A researcher surveyed 200 adults selected at random from the city of Aldley and 300 adults selected at random from the suburbs of Aldley. Each person surveyed was asked whether he or she owns a car. Some of the results are shown in the partially completed table below.

The researcher found that an adult surveyed in the suburbs of Aldley is twice as likely to own a car as an adult surveyed in the city of Aldley. Of the following, which could be the value of x ?

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

An equation is given in the form of ax + by + c=0. Here, 'a' and 'b' are real values and coefficients of x and y. Then, the equation is said to be a linear equation within the two variables. Examples of linear equations with two variables include x+4y = 3 and -x+5y = 2. Solution of a Linear Equation in 2 Variables: A pair of numbers (x, y), one for 'x' and the other for 'y,' that make the two sides of the equation equal. It is the solution of a linear equation in 2 variables. For instance, (0,4) is one of the answers if 2x + y = 4 since it satisfies the equation. A two-variable linear equation has infinite solutions.

ax - 4 (3 + 2x) = -12
In the equation above, a is a constant. For what value of a does the equation have infinitely many solution?

If n is a positive integer, which of the following is the equivalent to the expression above?

In the system of equation below, a and c are constant

If the system of equation has an infinite number of solutions (x , y), what is the value of a ?

The number y is 20% greater than the number x. The number z is 20% less than y. The number z is how many times x?

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?