Texas Practice End-of-Course Assessment 3

Transcription

1 Texas Practice End-of-Course Assessment 3. Which is the simplified form of the expression? 5x(x 4) 7(x + 3) A 5x 6x B 5x 34x C 5x + 6x + D 5x 34x +. If f (x) = x 5, what is f (4)? 3 6 F 43 6 G H J Which function rule is graphed below? mm 4. Solve F = G for G. d F G G = d F m G = F d mm mm F = G d G = m F d H J 5. Factor 4x 6x + 6. A (4x 4)(x + 4) B (x 4)(x + 4) C (x + 4) D (x 4) 6. Which of the following gives a definition for the arithmetic sequence? 7,, 7,, 7,... F A() = 7; A(n) = 5 (7) n G A() = 5; A(n) = A() + (n ) + 7 H A() = 7; A(n) = A() + (n ) + 5 J A() = 7; A(n) = 5n Which of the following correlations represents a causal relationship? A y = x + 3 B y = x + 3 C y = x + 3 D y = x + 3 A the number of children in the household and the size of the playhouse B the size of the backyard and the size of the playhouse C the size of the playhouse and the cost per nail D the size of the playhouse and the number of nails needed to hold it together Pearson Texas Algebra I 5 Texas Practice EOC Assessment 3

2 8. A funny video has gone viral on the Internet. The function f (x) = x models the number of views of the video in x days. Which statement best describes the situation? F When the video was first posted, it attracted 00 viewers. The number of viewers practically doubled each day. G When the video was first posted, a couple of people viewed it. About 00 more people viewed it each day. H After two days, 00 people had viewed the video. J When the video was first posted, it attracted 75 viewers. The number of viewers multiplied by a factor of 00 each day.. Which graph shows the solution set of the inequality 3x + 5y < 0? A B 9. The area of a rectangle is 5x + 6x + 7. The length of the rectangle is 5x + x. What is the width of the rectangle? A C 3 x + x 7 B 3x + 7 D 3 x + 5 x + C 0. Which equation best represents the line of best fit for the scatter plot below? D F y = 45x + 35 G y = 80x H y = 35x + 45 J y = 35x + 45 Pearson Texas Algebra I 5 Texas Practice EOC Assessment 3

3 . The table shows the cost, y, for daycare for x days. What is the cost per day? Record your answer and fill in the bubbles on your answer document. 3. Which of the following is a solution to the equation 5x = 68? A 6.75 C 5 B 6 D Which of the following shows a relationship that is a function? A sports played by students in algebra class B pets owned by students in algebra class C heights of students in algebra class D vegetables liked by students in algebra class 6. Solve the equation 76 = 5( 3x ) + 6 for x. Record your answer and fill in the bubbles on your answer document. = Identify the asymptote of y A y = x 4. Which of the following shows the correlation coefficient and explains how closely the line of best fit models the data in the table? Let x be run-up speed and y be jump distance. B C D y = 3 x = y = 3 8. Babies weight gain is a function of their age. They grow about six ounces per week for the first six months of life. What is a reasonable range of the function? F 0 < weight (ounces) < 36 G 0 < weight (ounces) < 44 H 0 < age (months) < 6 J 0 < age (weeks) < 4 9. What are the x-intercepts of the graph of the equation y = x 3x 8? F 0.97; The correlation is very strong. G 0.97; The correlation is fairly weak. H 0.95; The correlation is very weak. J 0.95; The correlation is fairly strong. A x = 4, x = 7 B x = 4, x = 7 C x = 4, x = 7 D x = 4, x = 7 Pearson Texas Algebra I 53 Texas Practice EOC Assessment 3

4 0. The function y = x is a 3 transformation of the parent function, f (x) = x. Which of the following correctly describes the transformation? F horizontal stretch by a factor of 3 G horizontal compression by a factor of 3 H vertical stretch by a factor of 3 J vertical compression by a factor of 3. Simplify (8x + 4) + (3x ). A 5x + B 5x C x D x +. What is the equation of the line in standard form that passes through the points ( 4, ) and (, 5)? F y = 6 x G 7x 6y = -6 H 6x + 7y = J y = x Simplify F G H 7 6 J What is the product of (x + 8)(3x + 7)? A 6x 0x 56 B 6x + 38x + 56 C 6x + 0x 56 D 6x What are the solutions to the system? 6x y = 4 9x + 3y = 7 F x =, y = 3 G x = 3, y = 0 H All real numbers. J There are no solutions. 7. Solve the inequality 3(3x + 7) > 4 8(4 + 5x). A x < 34 B x > 34 C x > D x < 6 3. What is the slope of the line 5x + 3y = 6? Record your answer and fill in the bubbles on your answer document. Pearson Texas Algebra I 54 Texas Practice EOC Assessment 3

