Water quality managers estimate that a population of algae initially covered  square miles of water in a nearby river. After a period of time, the algae grew to cover 375% of its original area. Which of the following expressions represents the area of water, in square miles, that the algae covered after this period of time?

Which of the following graphs could represent the relationship between the number of manuscripts, , and the cost, , of acquiring ISBNs for the manuscripts?

Costs of some steps to publish a manuscript can vary, as shown in the table.

Ewan writes 30 manuscripts and wants to get them published. What is the minimum cost, in dollars, for professional review of Ewan's manuscripts?

What is the solution to the given equation?

The scatterplot shows the average price per square foot of a house in the United States each year for several years. A line of best fit for the data is also shown.

The line of best fit predicted that the average price per square foot in 2001 would be . What is the difference between the predicted value and the actual average price per square foot in 2001 ?

In the given equation, k is a constant. The equation has no solution. What is the value of k?

 

An inconsistent system is a set of equations for which no solution exists.
One solution of the system is shown as x = y = z = 0. D must be zero for endless solutions (including non-zero ones). There are thus two possible possibilities for k, but there is only one non-zero answer, e.g.: The value of K can be 2 or 0.5.

4x + y = 7
2x - 7y = 1
If(x, y) is the solution to the given system of equations, what is the value of x ?

The graph of  where a and c are constants, is shown. What is the value of a ?

x² - 2x – 1 = 0
The equation above has solutions  and  where n and k are positive integers. What is the value of n + k ?

An office building has a room with a square-shaped floor. The actual length of the floor is 90 times the length of the floor on a blueprint drawn to scale. The actual area of the floor is p times the area of the floor on the blueprint. What is the value of p ?

In the figure shown, BC is parallel to AD and AB =CD . What is the perimeter of quadrilateral ABCD?

A manager purchased cones for ice cream. Find a formula for the length of the radius , in terms  of its volume V.

 

For such questions, we should know the formula of cone.

The function  is defined by  For what value of x does  ?

4T - 8D = 12H
The given equation can be rewritten as
T = aD + bH , where a and b are constants. What is the value of a?

A constant is a fixed value that does not change. Symbols such as a, b, c, etc., often represent constants. These constant symbols are used in algebraic expressions and equations to represent fixed values that do not change as per the above question; a and b are constants.

What value of n satisfies the given equation?

Solve for  in terms of  for the given 

For such questions, we should know the concept of functions.