Algebra I STAAR Practice Test A

Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges $5 for a service call and $15 per hour for repairs. She uses the graph below to help determine her costs for repairs that take varing amounts of time. 80 60 In the equation 5 1 1 5, what is the value for when equals 3? 0 0 Record our answer and fill in the bubbles on our answer document. O 6 8 Time (hours) Copright Pearson Education, Inc., or its affiliates. All rights reserved. 3 Which function best describes the data in the chart below? A 5 B 5 1 1 C 5 D 5 1 1 3 5 7 8 1 16 Sam mows lawns in the summer. His net profit for the summer, p, is represented b the equation p 5 15m 50, where m is the number of lawns he mows. Which is the best interpretation of this information? F Sam made a profit of $35. G Sam made a profit of $50. H Sam earns $50 per lawn mowed. J It cost Sam $50 to get his lawn mowing business started. After one ear, she decides to increase her initial service fee to $30. She needs to update her graph. Which statement about her graph will be true? A The slope will be steeper. B The slope will be less steep. C The -intercept will move awa from the origin. D The -intercept will move toward the origin. 6 A dance studio charges $35 per month plus an annual $10 registration fee. Which equation represents the total cost, c, of the class for m months? F c 5 35m 10 G c 5 35m 1 10 H m 5 35c 10 J m 5 35c 1 10 STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 119

7 The quadratic function below models the profit a compan makes based on the quantit of items it sells to customers. Profit (hundreds) 0 30 0 10 O 6 8 Number of Items Sold What is the greatest profit the compan can make based on the sale these items? A $3.50 C $3 B $8 D $0 10 Solve the equation e 5 1 e 5 e 1 3 e for e. F 7 H 8 7 G 7 8 J 5 11 Which of the following graphs would best represent the relationship between the diameter and the area of a circle? A Area Area vs. Diameter of a Circle Diameter 8 Tickets to a school soccer game are $3 for adults and $ for students. The equation 3 1 5 050 models the number of students at the game when $,050 was taken in from ticket sales. What does the slope of 3 mean in this situation? F The ratio of the number of adults at the game to the number of students at the game. G The ratio of the number of students at the game to the number of adults at the game. H The ratio of the cost of one adult ticket to the cost of one student ticket. J The ratio of the cost of one student ticket to the cost of one adult ticket. 9 The number of fish in a lake was 650 in Januar. In March, there were 570 fish. If the number of fish continues to decrease at this rate, what is a reasonable estimate for the number of fish remaining in September? A 90 C 330 B 0 D 90 B C D Area Area Area Area vs. Diameter of a Circle Diameter Area vs. Diameter of a Circle Diameter Area vs. Diameter of a Circle Diameter Copright Pearson Education, Inc., or its affiliates. All rights reserved. 10 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

1 How will the graph of 5 5 be affected if the coefficient of becomes 5? F The graph will become wider. G The graph will become narrower. H The graph will be reflected across the -ais. J The graph will be reflected across the -ais. 13 At Colson s Discount Bookstore, paperbacks cost $.50 each and hardbacks cost $8.00 each. Which equation best describes the number of paperbacks, p, and hardbacks, h, that can be purchased for $65.00? A 8p 1.5h 5 65 B.5p 1 8h 5 65 C 1.5(p 1 h) 5 65 D 65(p 1 h) 5 1.5 15 A function is represented in the mapping diagram below. 1 3 5 3 7 9 Which of the following is NOT another correct representation of this function? A The range is {3, 5, 7, 9} and 5 1 1. B The domain is {1,, 3, } and the range is {3, 5, 7, 9}. C is a positive integer less than 5 and 5 1 1. D {(1, 3), (, 5), (3, 7), (, 9)} 16 Which describes the range of the function with the graph shown below? Copright Pearson Education, Inc., or its affiliates. All rights reserved. 1 The function f () 5 60 1 10 represents a test score, f (), of a student studing hours for a test. The student studies for no more than 3 hours. What is the range of the function? F 0 # # 3 G 0 # # 60 H 0 # f () # 3 J 60 # f () # 90 F $ 0 G $ 5 H $ 6 J $ 6 6 O STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 11

17 Which equation best describes the graph below? A 5 3 B 5 1 3 C 5 3 D 5 1 3 O 18 What is the -intercept of the function f() 5 ( 5)? 0 For a fundraiser, the Math Club sold a ticket for each square ard of a football field. The randoml selected one square ard from the field to find out the winner of a $5000 prize. If the function p() 5 5 5000 gives the profit from the sale, which statement best interprets the slope of this function? F The Math Club sold 5 tickets. G The Math Club sold 5000 tickets. H The Math Club sold tickets for $5 each. J The Math Club sold tickets for $5000 each. 1 A relation is given b the ordered pairs {(, 9), (, 0), (0, 3), (, ), (, 1)}. What is the domain of the relation? A {,,, 0,,, } B {,, 0,, } C all even integers and their opposites D all real numbers Record our answer and fill in the bubbles on our answer document. 19 Solve the equation 1 3 5 5 3 1 5 for. A 5 B 5 C D 3 Copright Pearson Education, Inc., or its affiliates. All rights reserved. 1 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

