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FIRST SEMESTER REVIEW Name: Date: 1. Solve for x: 5x 2. Solve for x: 3(2 3. Which is a correct procedure for solving the linear inequality below? 2y + 8 > 4 A. B. 2(x + 1) = 10. x) = 8(x 4. 2) 6y 2y + 8 > 4 6y 4y + 8 > 4 4y > 4 y>1 A. 2y + 8 > 4 6y 8y + 8 > 4 8y > 4 y> 1 2 C. 2y + 8 > 4 6y 4y + 8 > 4 4y > 4 y<1 D. 2y + 8 > 4 6y 8y + 8 > 4 8y > 4 y< In the diagram below, what is the slope of the line passing through points A and B? 1 2 page 1 2 B. 2 C. 1 2 D. 1 2 5. Some ordered pairs for a linear function of x are given in the table below. x y 1 1 3 7 5 13 7 19 7. Which of the following equations was used to generate the table above? A. y = 2x + 1 B. y = 2x 1 C. y = 3x D. y = 4x 3 2 8. 6. The data in the table show the cost of renting a bicycle by the hour, including a deposit. If hours, h, were graphed on the horizontal axis and cost, c, were graphed on the vertical axis, what would be the equation of a line that ts the data? A. c = 5h B. c = 51 h + 5 C. c = 5h + 5 D. c = 5h 9. 5 A local kennel has twice as many cats (c) as dogs (d). When full, the kennel has a total of 30 cats and dogs. Which system of equations could be used to nd the number of cats in the kennel when it is full? A. c = 2d c + d = 30 B. d = 2c c + d = 30 C. c + d = 30 c=d+2 D. c=d 2 c + d = 30 Doug and Laura sold cans of soda to raise money for a school dance. Doug sold 4 less than 3 times as many cans as Laura. Together they sold 300 cans. Which system of equations could be used to determine d, the number of cans Doug sold, and l, the number of cans Laura sold? A. d = 4 3l d + l = 300 B. d = 3l 4 d + 3l = 300 C. d = 3l 4 d + l = 300 D. d = 3l + 4 d + l = 300 Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have? A. 27 page 2 B. 40 C. 56 D. 73 FIRST SEMESTER REVIEW 10. 11. Josh and Andrea each have $10.50. Josh spends all his money and buys 2 hamburgers and 3 sodas. Andrea spends $7.50 and buys 2 hamburgers and one soda. What is the cost of one hamburger? A. $1.50 B. $2.50 C. $3.00 D. $8.75 Use the gure below to answer the following question. This graph was made to compare the costs of renting copy machines from Ames Business Products to those from Beck's O ce Supply. What information is given by the point of intersection of the two lines? A. the number of copies for which the xed per-month charge is equal to the cost of copies B. the price per copy for renting a copier from both companies C. the xed per-month charge for renting a copier from both companies D. the number of copies for which the total cost per month is the same for both companies page 3 FIRST SEMESTER REVIEW 12. The graph below compares the income and expenses involved in the production and sales of tennis shoes at a shoe factory. 13. Use the graph below to answer the question. The graph above shows the costs of two phone plans. How many minutes does a person need to call each month so that Plan B is the less expensive plan to use? How many pairs of tennis shoes must be sold for income and expenses to be equal? A. less than 10 minutes B. more than 10 minutes but less than 20 minutes C. more than 30 minutes but less than 40 minutes D. more than 40`minutes page 4 FIRST SEMESTER REVIEW 14. Use the system of inequalities to answer the question. y x+1 y > 3x 2 Which graph shows the solution to this system of inequalities? A. B. C. D. page 5 FIRST SEMESTER REVIEW 15. Which of the following graphs best represents the solution set to the system of linear inequalities shown below? 3x 5y 15 2x + 3y > 6 A. B. C. D. page 6 FIRST SEMESTER REVIEW 16. What are the real roots of the function in the graph? 17. The graph of a quadratic function is shown below. Which set includes the zeros of this function? A. 3 C. 1 and 3 B. 6 D. 6, 1, and 3 page 7 A. f2; 4g B. f 2; 4g C. f 4; 2g D. f 4; 2g FIRST SEMESTER REVIEW 18. Look at the graph below. 19. The graph below shows the amount of pro t, y, a company makes from selling x units of merchandise. How many units of merchandise does the company need to sell to make the maximum pro t? Which of these terms describes the y-coordinate of the point (2; 6)? A. zero B. intercept C. minimum D. maximum A. 100 page 8 B. 300 C. 500 FIRST SEMESTER REVIEW 20. What are the vertex and the axis of symmetry of the parabola shown in the diagram below? 21. A. The vertex is ( 2; 3), and the axis of symmetry is x = 2. Which is an equation of the line of symmetry for the parabola in the accompanying diagram? A. x = 2 B. x = 4 C. x = 3 D. y = 3 B. The vertex is ( 2; 3), and the axis of symmetry is y = 2. C. The vertex is ( 3; 2), and the axis of symmetry is y = 2. D. The vertex is ( 3; 2), and the axis of symmetry is x = 2. page 9 FIRST SEMESTER REVIEW 22. The graph of the equation y = x2 is shown below. 