How many solutions does the equation  have?

Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. She must mix a second batch using the same ratio of blue and yellow paint as the first batch. If she uses 5 ounces of blue paint for the second batch, how much yellow paint should Anita use?

Line t is shown in the xy-plane below.

What is the slope of line t ?

In 1854, during the California gold rush, each ounce of gold was worth $20, and the largest known mass of gold found in California was worth $62,400 in that year. What was the weight, in pounds, of this mass of gold? (16 ounces = 1 pound)

For the function f, if f(3x) = x - 6 for all values of x, what is the value of f(6) ?

A function is defined as the relationship between a set of inputs and one output. In simple terms, it is a relationship between inputs in which each input corresponds to exactly one output. Every function has its domain and codomain, as well as a range. The general notation for a function is f(x), where x is the input. A function is represented as y = f(x).
¶Functions are the foundation of calculus in mathematics and represent the various types of relationships. A function is defined as a rule that produces a different output for each input x in mathematics. A function is denoted by mapping or transformation in mathematics.

The given diagram represents Edward T. Hall's concept of space surrounding a person defined by 4 nonoverlapping regions. Intimate space is the region inside a circle of radius 1 foot. Personal space is the region within a circle of redius 4 feet but outside Intimate space. Social space is the region within a circle of radius 12 feet but outside personal space. Public space is the region within a circle of radius 25 feet but outside social space. What is the area, in square feet, of the shaded region representing a person's social space?

A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?

The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?

In the xy plane, line l has a slope of 2. If line k is perpendicular to line l, which of the following could be an equation of line k?

A psychologist designed and conducted a study to determine whether playing a certain educational game increases middle school students' accuracy in adding fractions. For the study, the psychologist chose a random sample of 35 students from all of the students at one of the middle schools in a large city. The psychologist found that students who played the game showed significant improvement in accuracy when adding fractions. What is the largest group to which the results of the study can be generalized?

A circle in the xy‑plane has equation (x + 3)²  +  (y – 1)² =  25. Which of the following
points does NOT lie in the interior of the circle?

g(t) = -0.34 (t - 5.51)² + 8.26
The function g above models the growth rate of a certain plant, in millimeters per day (mm/day), in terms of the watering time t, in minutes per day (min/day). What is the meaning of (5.51,g(5.51)) in this context?

In the given equation, k is a constant. If the equation has exactly one solution, which of the following could NOT be the value of k ?

In the xy‑plane above, a point (not shown) with coordinates (s, t) lies on the graph of the linear function f. If s and t are positive integers, what is the ratio of t to s ?

From 2005 through 2014 , the number music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005 , approximately 600 million CDs were sold in the United States. Of the following, which best models C, the number of millions of CDs sold in the United States, t years after 2005 ?

The graph of the equation ax + ky = 6 is a line in the xy-plane, where a and k are constants. If the line contains the points (-2 , -6) and (0 , -3), what is the value of k ?