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WorksheetsAlgebra 1_Systems_Practice
Total questions: 13
Worksheet time: 1hrs 11mins
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)
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)
This system has how many solutions?
One Solution
No solution
Infinitely Many Solutions
Solve the System:
y = 4x+1
3x + 2y = 13
(1, 5)
(5, 1)
Infinite Solutions
No Solution
Solve the System: where x = -3 and 2x + 3y = 6'.
(4,3)
(-4,3)
(-3,4)
(3,-4)
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
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
Solve the System: 3x - 2y = 4 and x + y = -2.
(2, 0)
(0, -2)
(-2, 0)
(3, -2)
Lucas and Olivia are trying to determine the cost of apples and bananas. On Monday, Lucas bought 4 apples and 3 bananas for $10. On Tuesday, Olivia bought 2 apples and 5 bananas for $11. Which equations could be used to find the cost of each fruit?
4a + 3b = 10
2a + 5b = 11
4a + 3b = 11
2a + 5b = 10
a + b = 4
2a + 5b = 11
a + b = 3
4a + 3b = 10
Solve the System: 2x + y = 7 and x - y = 2.
(3 ,1)
(1, 2)
(2, 7)
(1, 3)
