Repeating Decimals to Fractions
Write 9.777777....
as a fraction in simplest form.
What is 9 7/9?
y = x + 4
y = 2x + 5
The solution (r,s) to the system of equations:
r + s = -6
r - s = -10
What is (-8, 2)?
x = 4y
2x + 3y = 22
A business owner wants to have the front window of her store painted and is considering two artists for the job. Kaylee has quoted a flat rate of $105 for the job. Sarah's quote is $13 per hour, plus $66 to cover the cost of materials. Depending on how long it takes Sarah to paint the window, these two could end up charging the same amount. How much would it cost? How long would Sarah have to take?
What is the cost would be $105 with either artist if the job took Sarah 3 hours.
Write 0.353535353535
as a fraction in simplest form.
What is 35/99?
The solution to the system of equations:
y = 3x - 2
2y = 6x - 4
What is infinitely many solution?
The solution (a,b) to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
y = x - 2
3x - y = 16
Two friends are growing their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Gwen's hair is already 30 cm long and grows at a constant rate of 2 cm per month. Lily's hair is 14 cm and growing at a speed of 3 cm per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will that take? How long will their hair be?
What is in 16 months, both girls' hair will be 62 cm long?
Write 4.51111111
as a fraction in smiplest form.
What is 4 23/45?
y = -3
x = 5
The solution to the system:
2x + 3y = 6
9y + 6x = 15
What is no solution?
y = 3x - 1
7x + 2y = 37
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 6 small chandeliers and 5 large chandeliers, which weighed a total of 473 pounds. In the second box, he packed 6 small chandeliers and 6 large chandeliers, which had a weight of 540 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
What is each small chandelier weighs 23 pounds and each large one weighs 67 pounds?
Write 0.64444444
as a fraction in simplest form.
What is 29/45?
y = (1/3)x - 3
2x - y = 8
The solution (a,b) to the system
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
The solution (s,t) to the system
3s - 2t = 4
t = 2s - 1
What is (-2, -5)
Oscar works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 23 strands of lights to decorate 3 bushes and 1 tree. This afternoon, he strung lights on 5 bushes and 1 tree, using a total of 33 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Oscar use on each?
What is Oscar decorated every bush with 5 strands of lights and every tree with 8 strands?