John plants trees for a living. He has weekl epenses of $5 plus an additional $35 for each tree. If he charges $10 for each tree he plants, how man trees does he have to plant each week before he can make a profit? Record our answer and fill in the bubbles on our answer document. 3 The following scatter plot shows the relationship between the forearm length and shoe size of a group of mathematics students. Forearm Length vs. Shoe Size The function f () 5 9.75 represents the total cost, f (), for tickets to a movie. Which statement is true if the function changes to f () 5 10.5? F The total cost increased from $9.75 to $10.5. G The total cost decreased from $10.5 to $9.75. H The cost for each movie ticket increased from $9.75 to $10.5. J The cost for each movie ticket decreased from $10.5 to $9.75. Shoe Size (Men's US) 11 10 9 8 7 6 5 8 9 10 11 1 Forearm Length (inches) 5 The line represented b the equation 5 1 is graphed below. O Copright Pearson Education, Inc., or its affiliates. All rights reserved. Based on these results, if Jim has a forearm length of 11 inches, which is the best estimate of his shoe size? A 1 C 6 B 8 D Which of the following best describes the change in the graph if the line becomes 5 1 1? A The -intercept increases. B The -intercept increases. C The -intercept decreases. D The -intercept decreases. STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 13

6 A model rocket was fired upward at an initial speed of 60 meters per second. The function h 5 60t.9t shows the relationship between the time elapsed and the rocket s height above the ground, where t is the time in seconds and h is the height in meters. The graph of this function is shown below. 7 A movie theater sold a total of 05 tickets to a movie, for a total of $161. Adult tickets were $9 and student tickets were $5. What was the number of student tickets sold? Record our answer and fill in the bubbles on our answer document. Height (meters) 300 50 00 150 100 50 0 6 8 10 1 Time (seconds) What is the best conclusion about the rocket s movement? F The speed of the rocket was greatest at about 6 seconds after it was fired. G The rocket traveled 180 meters. H The rocket reached its maimum height in about 6 seconds. J The rocket returned to the ground in about 6 seconds. 8 Which best describes the correlation shown in the scatterplot below? Liquid in Container (Gallons) 3 16 8 O F absolute correlation G negative correlation H positive correlation J no correlation 6 8 Time (Das) Copright Pearson Education, Inc., or its affiliates. All rights reserved. 1 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

9 Which equation best represents the area, A, of the triangle below? 1 31 What are the -intercepts of the graph of the equation 5 1 3 10? A 5, 5 5 B 5, 5 5 C 5, 5 5 D 5, 5 5 A A 5 ( 1 ) 1 B A 5 ( 1 ) C A 5 1 ( 1 ) D A 5 ( 1 ) 3 Which best describes the effect of shifting the -intercept of this graph up 3 units, but keeping the -intercept the same? Copright Pearson Education, Inc., or its affiliates. All rights reserved. 30 A function is described b the equation f() 5 1 3. The replacement set for the independent variable is {,, 6, 8}. Which set is the corresponding set for the dependent variable? F {, 8, 1, 16} G {,, 6, 8} H {1, 5, 9, 13} J {7, 11, 15, 19} O F The slope increases. G The slope decreases. H The slope does not change. J The slope changes sign. STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 15

33 The table below shows the relationship between the number of buses in the school parking lot and the number of students on those buses. Number of Number of Buses, Students, 1 5 50 3 75 100 What does the slope of the line containing these points represent? A the number of students on an empt bus B the number of students each bus can hold C the number of buses used b the school D the number of students at the school 36 The quadratic epression 1 1 is modeled below using algebraic tiles. What are the solutions to the equation 1 1 5 0? F 5 3 and 5 G 5 3 and 5 H 5 3 and 5 J 5 3 and 5 3 What are the roots of the quadratic equation 1 6 0 5 0? F and 5 H and 5 G and 5 J and 5 35 Which tpe of function is graphed below? A quadratic B eponential C linear D logarithmic O 37 The distance Doug travels is directl related to the amount of time he travels. Doug travels 168 miles at a constant rate for 3 hours. How man hours will it take Doug to travel 39 miles at the same rate? Record our answer and fill in the bubbles on our answer document. Copright Pearson Education, Inc., or its affiliates. All rights reserved. 16 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

