Los Angeles Unified School District. Student Test Booklet

Transcription

1 Office of Curriculum, Instruction, and School Support INTERIM ASSESSMENT Common Core Algebra 1 Spring Semester Student Test Booklet

2 Directions: Answer all multiple choice and selected response questions on the test booklet. When you are finished with a page, go on to the next page. Answer all constructed response items in the test booklet, using the answer spaces given within each item. 1. Which graph could represent the solution set of y =? 3. The first four terms of a sequence are shown below. 8, 12, 18, 27,... Write a recursive function for this sequence. 4. The coordinate grid below shows points A through J. 2. The graph of an exponential funtion f(x) passses through (0, 1) and (2,4), as shown. Given the system of inequalities shown below, select all the points that are solutions to this system of inequalities. {x+y<3 {2x-y>6 What is the value of f(6)? 2

3 5. Graph this system of inequalities below on the given coordinate grid. 7. A company purchases $24,500 of new computer equipment. For tax purposes, the company estimates that the equipment decreases in value by the same amount each year. After 3 years, the estimated value is $9800. Write an explicit function that gives the estimated value of the computer equipment n years after purchase. 8. The graphs of y=g(x) and y=f(x) are shown. Add a point that will satisfy each given condition. A point on the graph of g where, label it A A point on the graph of g where, label it B A point on the graph of f where, label it C 6. For the parts a d, determine whether each relation is a function. a. b. c. d. 3

4 9. The frequency distributions of two data sets are shown in the dot plots below. 11. The dot plots below compare the number of minutes 30 flights made by two airlines arrived before or after their scheduled arrival times. For each of the following statistics, determine whether the value of the statistic is greater for Data Set 1, equal for both data sets, or greater for Data Set 2. Negative numbers represent the minutes the flight arrived before its scheduled time. Positive numbers represent the minutes the flight arrived after its scheduled time. Zero indicates the flight arrived at its scheduled time. Based on these data, from which airline will you choose to buy your ticket? Use the ideas of center and spread to justify your choice. 10. Write the function in the equivalent form most appropriate for identifying the slope and y-intercept of the function. 4

5 12. The graph of is shown on the grid. Plot the graph to show 13. A restaurant serves a vegetarian and a chicken lunch special each day. Each vegetarian special is the same price. Each chicken special is the same price. However, the price of the vegetarian special is different from the price of the chicken special. On Thursday, the restaurant collected $467 selling 21 vegetarian specials and 40 chicken specials. On Friday, the restaurant collected $484 selling 28 vegetarian specials and 36 chicken specials. What is the cost of each lunch special? Vegetarian: Chicken: 14. Multiply and combine like terms to determine the product of these polynomials. 5

6 15. Medhavi suspects that there is a relationship between the number of text messages high school students send and their academic achievement. To explore this, she asks a random sample of 52 students at her school how many text messages they sent yesterday and what their grade point average (GPA) was during the most recent marking period. Her data are summarized in the scatter plot below. The least squares regression line is also shown. The equation of the least squares regression line is = (Texts sent). Interpret the quantities and 3.8 in the context of these data. 6

7 16. Many counties in the United States are governed by a county council. At public county council meetings, county residents are usually allowed to bring up issues of concern. At a recent public county council meeting, one resident expressed concern that 3 new coffee shops from a popular coffee shop chain were planning to open in the county, and the resident believed that this would create an increase in property crimes in the county. To support this claim, the resident presented the following data and scatterplot (with the least-squares line shown) for 8 counties in the state: County Shops Crimes A B C D E F G H The scatterplot shows a positive linear relationship between "Shops" (the number of coffee shops of this coffee shop chain in the county) and "Crimes" (the number of annual property crimes for the county). In other words, counties with more of these coffee shops tend to have more property crimes annually. 7

8 a. Does the relationship between Shops and Crimes appear to be linear? Would you consider the relationship between Shops and Crimes to be strong, moderate, or weak? b. Compute the correlation coefficient. Does the value of the correlation coefficient support your choice in part (a)? Explain. c. The equation of the least-squares line for these data is: (Shops) Based on this line, what is the estimated number of additional annual property crimes for a given county that has 3 more coffee shops than another county? 8