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In the figure above, lines m and n are parallel. What is the value of b ?

For the function f, if for all values of x, what is the value of ?

The scatterplot above shows the size x and the sale price y of 25 houses for sale in Town H. Which of the following could be an equation for a line of best fit for the data?

Kao measured the temperature of a cup of hot chocolate placed in a room with a constant temperature of 70 degrees Fahrenheit (°F). The temperature of the hot chocolate was 185°F at 6:00 p.m. when it started cooling. The temperature of the hot chocolate was 156°F at 6:05 p.m. and 135°F at 6:10 p.m. The hot chocolate’s temperature continued to decrease. Of the following functions, which best models the temperature , in degrees Fahrenheit, of Kao’s hot chocolate m minutes after it started cooling?

The graph of the polynomial function $f$, where $y=f\left(x\right)$, is shown. The y-intercept of the graph is $\left(0,y\right)$. What is the value of $y$?

The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the xy-plane?

A bag contains a total of 60 marbles. A marble is to be chosen at random from the bag. If the probability that a blue marble will be chosen is 0.35, how many marbles in the bag are blue?

In the xy-plane, line k is defined by . Line j is perpendicular to line k, and the y-intercept of line j is . Which of the following is an equation of line j ?

The scatterplot shows the relationship between two variables, $x$ and $y$. A line of best fit for the data is also shown.

At $x=32$, which of the following is closest to the y-value predicted by the line of best fit?

In the figure above, is parallel to . What is the length of ?

A circle in the xy-plane has equation . Which of the following points does NOT lie in the interior of the circle?

The average annual energy cost for a certain home is $4,334. The homeowner plans to spend $25,000 to install a geothermal heating system. The homeowner estimates that the average annual energy cost will then be $2,712. Which of the following inequalities can be solved to find t, the number of years after installation at which the total amount of energy cost savings will exceed the installation cost?

A store manager reviewed the receipts from 80 customers who were selected at random from all the customers who made purchases last Thursday. Of those selected, 20 receipts showed that the customer had purchased fruit. If 1,500 customers made purchases last Thursday, which of the following is the most appropriate conclusion?

Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x ?

In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?

Which of the following expressions is equivalent to ?

Over this 5-day period, which of the following is NOT equal to 81°F?

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 ?

The number of penguins in a zoo exhibit, sorted by gender and type of penguin, is shown in the table above. Which type of penguin has a female population that is the closest to being of the total female penguin population in the exhibit?

The population of a town is currently 50,000, and the population is estimated to increase each year by 3% from the previous year. Which of the following equations can be used to estimate the number of years, t, it will take for the population of the town to reach 60,000 ?

A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?

The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Which of the following statements are true about the number of students who completed summer internships for the 5 years shown?

1. The mean number from Foothill High School is greater than the mean number from Valley High School.
2. The median number from Foothill High School is greater than the median number from Valley High School.

If , which of the following is equivalent to ?

The graph of the function f is a line in the xy-plane. If the line has slope and , which of the following defines f?

The graph represents the total charge, in dollars, by an electrician for $x$ hours of work. The electrician charges a onetime fee plus an hourly rate. What is the best interpretation of the slope of the graph?