1. The following two-way frequency table shows information from a survey that asked the gender and the language class taken of a group of students.

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Name Algebra Unit 13 Practice Test 1. The following two-way frequency table shows information from a survey that asked the gender and the language class taken of a group of students.

1 Name Algebra Unit 13 Practice Test 1. The following two-way frequency table shows information from a survey that asked the gender and the language class taken of a group of students. Spanish French other totals Males Females Totals a) Complete the table above. b) Based on your relative frequency table, what is the relative frequency of students who speak Spanish? c) Based on your table, what is the relative frequency of males who speak French to the nearest percent? d) If a student were randomly selected from the students at the school, do you think the student selected would be a male or a female? Why? e) What is the row conditional relative frequency of females who don t speak French or Spanish to the nearest percent? 2. Jason s part-time job pays him $155 a week. If he has already saved $375, what is the minimum number of full weeks he needs to work in order to have enough money to buy a dirt bike for $900?

2 3. Determine one of the solutions to the following system of equations graphically. y = 2( 3 1 ) x 1 2y 4x = 6 4. The box-and-whisker plot below represents a set of grades in a college statistics class. Determine the following: Minimum= Q1= MED= Q3= Maximum= What grade has 25% of the class above it? What interval of grades contains the interquartile range? What is the value of the interquartile range? What percent of the scores fall in the interquartile range?

3 5. Simplify each expression and write without negative exponents: a. (7d 2 e -4 f 5 )(-12de -3 ) b. 16xy 5 (4x 3 y 7 5x 4 y) 6. Twenty students test scores are shown below. 89, 84, 72, 64, 35, 90, 78, 82, 94, 54, 77, 83, 82, 93, 100, 68, 75, 88, 92, 40 Calculate the following, rounding to the nearest hundredth if necessary. a. mean = b. range = c. standard deviation = d. Create a box plot (box and whisker) of the above data. 7. The data below are Becky s scores from her last 15 rounds of golf. 77, 79, 85, 81, 82, 84, 84, 83, 84, 79, 82, 84, 85, 85, 85 a) Construct a dot plot for the data. b) Determine the mean. c) Determine the median. d) Describe the distribution of data. Which would be a better description of Becky s typical golf score, the mean or the median? Why??

4 8. Solve for the roots in simplest radical form: 46 = 2x 2 20x 9. A study compared the speed, x (in miles per hour), and the average fuel efficiency, y (in miles per gallon), for cars. The results are shown in the table. Speed (x) Fuel Efficiency (y) a) Write a quadratic regression equation that best models the data, rounding all coefficients to the nearest thousandth. b) Predict the fuel efficiency, to the nearest tenth, of a car traveling at a speed of 80 miles per hour.

5 10. Which situation describes a causal relationship? (1) The rooster crows, and the sun rises. (2) The bell rings, and then everyone arrives to class. (3) The more powerful the microwave, the faster the food cooks. (4) The older the driver, the slower they drive their car. 11. Which phrase best describes the relationship between the number of miles driven and the amount of gas used? (1) causal, but not correlated (2) correlated, but not causal (3) both correlated and causal (4) neither correlated nor causal 12. Which graph below represents and exponential graph? 13. Which equation is a line parallel to the x-axis? (1) y = 2x 1 (2) x = 5 (3) y = 2 (4) y = x 14. Write the equations of 2 lines, one that is parallel and one that is perpendicular to the line below. 4x 3y = 9

6 15. Solve the following system of equations algebraically: y + 13 = x y + 3 = x 2 6x 16. Construct a cumulative frequency histogram showing 8 intervals for these test grades: Test Scores (Intervals) Tally Freq. Cumul. Freq. 100, 93, 71, 74, 85, 62, 68, 70, 100, 99, 85, 77, 48, 51, 25, 86, 67, 88, 70, 26

7 17. The table below is the shoe length and heights of 6 women. Fill in the rest of the table rounding all data to the nearest hundredth. Shoe Length (in) Height (in) Predicted Height Residual a. Write the equation of the least-squares line, rounding all coefficients to the nearest hundredth b. State the correlation coefficient to the nearest hundredth, and describe the strength of the least-squares line. c. Predict the height of a woman with a shoe size 7.5 inches to the nearest hundredth. d. Predict the shoe size of a woman with a height of 65 inches to the nearest hundredth. 18. Describe the strength of the correlation coefficient, and estimate the correlation coefficient for each of the following scatter plots. R = R = R = Why? Why? Why?

1 Which expression represents 5 less than twice x? 1) 2) 3) 4)

1 Which expression represents 5 less than twice x? 2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella