Algebra 2: Sample Items - PDF Free Download

ETO High School Mathematics 2014 2015 Algebra 2: Sample Items Candy Cup

Candy Cup Directions: Each group of 3 or 4 students will receive a whiteboard, marker, paper towel for an eraser, and plastic cup. Students will have 2 to 4 minutes to work as a group to complete a problem and place the final agreed upon answer on the whiteboard. (Each individual must have the work shown on their own paper.) Each team with the correct answer will receive an integer chip in their cup. Any member of the group can be asked to explain their answer so work together! At the end of the game, groups will cash in their integer chips for a reward to divide evenly among the team.

#1 Calculator - NO

#1 Calculator - NO a + b a - b

#2 Calculator - NO

#2 Calculator - NO -3-8 x+1

#3 4.5x - 3 x = 1053

#5 Calculator - NO There are two highlights in the paragraph to show which word or phrase may be incorrect. For each highlight, click the word or phrase that is correct. Ethan was solving 2.71x 3 + 8.64 = 3.12. Ethan s first step resulted in 2.71x 3 = 5.52 because he applied the. Addition property of equality Multiplication property of equality Additive Identity Multiplicative Inverse Ethan should then Take the cube root of each side Use the multiplication property of equality Use the addition property of equality Factor the left side

#6 1.6

#7 Mike creates a design for a square kitchen floor. Each tile measures 1sq. Ft. An example of the design is shown. Mike found that the expression 4n + 2n 2 2n would give you the total number of edges for a design of any size, where n is the length, in feet, of one side of the design. Select an expression and an explanation to match the meaning of the value of the expression.

8. 3 3 9i 14

#9 y = 1 11 x 2 2 + 1 or 1 11 x2 1 3 x + 4 3 oo 1 11 (x2 44 + 11)

#10 Oil leaks out of a tanker and expands in a circular pattern. The area, in square miles, of a circular oil slick can be approximated by A r = 0.52πr 3, where the radius, r, is measured in miles. As the oil slick is growing, the radius can be modeled by r t = 4.03t 0.5, where r is the radius of the oil slick and t is the time, in days. The function S t = 6.73t 0.5 + 0.23t 2 models the amount of oil, S, in square miles, that an oil skimmer has removed after t days. Write a function F(t) that will report the area of the oil slick, in square miles, as a function of time.

#11

#11 -½ or -0.5-5 0-4 ½ or 0.5-7 3/2 or 1.5-3

#12

#12 [ 1 + ) +

#13 A coffee machine makes one cup of coffee at a time. The amount of coffee the machine makes can be selected before the coffee is made. Jerry selects the coffee machine s 14.5-ounce option for his 16-ounce cup. The amount of coffee, in ounces, in his cup at a time x is given by the function C x = 0.4x 2 + 5.06x, where x is in minutes. What is the largest domain for which C(x) models the amount of coffee in a cup?

#14

#14 zero

#15 The number of Salmonella bacteria, y, in a sample after M minutes can be found using the equation shown. y = 1,200 2 20 60 M To the nearest tenth of a minute, how many minutes will it take for the sample to have 100,000 bacteria?

#16

#17 A wheel of Matthew s bicycle has a radius of 1 foot. He uses chalk to create a marking on the outer edge of the wheel. Matthew rides his bicycle at a constant speed so that the wheel rotates 3 times every second. Which function, h(t), represents the height, in feet, of the marking from the ground with respect to time, t, in seconds?

#18 Calculator - NO

#19

#19 12-13

#20 Calculator - NO The table shows information about 10 students in Mrs. McKeon s calculus class. Mrs. McKeon randomly picks two students to present a homework problem. She defines two events as shown. Event E: A male and a female are selected Event F: Both of the students are in the math club. Select all the sets of students that are in the complement of the union of events E and F. Lisette and Thomas Keisha and Kumiko Radha and Thomas Carlos and Michael Kumiko and Lisette Paolo and Xavier

#21 In 2010, the population of Tallahassee was 186,411. Of that number, 17.2% were under the age of 18 and 52.9% were female. Complete the table to show a possible breakdown of the Tallahassee population.

#22 Marcy plays a game with a spinner and a 6-sided number cube. The spinner is divided into 4 equal sections numbered 1 to 4. Marcy spins the spinner and rolls the number cube. She records both numbers. What is the probability that at least one of the numbers is a 4?

#23 -Open Response Calculator - NO Clarissa s school has a total of 420 students. She surveys a random sample of 42 students and asks whether they use social media. The results of her survey are shown. Based on her survey results, Clarissa makes the following claim: Exactly 110 students in my school do not use social media. What is the flaw in Clarissa s claim? Type your answer in the space provided The sample of the population can only approximate the results unto the general population. Therefore the results of the sample study cannot be used to determine an exact amount.

#24 Jared is opening several ice cream stores. The walls of the stores can be yellow or blue. He designs an experimental study to determine if the color of the walls affects how much ice cream people eat. Jared finds 164 volunteers. He randomly assigns half of them to a room with yellow walls and lets them eat as much chocolate ice cream as they want for one hour. Jared records the total amount of ice cream eaten in each room. What is one flaw in Jared's study? A. There are too many volunteers. B. The room assignments were random. C. The groups had different flavors of ice cream. D. The groups did not have different numbers of volunteers.

#25 The mean population of the counties in Florida is 289,294 and the standard deviation is 461,176. It can be assumed that the population is approximately normally distributed. What percentage of the population of all countries is within one standard deviation of the mean?