In the year 2000, the total amount of paper recycled in the US was 37 million tons. The population of the United States in 2000 was 281.4 million. On average how much paper did each person recycle?
What is
7.6 tons/person on average
100
14=−(p−8)
What is
x = -6
100
Simplify x^4/x^2
x^2
100
Solve for x.
2x = -4 - 6
x = -5
100
Write down an example of a linear function.
What is
y = 4x + 2
y = 2 + 4x
200
If the mass of a proton is 1.67 x 10^-24 gram, what is the mass of a 1,000 protons?
What is
1.67 x 10 ^-21 grams
200
−(7−4x)=9
What is
x = 4
200
Simplify (x^7) x (x^-3)
x^4
200
Solve for x.
3 (x +2) = 12
x = 2
200
Write down an example of an equation that is not a linear function.
Write down an example of an equation that is not a linear function.
y = x^-2 + 5
300
Two objects are 2.4 x 10^20 centimeters apart. A message from one object travels to the other at a rate of 1.2 x 10^5 centimeters per second. How many seconds does it take the message to travel from one object to the other?
What is
2.88 x 10^25
300
5n+34=−2(1−7n)
What is
n = 4
300
Simplify x^-3 / x^-6
x^3
300
Solve for x.
2(2x + 3) = 12
x = 3/2
300
Is y = (1/3)x considered a linear function if x is part of the numerator?
Yes
400
In 2000, there were 97.4 million households with telephones. The people in these households made a total of 641 billion phone calls altogether. What was the average number of phone calls each household made?
What is
658 phone calls
400
−(1+7x)−6(−7−x)=36
What is
x = 5
400
Simplify
(9^3 x 9^-2 x 9^4) / (9^2)
9^3
400
What is the solution to the equation below?
2(x − 3) = 2x + 5
No Solution
400
Is y = 3/x considered a linear function?
Is y = 3/x considered a linear function?
No, the represented function is equivalent to x^-3.
500
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per hour? Use scientific notation to express this.
What is
1.6776 x 10^12
500
24a−22=−4(1−6a)
What is
No solution
500
Simplify
(8^-3 x 8 ^-2 x 8^4) / (8^-10)
8^9
500
Solve for x.
-3(x +4) - 5 = 2(x +2)
x = -21/5
500
Is the resulting equation of (x^3) x (x^-2) considered a function?
Yes
The resulting equation would be y = x; therefore it would be a function.