Ratios and Proportionality
A hiker walks 3/4 of a mile in 1/2 of an hour. What is the hiker's speed in miles per hour?
3/2 miles per hour or 1.5 mph
a hiker starts at an elevation of 20 feet below sea level. She climbs 35 feet.
What is her new elevation?
15 feet above sea level
Simplify: 3(2x - 4) + 5x
11x -12
A blueprint of a house uses a scale of 1 inch to 8 feet. If a room measures 2.5 inches by 3 inches on the blueprint, what is the actual area of the room in square feet?
480 square feet
a school principal wants to know the favorite lunch menu item of the 800 students in the school. Which of the following methods would provide the most representative sample?
A: Surveying every 5th student who enters the school in the morning.
B: Surveying all the students on the basketball team.
C: Surveying 50 students sitting at single table in the cafeteria.
D: Surveying only the 7th graders
A: Surveying every 5th student who enters the school in the morning.
If a 2/3 pound bag of candy costs 4$, what is the price per pound?
6 dollars per pound
Find the distance between -4.5 and 2.5 on a number line
7 units
simplify: 1/2 (4y + 8)-3y
-y+4
a model car is built with a scale of 1 inch: 20 feet. If the actual car is 15 feet, how long is the model car?
0.75 inches (or 3/4 inch)
A basketball team and a field hockey team have their heights measured. The mean height of basketball players is 72.5 inches (MAD 3.58) and field hockey players is 64.76 inches. How many of the 12 basketball players are shorter than the tallest field hockey player (70 inches)?
4 basketball players
Which of the following table represents a proportional relationship?
table A:
x 2 4 6
y 5 10 15
table B:
x 3 5 7
y 7 9 11
Table A shows a proportional relationship
What is the product of
(-4.5) x (0.2) = ?
-0.9
A student has 500 ml of water and drinks 25% before soccer. How much water is left?
375 ml
A circular swimming pool has a diameter of 16 feet. What is the area of the pool? (pi=3.14)
200.96 square feet
Scenario:A student wants to estimate the mean word length in a book. They take a random sample of 20 words and find a mean length of 4.5 letters.
Question: Can the student conclude the mean length of all words in the book is exactly 4.5? How can they improve their estimate?
No, It is just an estimate.
which two criteria must a graph meet to be considered proportional?
1) straight line: the graph must be linear
2) origin: the line must pass through (0,0)
A submarine dives 20 feet every minute. What is the total depth change after 5 1/2 minutes?
-110 feet
A shirt costs 25$ and is marked 20% off. Sales tax is 5%. What is the final cost?
$21
A bicycle wheel has a radius of 14 inches. How far does the bicycle travel in one full rotation of the wheel?
88 inches
A bag contains 10 red marbles and 2 blue marbles. What is the probability of randomly picking a blue marble, and is it likely or unlikely?
unlikely
A pair of shoes costs 60$. They are on sale for 20% off. After the discount, a 5% sales tax is applied. What is the final price?
$ 50.40
A company loses $125.50 per hour for 5 1/2 hours. What is the total change in their profit?
$690.25
a smartphone originally costs $450. it is on sale for 20% off. After the discount, a 8% sales tax is applied to the sale price. What is the final cost of the smartphone?
$388.80
Two lines intersect. If one angle is 120 degrees, what are the measures of the other three angles?
Vertical angle:120 degrees
Adjacent angles: 60 degrees
A spinner has three equal-sized sections (Red, Yellow, Blue). You spin it and flip a coin (Heads, Tails). Draw a tree diagram and find the probability of landing on Red and flipping Tails.
6 total outcomes