Repeating Decimals
Convert 0.4545... into a fraction.
5/11
The solution to the system of equations:
y = 3x - 2
y = -1x - 2
(0, -2)
The solution to the system of equations:
1x + 1y = -6
1x - 1y = -10
(-8, 2)
The solution to the system:
x = 4y
2x + 3y = 22
(8, 2)
A number x plus a number y is 104. X minus y is 68. What are the numbers?
x + y = __
x - y = __
86 and 18
Convert 0.507507... into a fraction.
169/333
The solution to the system of equations:
y = 1x + 4
y = 2x + 5
(-1, 3)
The solution to the system:
8x + 5y = 21
2x - 5y = -1
(2, 1)
The solution to the system:
y = 1x - 2
3x - 1y = 16
(7, 5)
Luis bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt (x)? What was the cost of one hat (y)?
__x + __y = 700
__x + __y = 660
$30 shirt and $65 hat
Convert 2.300300... into a fraction.
2 100/333
The solution to the system of equations:
y = 0x - 3
x = 5
(5, -3)
The solution to the system:
2x + 3y = 6
3x + 5y = 15
(-15, 12)
The solution to the system
y = 3x - 1
7x + 2y = 37
(3, 8)
Mr. Jimenez donated a total of $28k to two different schools. Evergreen MS received $6,500 more than Pine Woods MS. How much did Pine Woods MS (x) receive? How much did Evergreen MS (y) receive?
x + y = ____
x + __ = y
$17,250 for Evergreen, $10,750 for Pine Woods
Convert 1.148148...
1 4/27
The solution to the system of equations
y = (1/3)x - 3
y = 2x - 8
(3, -2)
The solution to the system
2x - 4y = 12
-8x + 16y = -48
Infinitely many solutions
The solution to the system
3x - 2y = 4
y = 2x - 1
(-2, -5)
A rectangle has a perimeter of 78 inches. The length of the rectangle is twice its width. How long and wide is the rectangle?
W + W + L + L = __L = __ * W
Length: 26
Width: 13
Convert 4.78937893... into a fraction.
4 877/1111
The solution to the system of equations:
y - 3x = 3
y = 3x - 2
No solution
The solution to the system:
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
(24, 8)
The solution to the system
x + y = 12
y = (1/3)x
(9, 3)
Zaira sold tickets to a football game. General admission tickets cost $5.00. Premium tickets cost $7.50. 600 tickets were sold and the total amount was $3500. How many general admission tickets (x) did she sell? How many premium tickets (y) did she sell?
__x + __y = $3500
x + y = ____
400 general admission tickets, 200 premium tickets