Mutually exclusive means that two sets of numbers have no numbers in common. Name two subsets of real numbers that are mutually exclusive. Explain.

The surface-speed record set by the lunar rover on the moon is 10.56 miles per hour. At that speed, how far would the rover travel in 3.5 hours?

The population of a certain bacteria doubles in size every 3 hours. If a population begins with one bacterium, how many will there be after one day? Simplify the expression $1 \cdot(2)^8$ to determine the population after one day.

Two friends compare the amount of change they have in their pockets. Ashley has 12 nickels, 2 dimes, and 4 quarters. Beto has 10 nickels, 4 dimes, and 3 quarters. Who has more money?

a. Write an expression to represent the value of Ashley's money. (Hint: Use 10 cents to represent the value of each dime, 5 cents for each nickel, and so on). Simplify the expression.

b. Write an expression to represent the value of Beto's money. Simplify the expression.

c. Compare the value of money that each friend has. Who has more?

Which triangle is a right triangle?

A. a triangle with angle measures of $45^{\circ}, 45^{\circ}$, and $90^{\circ}$

B. a triangle with angle measures of $40^{\circ}, 110^{\circ}$, and $30^{\circ}$

C. a triangle with angle measures of $55^{\circ}, 45^{\circ}$, and $80^{\circ}$

D. a triangle with angle measures of $60^{\circ}, 60^{\circ}$, and $60^{\circ}$

Given a rectangle with a width w = 6 ft and length l = 3 ft,

a. Find the area of the rectangle.

b. The number of square feet is a member of which subset(s) of real numbers?

In the last hour, 7 planes have landed at the airport and 11 planes have taken off. Use addition to find the change in the total number of planes at the airport in the last hour.

Martha had $500 in her checking account. She made a withdrawal of$34.65. Write and solve an addition problem to find Martha's balance after the withdrawal.

A right circular cylinder has a base radius of 56 mm and a height of 128 mm What is its volume in cubic centimeters? Round the answer to the nearest hundredth. Use 3.14 for $\pi$.

Two students solved this problem. Which student is correct? Explain the error.

The elevator started on the second floor and went up 8 floors, then down 11 floors to the garage level, and then up 6 floors. Which floor is the elevator on now?

Use the table of the Profit and Loss Report of ABC Company. What was the total profit or loss for the year? [( ) indicates a loss.]

The surface area of a rectangular prism is $2 l w+2 l h+2 w h$. Two students determined the variables in the formula. Which student is correct? What was the error of the other student?

Raul had $500 in his checking account. He wrote checks for$157.62 and $43.96. Then he deposited$225. Find Raul's balance after these three transactions.

Student A and Student B each added the numbers -4.8 and 3.6 as shown below. Which student is correct? Explain the error.

Student A

$$\begin{aligned} &-4.8+3.6\\ &|-4.8|=4.8\\ &|+3.6|=3.6\\ &\quad4.8\\ &\ \underline{+3.6}\\ &\quad 8.4\\ &\quad 8.4 \end{aligned}$$

Student B

$$\begin{aligned} &-4.8+3.6\\ &|-4.8|=4.8\\ &|+3.6|=3.6\\ &\quad4.8\\ &\ \underline{-3.6}\\ &\quad 1.2\\ &\quad 1.2 \end{aligned}$$