Algebra 1_Systems_Practice

Benjamin, Kai, and Ethan are on a treasure hunt. They found a cryptic note that says:

'To find the treasure, solve this riddle'

x + y = -3

-x - y = 3

What could be the possible solution to this riddle?

• The treasure is at coordinates (0,0)

• The treasure is everywhere (Infinite solutions)

• There is no treasure (No solution)

• The treasure is at coordinates (-3,3)

Which graph shows is correct for this system?

y= x - 2

y= -⅓(x-6)

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• 
• 
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Solve this system?

x - 6y = 5

2x - 4y = 2

• ( -1 , -1 )

• ( 2 , ½ )

• ( -7 , -2 )

• ( 17, 2 )

Lily, Emma, and Mia are on a treasure hunt. They found a mysterious note with a riddle: 'Find the coordinates of the hidden treasure'. Can you help them solve it?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Charlotte, Lily, and Daniel are trying to solve a tricky math problem. Can you help them figure out how many solutions the problem has?

• One Solution

• No solution

• Infinitely Many Solutions

Benjamin, Zoe, and Michael are on a treasure hunt. They found a cryptic note with a system of equations:
y = 4x+1
3x + 2y = 13
They believe solving this will lead them to the next clue. Can you help them out?

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Benjamin and Anika are on a treasure hunt. They found a mysterious note with the following clues: 'The treasure is hidden at a point (x, y) where x = -3 and 2x + 3y = 6'. Can you help Liam to figure out the exact location of the treasure?

• (4,3)

• (-4,3)

• (-3,4)

• (3,-4)

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

• 10c + 5d = 14.25
  5c + 10d = 16.50
• 10c + 5d = 16.50
  5c + 10d = 14.25
• c + d = 10
  5c + 10d = 16.50
• c + d = 5
  5c + 10d = 16.50

Ava and Arjun decided to go on a shopping spree at a back-to-school sale where all shirts and shorts were priced the same. Ava, being the fashionista, spent $175 on 7 trendy shirts and 7 cool pairs of shorts. Arjun, on the other hand, bought 6 stylish shirts and 7 pairs of shorts, paying a total of $165. Can you figure out how much one shirt cost?

• $5

• $10

• $15

• $20

Zoe, David and Charlotte are having a friendly competition selling cookie dough for their school's charity event. Customers can choose between packages of white chocolate chip cookie dough and packages of gingerbread cookie dough.

Zoe, being the cookie queen, sold 10 packages of white chocolate chip cookie dough and 8 packages of gingerbread cookie dough, raising a total of $128. David, not far behind, sold 3 packages of white chocolate chip cookie dough and 4 packages of gingerbread cookie dough, adding $56 to the charity fund. Can you help Charlotte figure out the cost of each package of white chocolate chip cookie dough and gingerbread cookie dough?

• White Chocolate: $11

  Gingerbread: $4

• White Chocolate: $5

  Gingerbread: $14

• White Chocolate: $4

  Gingerbread: $11

• White Chocolate: $5

  Gingerbread: $18