Problem 7
How many solutions does the equation below have? $$ 3 x-4 y=73 $$ (A) None (B) Exactly 1 (C) Exactly 2 (D) Infinite
Problem 7
At what \(x\) -values does the function \(y=x(x-5)(x+2)\) intersect the \(x\)-axis? (A) \(-10\) (B) \(0,3,12\) (C) \(2,-5\) (D) \(0,5,-2\)
Problem 7
The data are collected from a survey of 500 randomly selected people in the United States. The researcher asked participants their ages and what type of social media they use the most frequently: video sharing, photo sharing, text sharing, or none. The goal of the researcher was to determine the general characteristics of social media use by different age groups throughout the United States. $$ \begin{array}{|l|l|l|l|l|l|} \hline \begin{array}{l} \text { Age } \\ \text { Group } \end{array} & \begin{array}{l} \text { Video } \\ \text { Sharing } \end{array} & \begin{array}{l} \text { Photo } \\ \text { Sharing } \end{array} & \begin{array}{l} \text { Text } \\ \text { Sharing } \end{array} & \begin{array}{l} \text { No Social } \\ \text { Media } \end{array} & \text { Total } \\ \hline 12-18 & 40 & 32 & 20 & 2 & 94 \\ \hline 19-30 & 31 & 51 & 43 & 6 & 131 \\ \hline 31-45 & 20 & 20 & 40 & 24 & 35 & 88 \\ \hline 46-60 & 9 & 8 & 36 & 29 & 49 & 83 \\ \hline \text { 61-up } & 2 & 3 & & & \\ \hline \end{array} $$ The survey summary states that the researcher collected the data "randomly." Which of these methods of finding survey participants would likely provide the most accurate results given the researcher's goal? (A) Ask for volunteer responses through television advertising and give a number for interested subjects to call in, ensuring a high level of motivation among survey participants (B) Have a survey booth at a local shopping mall where only every 5 th person is selected to share his or her individual thoughts about social media use, ensuring that each participant provides photo ID to verify his or her identity (C) Post a survey advertisement on a variety of websites that appeal to a great number of demographic groupings, including income, gender, and ethnicity (D) Call randomly selected phone numbers from across the country, both cellular and landlines, and ask for household members of a particular random age group to share their thoughts
Problem 8
If \(\frac{x}{4}=\frac{1}{2}\), then \(\frac{4(x-3)}{(-12)}\) equals which of the following? (A) \(\frac{1}{16}\) (B) \(\frac{1}{16}\) (C) \(\frac{7}{9}\) (D) \(\frac{1}{2}\)
Problem 8
At what point in the \(x y\) -plane will the functions \(y=4 x-3\) and \(y=-\frac{1}{2} x+\) 2 intersect? (A) \(\left(2,-\frac{2}{3}\right)\) (B) \(\left(-\frac{3}{4}, \frac{5}{6}\right)\) (C) \(\left(\frac{10}{9}, \frac{13}{9}\right)\) (D) \(\left(1, \frac{3}{7}\right)\)
Problem 8
What is the product of \(x y\) given the system of equations below? $$ \begin{array}{l} 4+y=32 x \\ y=2 x+2 \end{array} $$ (A) \(\frac{6}{25}\) (B) \(\frac{6}{25}\) (C) 12 (D) 15
Problem 9
If the line given by the equation \(y=4 x+7\) is reflected about the \(x\) -axis, what will be the graph of the resulting function?
Problem 9
The function \(f\) is given by \(f(x)=2-|x-4| .\) For what value of \(x\) does the function \(f\) achieve its maximum value? (A) 2 (B) 4 (C) 5 (D) 6
Problem 9
If the sale price on a coat is \(\$ 72\) and the original price of the coat was \(\$ 90\), what is the percent discount from this sale? (A) \(14 \%\) (B) \(20 \%\) (C) \(26 \%\) (D) \(80 \%\)
Problem 9
Maria currently has \(\$ 10,000\) in her retirement fund. She wants to see how much money she will have in her fund for several different years in the future, assuming that her portfolio has a steady annual growth rate of \(10 \% .\) What function \(f(n)\) would model the amount she should have in her portfolio in \(n\) years? (A) \(f(n)=10,000^{n}\) (B) \(f(n)=10,000 \times 0.1^{n}\) (C) \(f(n)=10,000 \times 1.1^{n}\) (D) \(f(n)=10,000 \times 1.11^{n}\)
