Ratios and Proportional Relationships
A person jogs 1/2 mile in 1/4 hour. What is their unit rate in miles per hour?
2 miles per hour
What is the value of 5-(-3)
8
The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
21 cm
A scale drawing of a park has a scale of 1 inch to 50 feet. If the length of the park in the drawing is 3 inches, what is the actual length?
150 feet
Kate wants to know the average cost of a gallon of milk in her city. She checks the three grocery stores closest to her house, Is this a valid random sample? Why or why not?
No
If 8 cars are needed for every 2 trucks (c=4t), what is the constant of proportionality?
4
Solve -10x-1/2
5
A store offers a 20% discount on an item with original price x. Which expression represents the new price?
x-0.20x or 0.80x
How many distinct triangles can be drawn with angles of 60, 60, and 60?
Infinitely many
A random sample of 50 students shows 30 prefer pizza. If there are 500 students, how many perfer pizza?
300
A restaurant bill is $115.00. The diners leave a 22% tip and pay 8% sales tax on the original bill. What is the total cost?
$180
A submarine is at -50 meters and descends another 25 meters. What is its new position?
-75 meters
A woman earns $25 per hour and receives a 10% raise. What is her new hourly salary?
Her new salary is $27.50
If you slice a cone horizontally, what is the resulting shape?
A circle
A jar has 1 green, 4 blue, 3 red, and 10 black pens. What is the probability of picking green?
1/18
If 5 1/2 gallons of gas cost $10.25, what is the price per gallon?
$1.86 per gallon
A 637.5-mile road trip covers 300.1 miles the first day and 286.54 miles the second day. How many miles remain?
50.86 miles
3(2x+4)-5x+2
x+14
Find the circumference of a circle with a radius of 8 cm.
50.24 cm
If 12 out of 80 balloons are pink, what is the theoretical probability of picking a pink one?
12/18
The number of visitors to a park increased from 300 to 345. What is the percent increase?
15% increase
Temperature was 75.6F at noon, rose 6F in the afternoon, and dropped 12.3F by 8:00 P.M. What was the temperature at 8:00 P.M.?
69.3F
A boat can carry 1200 lbs. It has 200 lbs of fixed gear, plus 10 lbs of gear per person. If each person weighs 150 lbs on average, what is the maximum number of people (p) allowed?
6 people
A circle has a radius of 6.2 cm. What is the area?
120.7016 cm
A spinner with Blue, Red, and Green lands on a color, and a number cube (1-6) is rolled. If the spinner is divided equallly into three parts and the cube is standard, what is the probability of landing on Blue AND rolling an even number?
3/18