Writing Systems & Solving Review

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38

  2s + 3c = 52

• 3s + 1c = 38

  3s + 2c = 52

• s + c = 38

  s + c = 52

• 3s + 3c = 38

  1s + 2c = 52

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

• d + n = 6.60

  .10d + .05n = 80

• d + n = 80

  d + n = 6.60

• d + n = 80

  .10d + .05n = 6.60

• d + n = 80

  .05d + .10n = 6.60

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Identical line
• Parallel lines

Tags

CCSS.8.EE.C.8A

^{What is the solution to the system?} 

• (1,1)
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

What system of equations is graphed?

• 

  $y=-x+3$
  

  
  $y=x-7$
  

• $y=-x+4$
  $y=x-8$
  

• $y=2x+4$
  $y=-2x-8$
  

• $y=4x-1$
  $y=-8x+1$
  

What is the solution for the system of equation from this table?

• (2,0)

• (0,2)

• (-1, 4)

• (4, -1)