Rational Number Operations
(-9) - 15 =
-24
Maria mows ⅔ of lawn in ⅕ hour. How many similar-sized lawns can she mow in 1 hour?
3 1/3
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn at the end of 1 year?
$60
One side of a square is 14x + ¼ feet. What is the perimeter of the square?
56x+1 feet
Laura used 12 1/2 square feet of cloth to make 3 dresses. How many square feet of cloth are required to make 12 similar dresses?
50 square feet
Add -2 ⅖ and -1 ⅗
-4
A reindeer runs 20 ¼ miles in 3 hours. At that rate, how many miles does it run in 1 hour?
6 3/4
Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%. What was the discounted price of the bike?
$1040
Rina is 6x + ⅜ feet tall and Ryan is 5x + ⅛ feet tall. How much taller is Rina than Ryan?
1x + 1/4
Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?
13.5 meters
Add -23.5 and -7.3
-30.8
Ryan rides his bicycle 5 miles in ¾ hour. How many miles can he ride at the same rate in 1 hour?
6 2/3
Mr. Henry spent $15 on a new hat this week. He learned that the same hat was available on sale at $12 last week. What was the percentage increase in the price of the hat this week?
25%
The length of three sides of a triangle are 3x + ½, 2x + ¼, and x + ½. Find the perimeter.
6x + 5/4
An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the cookie increases by 25%. Which expression best represents the new length of the cookie?
1.25y
Subtract -5/12 - 3/4. Write answer as a mixed number in simplest form.
-1 1/6
The following ordered pairs represent a proportional relationship: (12, 32), (15, x), (21, 56). Find the value of x.
40
Sandra bought a pair of leather boots that were marked down by 20%. The original cost of the boots was $150. What did Sandra pay for the boots?
$120
Which expression is equivalent to 1/2 (6x + ½)?
3x + 1/4
A rain jacket that usually costs r dollars is available at a discount. Select two expressions to show the correct price of the rain jacket in the spaces provided.
1. The price of a rain jacket after a 20% discount:_____.
2. The price of the rain jacket after a 40% discount:_____.
1. 0.8r
2. 0.6r
Veronica had a puzzle with 45 pieces, but 2/5 of the pieces are missing from the box. How many pieces does Veronica have remaining in the box?
27
The ordered pairs (t, 36), (5, 45) represent a proportional relationship. Find the value of t.
4
Last year 90 schools participated in the State Spelling Bee. This year there were 20% more schools participating than last year. How many schools participated in the spelling bee this year?
108
What is the perimeter of a kite-shaped quadrilateral with 2 sides "a" and 2 sides "b"? Write in factored form #(#+#)
2(a+b)
An electric motor pumps water into a poll at a rate of 500 liters per hour. After a tune up, its rate increases by x liters per hour. If the motor now takes 3 hours to pump 1800 liters, in which equation does x represent the increase in speed after the tune up?
3(500+x)=1800