Rational Operations
-3(-7)(-2)(2) ÷ -4
21
A rectangle is 14 inches long and 4 inches wide. A smaller, similar rectangle is 2 inches wide. To the nearest inch, what is the length of the smaller rectangle?
7in
75 = 10x + 5
x = 70
T drove 366 miles in 6 hours at a constant speed. How long would it take him to drive 427 miles at that speed?
7 hours
There are 30 marbles in a bag. Nine are yellow, 8 are white, 6 are blue, and 7 are purple. Which is most likely to be chosen at random?
yellow
At 6am, the temperature was -12 degrees. At noon the temperature was 4 degrees. What was the change of temperature between 6am & noon?
6 degrees
On a scale drawing, the image of an alligator is 7 inches long. The scale factor is 1/25. What is the actual length of the alligator in inches?
175 in
-3x + 2 < 8
x > -2
Fifty pounds of dog food costs $117.50. What is the cost per pound of dog food?
$2.35
Betty has 2 winter coats, 4 hats, and 3 scarves. If she wears 1 coat, 1 hat, and 1 scarf at a time, how many different outfit combinations can she make?
24
The ground temperature at DFW airport is 25 degrees. For every 500 feet gained in altitude, the temperature outside the plane drops 2.7 degrees. At an altitude of 6,500 feet, what will likely be the outside temperature?
-10.1 degrees
According to the Royal Canadian Mint Act, a 50-cent Canadian coin must have a diameter of 27.13 millimeters. To the nearest hundredth, what is the circumference of this coin in millimeters?
85.19
Artie owns a bicycle company. He charges a fee of $12 plus $3 per hour. What equation represents this relationship?
y = 3x + 12 OR y = 12 + 3x
On a map, the distance between two cities is 5.8 cm. The map scale is 1 cm : 73 km. What is the actual distance between the two cities?
423.4km
A middle school has 745 students. Dan surveys a random sample of 72 students and finds that 46 have pet cats. How many students at the school are likely to have pet cats?
476
Jordan buys 2 shirts for $9.50 each, a a 3-pack of socks for $7.95, and a pair of shoes for $49.95. The sales tax is 9%. To the nearest cent, what is the total cost of Jordan's purchases?
$83.82
A square pyramid has a base with side lengths of 12 centimeters. Each side of the pyramid is a triangle with a 12-centimeter base and a height of 10 centimeters. What is the surface area of this pyramid?
384cm2
What equation represents the data shown in the table?
cost (y) 5 10 15 20
gallon (x) 2 4 6 8
y = 2.5x OR y = 5/2x
A supermarket is having a sale on chicken noodle soup. The sale is 13 cans of soup for $12.45. What is the price of each can of coup? (Round to the nearest cent.)
96 cents each
A diner has a breakfast special. A customer can chose scrambled, fried, or poached eggs. The breakfast comes with a side of bacon, sausage, or fruit salad. The customer can choose coffee, tea, or milk. How many different combinations of eggs, side, and drink does a customer have to choose from?
27
Tomas bought a movie that originally cost $37.99 on sale for 25% off. He paid 6.5% sales tax. How much did Tomas pay for the movie? (Round to the nearest cent.)
$30.34
One circle has a diameter of 6 inches. A second, larger circle has a diameter of 4 times the first circle. What is the ratio of the area of the smaller circle to the larger circle?
1:16
1/5c- 10 > 20
c > 150
A restaurant has a new drink flavor they want to test out. They made 6 gallons of the drink & they plan to split it into 3 oz. cups. How many cups do they need to buy?
HINT: convert gal --> oz
256
Jim asked 50 of his co-workers the color of their cell phone. Eleven people have red phones, 14 people have blue phones, 9 people have silver phones, and 16 people have black phones. What is the probability that the next person he asks has a blue phone?
7/25 or 28%