STAAR Practice Test #1. 2 (2B) What is the equation in standard form of the line that

Transcription

1 STAAR Practice Test #1 TEKS 2 (Linear Equations) 1. (2B) The population of Webb County, Texas, from the year 2000 through 2010 is shown in the graph. If the trend shown in the graph continues, what will be the population of Webb County in 2015? Name: Block: Date: 2 (2B) What is the equation in standard form of the line that passes through the point (4, 8) and has a slope of 1 4? A 307,000 B 278,500 C 471,500 D 158, (2A) The graph of an equation in the form y = mx + b is shown on the grid. Based on the graph, what is the value of x when y = 7? 4. (2A) The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation? F {52, 105} G {3, 4, 5, 6} H {52, 72, 86, 105} J {3, 4, 5, 6, 52, 72, 86, 105} 6. (2A) A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing boxes at twice the rate before the break. The worker then spent 1 hour cleaning the work area. Which graph models this situation? 5. (2A) The scatterplot below shows the relationship between the number of baseballs used in 14 games and the number of pitches thrown in these games. Based on the scatterplot, what is the best prediction of the number of baseballs that will be used if 275 pitches are thrown? A 150 B 60 C 100 D 160

2 7. (2D) The value of y varies directly with x, if y = 48 when x=3, find x when y = (2D) Weight varies directly with a planet s gravity. A Mars rover plus lander weighs 767 pounds on Earth, but only 291 pounds on Mars. The Mars rover without the lander weighs 155 pounds on Mars. How much does the rover without the lander weigh on Earth? Round your answer to the nearest pound. A. 6 B. 5 C. 4 D. 8 A. 305 B. 401 C. 500 D ( 2A) The graphs show the cost of attending a county fair on Thursday and on Saturday and playing x games each day. Based on the graphs, which statement is true? A The cost of each game on Thursday is $0.50 less than the cost of each game on Saturday. B A person would spend $4 more to attend the fair and play 6 games on Saturday than on Thursday. C The cost of each game on Saturday is $2 less than the cost of each game on Thursday. D A person would spend $3 more to attend the fair and play 5 games on Thursday than on Saturday. 10. (2A) Which statement is true for the function whose graph is shown below? A. The domain is {x x = -2, -1, 0, 1, 2} B. The domain is {x x = -4, -2, 0, 2, 4} C. The range is all real numbers. D. The range is y < (2A) The mapping below represents all of the points on the graph of function f. What is the domain of f? F { 4, 1, 0, 2, 7} G { 5, 4, 1, 0, 1, 2, 4, 7} H { 5, 0, 1, 2, 4} J {5} 12. (2C) Which equation can be represented by the graph shown below? F. 3x+8y+16=0 G. 3x 8y+16=0 H. 3x 8y 16=0 13. (2A) The dishwasher at a restaurant is loaded with the same number of dishes every time it is used. The table below shows the total number of dishes washed as a function of the number of times the dishwasher is used. Based on the data in the table, what is the total number of dishes that will have been washed when the dishwasher is used 9 times? J. 3x+8y 16=0

3 14. (2A) A storm is headed through North Texas. The duration of the storm is measured in hours while the rainfall is measured in inches as seen in the table below. Does this situation represent a discrete or continuous function? Duration of the storm(hrs), x Amount of rain(inches), y (2G) Write an equation, in slope-intercept form, of the line that passes through the point (3, 2) and is perpendicular to the line y = 1 x (2A) Given the function: f(x) = {( 3, 1), (0, 5), (1, 7)}. What is f(1)? A) 3 B) 7 C) 1 D) (2D) Cameron earns $8 per hour at her after-school job. The total amount of her paycheck varies directly with the amount of time she works. Find the amount of her paycheck if she works 5 hours. 18. (2A) Which situation is represented by the graph below? 19. (2A) One type of redwood tree has an average height of 65 feet when it is 20 years old. If the tree is more than 20 years old, the average height, h, can be modeled by the function h=1.95(a 20)+65, where a is the age of the tree in years. Which statement about this situation is true? A Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree. F A man poured lemonade from a full pitcher at a constant rate. Then for several seconds, he stopped pouring from the pitcher. Then the man poured the rest of the lemonade from the pitcher at a faster rate than before. G A boy poured lemonade into an empty pitcher. Then for several seconds, he stopped pouring into the pitcher. Then the boy poured more lemonade into the pitcher at a slower rate than before. H A woman poured lemonade from a full pitcher at a constant rate. Then for several seconds, she stopped pouring from the pitcher. Then the woman poured the rest of the lemonade from the pitcher at a slower rate than before. B For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime. C Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree. D For this type of redwood tree, the average height increases by 65 ft for every 20 years of growth. 20. (2D) The mass of a substance varies directly with the volume of the substance. The volume of 100 kilograms of the substance is 80 liters. What is the volume, in liters, of 3.2 kilograms of this substance? J A girl poured lemonade into an empty pitcher. Then for several seconds, she stopped pouring into the pitcher. Then the girl poured more lemonade into the pitcher at a faster rate than before.

4 21. (2E) Is the line passing through (6, -3) and (0, 0) 22. parallel to y = 1 x 5? Show work and explain. 2 6 (2E) What is the equation in standard form of the line that passes through the point (6, 9) and is parallel to the line y = 1 2 x ? 23. (2G) What is the slope of the line below: 24. (2F) Write an equation, in slope-intercept form, of the line that passes through the point (-2, 9) and is perpendicular to the line y = 1 4 x (2F) Write an equation, in slope-intercept form, of the line that passes through the point (0,0) and is perpendicular to the line y = 3 x (2A) What is the range of the function graphed on the grid? 27. (2G) Which of the following has a zero slope? A B C D 28. (2H) Some students at a music recital perform 3- minute pieces and some perform 5-minute pieces. The total time of this part of the recital needs to be at least 30 minutes long. Write an inequality to represent this situation. 29. (2H) Complete the linear inequality that represents the relationship shown in the table: y 3x 1 2 A. > B. < C. D.

5 Answer Key for Test #1 1 B 2 A 3 X = -5 4 H 5 C 6 F 7 B 8 D 9 B 10 B 11 F 12 G CONTINUOUS 15 B 16 Y = -4x $40 18 F 19 C 20 V = 4 21 No 22 x 2y = Undefined 24 4x y = 1 25 y = 1 x 3 26 G 27 B 28 3x + 5y B