The total area of a coastal city is 92 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010 , which of the following is closest to the population density, in people per square mile of land area, of the city at that time?

$f left parenthesis x right parenthesis equals x cubed minus 9 x$
$g left parenthesis x right parenthesis equals x squared minus 2 x minus 3$
Which of the following expressions is equivalent to $fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction$ , for x > 3 ?

A customer's monthly water bill was $straight $ 75.74$ . Due to a rate increase, her monthly bill is now $straight $ 79.86$ .To the nearest tenth of a percent, by what percent did the amount of the customer's water bill increase?

If $a to the power of b over 4 end exponent equals 16$ for positive integers a and b , what is one possible value of b ?

The table above shows the flavors of ice cream and the toppings chosen by the people at a party. Each person chose one flavor of ice cream and one topping. Of the people who chose vanilla ice cream, what fraction chose hot fudge as a topping?

Some values of the linear function $f$ are shown in the table above. What is the value of $f left parenthesis 3 right parenthesis$ ?

$square root of 2 x plus 6 end root plus 4 equals x plus 3$
What is the solution set of the equation above?

A gear ratio r:s is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is s:r. In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.

If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?

The number of teeth has an inverse relationship with revolutions per minute (rpm) when two gears are mashed. Two quantities are considered to be in inverse proportion when they are related to one another in this way, that Two quantities are considered to be in inverse proportion when they are related to one another when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, where y and x are inversely proportional, the formula is written as y = k/x.s, when a rise in one quantity causes a reduction in the other and vice versa. The sum of the two provided quantities equals a constant amount in inverse proportion. The inverse proportion formula can establish a relationship between two inversely proportional quantities. Assume that x decreases when y increases and vice versa for the two numbers, x and y. Example: The relationship between time and speed is inverse. The time it takes us to travel a certain distance lowers as our speed rises. Using speed as y and time as x, y, x are inversely proportional and are technically represented as inverse proportion formula. The inverse proportional formula is written as,
y = k/x

A gear ratio r:s is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is s:r. In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.

If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?

Which of the following is equivalent to $open parentheses a plus b over 2 close parentheses squared$ ?

In the xy-plane, the graph of $2 x squared minus 6 x plus 2 y squared plus 2 y equals 45$ is a circle. What is the radius of the circle?

A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.35 pounds, and each container of fabric softener weighs 6.2 pounds. The service wants to buy at least twice as many containers of detergent as containers of fabric softener. Let d represent the number of containers of detergent, and let s represent the number of containers of fabric softener, where d and s are nonnegative integers. Which of the following systems of inequalities best represents this situation?

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y greater than 2 x minus 1 end cell row cell 2 x greater than 5 end cell end table$
Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?

Two different points on a number line are both 3 units from the point with coordinate -4. The solution to which of the following equations gives the coordinates of both points?