5 8. What is the equation of the line that is perpendicular to y = x + 4 and passes through the point (, 3)? 7 F y = x G y = x H y = x 7 7 J y = x 9. If y varies directly as x and x = 3 when y = 5, find y when x = 33. A B 5 C 65 5 D A group of 4 people in a traveling stunt show performs at a local amusement park. There are three less than twice as many people who perform on skateboards as those who perform on bicycles. Let s represent the number of performers on skateboards and b represent the number of performers on bicycles. Which system of equations models this situation? F G b + s = 4 s = b 3 b + s = 4 s = 3 b H J b + s = 4 b = s 3 b + s = 4 b = 3 b 3. Which expression is equivalent to A 4 3 ( )? ( ) B C D 5 3. The value of a television t years after its purchase is modeled by the exponential function f (t) = t. Which best describes the domain and range of this exponential function? F Domain: t > Range: 04 P(t) > 0 G Domain: t 0 Range: 500 f (t) > 0 H Domain: t 0 Range: 500 > f (t) 0 J Domain: t > 0 Range: 500 > f (t) > What is the value of x in the solution to the system of equations below? 6x + 4y = 6 x 8y = 3 Record your answer and fill in the bubbles on your answer document. Pearson Texas Algebra I 55 Texas Practice EOC Assessment 3

6 34. What is the equation of the line that is parallel to the line shown below and that passes through the point (, )? 37. Which function has a zero at x =? A 3x + 4y = B 8x y = 4 C 3x y = 6 D x y = 38. Which quadratic function has a vertex at (, 3) and passes through the point ( 4, )? F G y = x + y = x H y = x J y = x 5 F y = x + 4x + 4 G y = x 4x + 7 H y = x + 6x + 7 J y = x + 4x An exponential function is shown below. 35. Solve the equation 97 = 7x 3(x ). A 0 C B 7 D Which is the best estimate of the solution to the system of equations shown in the graph below? Which equation best models the function? A y = 50() x B y = 50 x C y = 50() x D y = 50 x F (5.5, 0.8) G (.8, 5.) H ( 5.5,.8) J (55, 8.0) Pearson Texas Algebra I 56 Texas Practice EOC Assessment 3

7 40. What are the domain and range of the function y = x + 5? F Domain: x.5 Range: All real numbers G Domain: All real numbers Range: All real numbers H Domain: All real numbers Range: y 5 J Domain: All real numbers Range: y 5 4. A sheet of 8 0 pictures sells for $7.5 and a sheet of 5 7 pictures sells for $8.75. Which equation best describes the number of 8 0 sheets, t, and the number of 5 7 sheets, s, that can be purchased for $50? A 8.75t + 7.5s = 50 B 8.75s + 7.5t = 50 C 6(s + t) = 50 D 50(s + t) = Linda is saving her allowance to buy a cell phone. She has $4 in her bank account and she earns $5 per week. Let p be the cost of the phone and w be the number of weeks Linda must save in order to have enough money to purchase a phone. Which inequality models this situation? A p 5w + 4 B p 5w 4 C p 5w 4 D p 5w The quadratic function below models the path of a hot air balloon. Which coordinates show where the balloon will begin its descent? 4. The graph of a quadratic equation passes through (4, 0) and (7, 0). Which quadratic function has these intercepts? F y = x x + 8 G y = x + 3x + 8 H y = x x 8 J y = x 3x + 8 F (.4, 0) G (0, 4.67) H (, 6) J (6.4, 0) Pearson Texas Algebra I 57 Texas Practice EOC Assessment 3

8 45. Which graph represents the solution set to the system of inequalities? y 5 x+ y x 46. The graph of a quadratic equation is shown below. A What is the maximum value? B F y = 8 G y = 4.5 H x = 8 J x = 4.5 C D Pearson Texas Algebra I 58 Texas Practice EOC Assessment 3

9 47. The table shows the diameter of a flower s bloom d days after it was planted. 49. In the first year of production on a new running shoe, a manufacturer produced 0,000 of the new brand. Sales skyrocketed and for each of the next several years, shoe production went up by 5.5%. Which exponential function models the number of running shoes produced after x years? A f (x) = 0, x B f (x) = 0, x C f (x) = 0, x D f (x) = 0, x 50. What is the rate of change of the function f (x) = 0.5x +? Record your answer and fill in the bubbles on your answer document. Which prediction is based on a quadratic function that is a reasonable fit to the data? A The flower only blooms for about 0 days. B The flower will reach its peak bloom about 35 days after it is planted. C The flower s maximum bloom is about 35 centimeters. D The flower is pretty. 48. Which quadratic equation has the solutions 4 and? 5. How will the graph of f (x) = 3x be affected if the function changes to f (x) = 3x + 5? A The vertex of the graph will move left 5 units. B The vertex of the graph will move left 7 units. C The vertex of the graph will move up 7 units. D The vertex of the graph will move up 5 units. F 0 = x + x 8 G 0 = x + 9x + 0 H 0 = x 4x + J 0 = x + 4x 8 Pearson Texas Algebra I 59 Texas Practice EOC Assessment 3

10 5. The line represented by the equation y = x + 3 is graphed below. 54. Each year, the local country club sponsors a golf tournament. The table below shows the number of remaining participants after x rounds of play. Which of the following best describes the change in the graph if the line becomes y = x + 3? 3 F The graph shifts 3 units up. G The x-intercept will become greater. H The graph will point up from left to right. J There will become two x-intercepts. 53. Write the equation of the line that is perpendicular to the line shown in the graph below through the point (3, ). Based on the exponential function that best fits the data, which prediction is true? F After round 8, a winner will be declared. G The tournament started with 4 participants. H After round 0, there will be participants remaining. J The number of participants decreases by 6% each round. A x = 3 B x = C y = 3 D y = Pearson Texas Algebra I 60 Texas Practice EOC Assessment 3