C.8B

A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is $530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee.

• r - 4m = 370
  r - 6m = 530
• r + 4m = 370
  r + 6m = 530
• m + 4r = 370
  m + 6r = 530
• m - 4r = 370
  m - 6r = 530

Tags

CCSS.HSA.CED.A.3