Systems of Equations

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What is the solution to this system?
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What is the solution to this system?
x - y = 6
y= 2x - 5

• (1,3)
• (-1,3)
• (-1,-7)
• (1,-7)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve:
y = 7x + 9
2y + 2x = -18

• (5, 0)
• (9, 18)
• (-2, -5)
• (1, 16)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution
• ARN
• (-3,3)
• (3,3)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables

x: reserved

y: field-level

z: box seats

• $x+y+z=370$
  $20x+50y+z=100$
  $2x=y$
  

• 
  

  $x+y+z=10$
  $20x+50y+100z=370$
  $x=2y$
  

• $2x+y+z=370$
  $20x+50y+100z=2$
  $2z=x$
  

Tags

CCSS.HSA.CED.A.3

 $5x+6y-7z=-10$  

 $2x-3y+2z=38$  

 $3x=24$  

Solve for x

• 7

• 9

• 8

• 6

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.B.3

 $8x+3y+7z=7$  

 $2y+3z=-4$  

 $4y=-20$  

Solve for z

• z = -5

• z = 2

• z = -14/3

• z = 5

Tags

CCSS.HSA.REI.C.6

A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins costs $2 per pound, sunflower seeds cost $1 per pound, and chocolate-covered peanuts cost $1.50 per pound. The total cost for the mixture is $14.50. Set up the system of equations using the following:

x: raisins
y: sunflower seeds
z: chocolate-covered peanuts

•  $x+y+z=\text{14}.50$  
   $2x+y+1.50z=9$  
   $x=2y$  
  

•  $x+y+1.5z=9$  
   $2x+y+z=14.50$  
   $2x=y$  
  

• 
  

   $x+y+z=9$  
  

   $2x+y+1.50z=14.50$  
   $x=2y$  
  

Tags

CCSS.HSA.CED.A.3