Geometry
What is the formula to find the perimeter of a rectangle?
Length + Length + Width + Width or anything that shows this idea.
Does the following set of ordered pairs represent a function?
A = {(1,8), (2, -5),(3, -7) ,(3, 4)}
Yes or no?
No, 3 (input) has two different y-values (outputs)
7000 m
Represent 6/8 as a percentage.
75%
State the Pythagorean Theorem
a^2 (short side 1) + b^2 (short side 2) = c^2 (big side)
Find the area of a square whose side is measured to be 5 ft.
25 ft^2
What is the formula we use to compute(calculate) the slope of a linear function?
slope = change in y/change in x = delta y / delta x
Covert 1 yard to inches. Remember that 1 ft = 12 inches, and 1 yd = 3 ft.
36 inches
A phone that usually costs $600 has a discount of 25%, what is the cost of the phone after the discount? (Ignore the tax)
$450
What is the decimal form of the following percentage?
56%
0.56
Find the area of a triangle that has a base of 10 m and a height of 20 m.
100 m^2
For a linear function expressed in the slope-intercept form y = mx +b, explain what m and b represent. How do changes to these values affect the graph of a line?
m= slope , b = y-intercept. If slope is changed, the line might increase/decrease faster or slower. If y-int is changed then the line will cross the y-axis at a different value.
A school covers an area of 75,000 ft2. What would be the area of the school if we wanted the units to be in yd? Note that 1 yd = 3ft. Round up your answer to the nearest tenth.
Approximately 8333.3 yd^2
Imagine you invested $400 in a stock, and it increased to $700. Calculate the percent change.
75%
base x height / 2 or 1/2 x base x height
Find the length of the missing side (b) of the following triangle using the Pythagorean Theorem.
a = 5 cm (short side), b =? cm (short side), c = 8 cm (longest side)
sqrt(39) or approximately 6.245
What is the slope of the line that crosses through the points (-3, -1) and (4, 2)
Slope = 3/7
Convert 1 km per hour to miles per hour. Remember that 1 mile is approximately 1609.34 meters. Write your answer in scientific notation with the mantissa rounded to 4 decimal places.
6.2137 x 10^-1 mph
Provide the equation for an initial value of 576, and a growth rate of 27%. The equation should be in the form y=a(1+r)^x
y = 576(1+0.26)^x
From what country is Dr. Moon from?
South Korea!
A flat-screen television is advertised as being 52 inches on its diagonal. If the TV is 17 inches tall, then how wide is the screen?
A town's population has been growing linearly. In 2010, the population was 13,000 and the population has been growing by 600 each year. Create a function P(x), where P(x) is the population and x represents the years that have passed which represents the linear model, and find the town's population by the year 2025.
P(x) = 13,000 + 600x
By the year 2025, the population will be 22,000.
Convert 1 meters per second (ms-1) to kilometers per hour (kmh-1)
3.6 km per hour
The population of Italy was 50 million in 2015, and it is said to grow exponentially by 1.27% each year. What would Italy's population be by the year 2040?
Approximately 68.55 million by the year 2040.
A function is a relation in which every input value is paired with exactly one output value.