38 What is the equation of the line that passes through the points (0, 3) and (, 0)? F 5 3 1 3 G 5 3 1 H 5 3 1 3 J 5 3 1 39 Jamie and Cnthia sold a total of 8 raffle tickets. Jamie sold 3 fewer than twice the number Cnthia sold. Which sstem of equations could be used to determine the number of raffle tickets sold b Jamie, j, and Cnthia, c? 1 Which equation best describes the relationship between hours of studing, h, and the grade on the test, g, in this table? Hours of Studing A g 5 6h 1 37 B h 5 6g 1 37 C g 5 1h 1 7 D h 5 1g 1 7 Grade on Test (%) 0 7 0.5 80 1.0 86 1.5 9.0 98 Copright Pearson Education, Inc., or its affiliates. All rights reserved. A j 1 c 5 8 j 1 c 5 3 B j 1 c 5 8 j c 5 3 C j 1 c 5 8 j 1 3c 5 D j 1 c 5 8 j c 5 3 0 If the domain of the function 5 1 is 0,, 5, what is the corresponding range? F 0,, 5 G,, 10 H 0,, 5 J,, 5 Simplif the algebraic epression ( 1 3)( 3) 1 3( 1 1 1). F 1 6 1 1 G 5 1 1 1 9 H 1 6 1 9 J 1 6 1 15 3 What is the solution to the sstem of equations shown below? A (1, 7) B (, 5) C (3, ) D (0, 1) 3 5 7 1 5 1 STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 17

Which situation best describes the graph? 6 The graph below best represents which of the following situations? Distance Time F An airplane took off from the airport, then turned right, then turned left. G A car traveled at a constant rate, then stopped at a traffic light, then traveled at a constant rate. H Jake jogged at a constant rate, then stopped to take a break. J Ldia ascended up a mountain, then descended down the mountain. Altitude (miles) 1.0 0.75 0.5 0.5 1 3 5 Time (hours) F An ant crawls into his anthill. G A person rides a roller coaster. H A famil drives through a mountainous area. J A racer runs a one-mile race around the track. 5 What is the first step in solving the inequalit 3 1 1, 11? A Add 11 to both sides of the inequalit. B Divide both sides of the inequalit b 3. C Subtract 1 from both sides of the inequalit. D Divide both sides of the inequalit b 3 and reverse the inequalit sign. 7 At a sporting goods store, the total cost of a baseball and a basketball is $1.50. The cost of three baseballs and two basketballs is $9.00. Which pair of equations can be used to determine the price of a baseball, b, and the price of a basketball, k? A b 1 k 5 1.50 5(b 1 k) 5 9.00 B 3b 1 k 5 1.50 b 1 k 5 9.00 C b 1 k 5 1.50 3b 1 3k 5 9.00 D b 1 k 5 1.50 3b 1 k 5 9.00 Copright Pearson Education, Inc., or its affiliates. All rights reserved. 18 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice

8 Jane purchased cans of paint at $ each and packs of markers at $ each. She spent less than $0, not including ta. Use the grid below to graph the inequalit 1, 0. 8 8 O 8 Which point represents a reasonable number of cans of paint and packs of markers that Jane purchased? 8 F (5, 3) H (3, 5) G (, 3) J (1, 5) 50 A function is represented in the mapping diagram below. 1 3 f() 1 9 16 Which of the following is NOT another correct representation of this function? F The domain is {1,, 3, } and f() 5. G The domain is {1,, 3, } and f() 5. H is a negative integer greater than 5 and f() 5. J {(1, 1), (, ), (3, 9), (, 16)} Copright Pearson Education, Inc., or its affiliates. All rights reserved. 9 The equation 5 35 1 5 represents the cost,, Jerem pas a plumber for hours of service. What function represents the cost, f() for hours of service? A 5 35 1 5f() B 5 5 1 35f() C f() 5 5 1 35 D f() 5 35 1 5 51 The quadratic function below models the path of a soccer ball as it is kicked up in the air. Height (Feet) 0 30 0 10 O 1 3 Time (seconds) About how long does it take the ball to hit the ground? A 1.5 seconds B 3 seconds C 5 seconds D 0 seconds STAAR Algebra I EOC Assessment Practice Algebra I STAAR Practice Test A 19

5 What is m, the slope of the line that is shown in the graph below? 5 Which equation best represents the line on the graph? 8 6 O F 5 3 G 5 3 O 6 8 F 1 5 G 5 H 5 1 J 1 5 H 3 5 J 3 5 53 The table shows the number of inches of accumulated snowfall, f(), after hours. Hours, Accumulated Snowfall (in inches), f() 1 1.75 3.5 5.5 7 9.5 Can this situation be represented b a linear function? If so, what is the function? A no B es; f() 5 1.75 C es; f() 5 1.5 1 0.5 D es; f() 5 1.75 1 0.5 Copright Pearson Education, Inc., or its affiliates. All rights reserved. STOP 130 Algebra I STAAR Practice Test A STAAR Algebra I EOC Assessment Practice