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$\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline<br/>18 & 130 \\ \hline<br/>23 & 160 \\ \hline<br/>26 & 178 \\ \hline \end{tabular}$<br/><br/>For line $h$, the table shows three values of $x$ and their corresponding values of $y$. Line $k$ is the result of translating line $h$ down 5 units in the $xy$-plane. What is the $x$-intercept of line $k$?

MathAlgebra

The function $h$ is defined by $h(x)=4x+28$. The graph of $y=h(x)$ in the $xy$-plane has an $x$-intercept at $a,0$ and a $y$-intercept at $0,b$, where $a$ and $b$ are constants. What is the value of $a+b$?

MathAlgebra

Each of the following frequency tables represents a data set. Which data set has the greatest mean?<br/><br/>$\begin{tabular}{|c|c|} \hline \begin{tabular}{c} \textbf{Value} \\ \end{tabular} & <br/>\begin{tabular}{c} \textbf{Frequency} \\ \end{tabular} \\ \hline<br/>70 & 4 \\ \hline<br/>80 & 5 \\ \hline<br/>90 & 6 \\ \hline<br/>100 & 7 \\ \hline \begin{tabular}{c} \textbf{Value} \\ \end{tabular} & <br/>\begin{tabular}{c} \textbf{Frequency} \\ \end{tabular} \\ \hline<br/>70 & 6 \\ \hline<br/>80 & 6 \\ \hline<br/>90 & 6 \\ \hline<br/>100 & 6 \\ \hline \begin{tabular}{c} \textbf{Value} \\ \end{tabular} & <br/>\begin{tabular}{c} \textbf{Frequency} \\ \end{tabular} \\ \hline<br/>70 & 7 \\ \hline<br/>80 & 6 \\ \hline<br/>90 & 6 \\ \hline<br/>100 & 7 \\ \hline \begin{tabular}{c} \textbf{Value} \\ \end{tabular} & <br/>\begin{tabular}{c} \textbf{Frequency} \\ \end{tabular} \\ \hline<br/>70 & 8 \\ \hline<br/>80 & 5 \\ \hline<br/>90 & 5 \\ \hline<br/>100 & 8 \\ \hline \end{tabular}$

MathProblem-Solving and Data Analysis

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches).<br/><br/>####

MathProblem-Solving and Data Analysis

Employees working for a customer service line at an electric company recorded all the calls last Monday and noted whether the caller asked for repairs and whether the caller asked about a bill. The results are summarized in the table below.<br/><br/>\begin{tabular}{|c|c|c|c|} \hline & Asked for repairs & Did not ask for repairs & Total \\ \hline Asked about a bill & 48 & 623 & 671 \\ \hline Did not ask about a bill & 130 & 90 & 220 \\ \hline Total & 178 & 713 & 891 \\ \hline \end{tabular}<br/><br/>If a caller last Monday who asked about his or her bill is selected at random, which of the following is closest to the probability that the customer also asked for repairs?

MathProblem-Solving and Data Analysis

The value of a collectible comic book increased by 167% from the end of 2011 to the end of 2012 and then decreased by 16% from the end of 2012 to the end of 2013. What was the net percentage increase in the value of the collectible comic book from the end of 2011 to the end of 2013?

MathProblem-Solving and Data Analysis

The ratio $x$ to $y$ is equivalent to the ratio $12$ to $t$. When $x=156$, what is the value of $y$ in terms of $t$?

MathProblem-Solving and Data Analysis

For a certain rectangular region, the ratio of its length to its width is **35** to **10**. If the width of the rectangular region increases by **7** units, how must the length change to maintain this ratio?

MathProblem-Solving and Data Analysis

How many teaspoons are equivalent to 44 tablespoons? (3 teaspoons = 1 tablespoon)

MathProblem-Solving and Data Analysis

A certain park has an area of 11,863,808 square yards. What is the area, in square miles, of this park? (1 mile = 1,760 yards)

MathProblem-Solving and Data Analysis

Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?

MathProblem-Solving and Data Analysis

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?

MathProblem-Solving and Data Analysis

37% of the items in a box are green. Of those, 37% are also rectangular. Of the green rectangular items, 42% are also metal. Which of the following is closest to the percentage of the items in the box that are not rectangular green metal items?

MathProblem-Solving and Data Analysis

$\begin{tabular}{|c|c|c|} \hline & Human Resources & Accounting \\ \hline Bachelor's degree & 4 & 3 \\ \hline Master's degree & 2 & 6 \\ \hline \end{tabular}$ The table above shows the number of people who work in the Human Resources and Accounting departments of a company and the highest level of education they have completed. A person from one of these departments is to be chosen at random. If the person chosen works in the Human Resources department, what is the probability that the highest level of education the person completed is a master's degree?<br/><br/>$\begin{tabular}{c c}

MathProblem-Solving and Data Analysis

## Abstract<br/><br/>In this thesis we present a new method for calculating the \

MathProblem-Solving and Data Analysis

Rita's total bill at a restaurant was $25.00, including tax. If she left a tip of 20% of the total bill, what was the amount of the tip?

MathProblem-Solving and Data Analysis

$\begin{tabular}{|l|c|c|} \hline & Amount invested & Balance increase \\ \hline Account A & \$500 & 6\% annual interest \\ \hline Account B & \$1,000 & \$25 per year \\ \hline \end{tabular}$<br/><br/>Two investments were made as shown in the table above. The interest in<br/><br/>Account A is compounded once per year. Which of the following is true about<br/><br/>the investments?

MathProblem-Solving and Data Analysis

If $t=4u$, which of the following is equivalent to 2t?

MathProblem-Solving and Data Analysis

There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting a white button?

MathProblem-Solving and Data Analysis

For $x>0$, the function $f$ is defined as follows:<br/><br/>$f(x)$ equals $201\%$ of $x$<br/><br/>Which of the following could describe this function?

MathProblem-Solving and Data Analysis

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?<br/><br/>1. The mean number from Foothill High School is greater than the mean number from Valley High School.<br/><br/>2. The median number from Foothill High School is greater than the median number from Valley High School.

MathProblem-Solving and Data Analysis

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 $\mathbf{\dfrac{1}{3}}$ of the total female penguin population in the exhibit?

MathProblem-Solving and Data Analysis

## Appendix A

MathProblem-Solving and Data Analysis

$\begin{tabular}{|c|c|c|c|c|c|} \hline Day & 1 & 2 & 3 & 4 & 5 \\ \hline High temperature (${}^{\circ}$F) & 81 & 80 & 81 & 81 & 82 \\ \hline \end{tabular}$<br/><br/>Over this 5-day period, which of the following is NOT equal to 81${}^{\circ}$F?

MathProblem-Solving and Data Analysis

## Abstract<br/><br/>In this thesis we present a new method for constructing the $\alpha$

MathProblem-Solving and Data Analysis