3x 4 23. The accompanying diagram shows a parabola. Which statement is not true? A. The equation of the axis of symmetry is x = 2. B. The parabola has a minimum point. For what value or values of x is y = 0? C. The turning point of the parabola is ( 2; 1). A. x = 1 only D. The parabola has two x-intercepts. B. x = 4 only C. x = 1 and x = 4 D. x = 1 and x = 4 24. Which of the following statements describes the graph of the parabola with the equation y = 3x2 ? A. The graph opens upward, and the vertex is (0; 0) . B. The graph opens upward, and the vertex is (0; 3) . C. The graph opens downward, and the vertex is (0; 0) . D. The graph opens downward, and the vertex is (0; 3) . page 10 FIRST SEMESTER REVIEW 25. 26. Tim kicks a ball o the ground. After t seconds, its height, h (in feet), is given by the formula h = 16t2 + 64t. What is the maximum height reached by the ball? A. 80 feet B. 64 feet C. 48 feet D. 16 feet Antonio threw a ball with an upward velocity of 6 meters per second from a height of 8 meters. The formula h = 4:9t2 + 6t + 8 describes this situation, where t represents the time in seconds since the ball was thrown. 27. 28. Which estimate is closest to the time it will take the ball to hit the ground (h = 0)? A. 0.71 second B. 0.80 second C. 1.94 seconds D. 2.03 seconds An object that is projected straight downward with initial velocity v feet per second travels a distance s = vt + 16t2 , where t = time in seconds. If Ramon is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground? A. 2 seconds B. 3 seconds C. 6 seconds D. 8 seconds A ball is tossed into the air. The height of the ball as a function of time can be described by the equation h = 16t2 + 72t. In this equation h is the height of the ball in feet and t is time in seconds. After how many seconds will the ball hit the ground? page 11 A. 4 seconds B. 4.5 seconds C. 9 seconds D. 56 seconds FIRST SEMESTER REVIEW 29. What is the range of the function f (x) = x2 6 when the domain is f3; 4; 5g ? A. f3; 4; 5g B. f 3; 2; 1g C. f3; 10; 19g D. f0; 2; 4g 31. Study the graph of y = x2 , shown below. If the graph is moved up 3 units, what equation will it represent? A. y = x2 + 3 30. C. y = (x What is the range of the function f (x) = 1 2 2x B. y = (x + 3)2 3)2 D. y = x2 3 +4 when the domain is f 2; 0; 4g ? A. f2; 4; 10g B. f3; 4; 6g C. f4; 6; 12g D. f4; 6; 8g 32. Given y = x2 , how would the graph of y = x2 2 di er? A. It shifts 2 units up. B. It shifts 2 units down. C. It shifts 2 units left. D. It shifts 2 units right. page 12 FIRST SEMESTER REVIEW 33. The diagram below shows the graph of y = x2 Which diagram shows the graph of y = x2 c. c? A. B. C. D. page 13 FIRST SEMESTER REVIEW 34. Beth and Jacob are graphing two equations on a coordinate grid. Beth has graphed the equation y = x2 + 1. 35. Which equation represents the graph of a parabola that opens up and is wider than the graph of y = x2 ? A. y = 2x2 + 3x 5 B. y = 12 x2 + 3x 5 C. y = 2x2 + 3x D. y = 36. If Jacob graphs y = x2 + 3, where will his graph be in relation to the graph Beth made? (4x2 1 2 2x + 3x 5 5 (x2 + 3x 2x + 8) 2) = A. 3x2 + x + 6 B. 3x2 + x + 10 C. 3x2 D. 3x2 5x + 6 5x + 10 A. 2 units up B. 3 units up C. 2 units to the left 37. D. 3 units to the right page 14 What is the area of the rectangle shown? A. 5a B. 5a2 b C. 5a3 b D. 5a3 b2 FIRST SEMESTER REVIEW 38. Which expression is equivalent to (2x 5) (3x 8)? A. x 13 B. C. 2x 16 D. 5x 39. Which expression is equal to (x + 3)2 ? A. x2 + 6 B. x2 + 9 C. x2 + 6x + 9 D. x2 + 3x + 9 x+3 3 page 15 FIRST SEMESTER REVIEW Problem-Attic format version 4.4.218 c 2011–2014 EducAide Software _ Licensed for use by Joyce Cantu Terms of Use at www.problem-attic.com FIRST SEMESTER REVIEW 12/17/2014 1. Answer: 4 21. Answer: C 2. Answer: 2 22. Answer: C 3. Answer: B 23. Answer: D 4. Answer: D 24. Answer: C 5. Answer: C 25. Answer: B 6. Answer: C 26. Answer: D 7. Answer: A 27. Answer: A 8. Answer: C 28. Answer: B 9. Answer: A 29. Answer: C 10. Answer: C 30. Answer: C 11. Answer: D 31. Answer: A 12. Answer: 800 32. Answer: B 13. Answer: D 33. Answer: A 14. Answer: A 34. Answer: A 15. Answer: D 35. Answer: B 16. Answer: C 36. Answer: D 17. Answer: B 37. Answer: D 18. Answer: D 38. Answer: B 19. Answer: B 39. Answer: C 20. Answer: A 40. Mary has $50 to spend on mp3 songs. The inequality 2.5x + 5.5 < 50 represents the amount she can spend for the songs. What is the greatest # of songs she can buy? A. 22 B. 17 C. 8 D. 9 41. Solve the system of equations y = 4x + 3 -2x + y = -1 A. (-2, -5) B. (2, 11) C. (1, 7) D. (-1, -1) 42. Label the number of solutions for the system of equations shown. created by Acces for use by Eisenhower High School only. created by Acces for use by Eisenhower High School only. created by Acces for use by Eisenhower High School only.