Systems of Equations Assessment (1st Half)

Suppose you have a total of $2.25 in dimes and nickels.  You have twice as many dimes, as nickels.  Which system of equations could be used to determine how many of each you have?

• 0.10d + 0.05n = 2.25
  d = 2n
• 0.05d + 0.10n = 2.25
  d = 2n
• 0.10d + 0.05n = 2.25
  n = 2d
• 0.05d + 0.10n = 2.25
  n = 2d

Tags

CCSS.HSA.CED.A.3

Academy sports equipment store is having a sale on bike helmets and water bottles.  One bike club purchased 10 helmets and 2 water bottles for $155.  Another bike club purchased 12 helmets and 3 water bottles for $189.  Which system of equations could be used to determine the cost of a bike helmet and a water bottle?

• 2h + 10b = 155
  12h + 3b = 189
• 10h + 2b = 189
  12h + 3b = 155
• 10h + 2b = 155
  12h + 3b = 189
• 10h + 3b = 155
  12h + 2b = 189

Tags

CCSS.8.EE.C.8C

Wendy had 35 coins in pennies and nickels.  She had $1.03.  Which system of equations could be used to determine the  number of coins she has?

• .01p + .05n = 35
  p + n = 103
• 1p + 5n = 1.03
  p + n = 35
• .01p + .05n = 1.03
  p + n = 35
• .05p + .01n = 1.03
  p + n = 35

Tags

CCSS.8.EE.C.8C

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Which system could be solved to determine the number of adult tickets (a) and student tickets (s) purchased?

• a+s=52.75
  5.5a+7.25s=8
• a + s = 8
  5.5a+7.25s=52.75
• a + s = 52.75
  7.25a+5.5s=8
• a + s = 8
  7.25a+5.5s=52.75

Tags

CCSS.HSA.CED.A.3

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

• x + y = 561

  45x+52y=12

• x + y = 12

  52x+45y=561

• x + y = 12

  45x+52y=561

• x + y = 561

  52x+45y=12

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation? 

• x + y = 1430
  20x + 50y = 49
• x + y = 49
  10x + 5y = 1430 
• x + y = 49
  20x + 50y = 1430
• x + y = 49
  x + y = 1430

Tags

CCSS.HSA.CED.A.3

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8A

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Tags

CCSS.8.EE.C.8A

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Tags

CCSS.8.EE.C.8B

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.8.EE.C.8B