Algebra I semester one review 3. Evaluate and then grid your approximate answer. a pam production packet A. The volume of a cone using the formula 1. Evaluate and grid your answers. A. 4 3(5) 1 C. 52 2(20) 2 1 V r 2 h 3 B. 4( x 6) for x=6.25 D. when r=2 and h=12. Use 3.14 . 49 4 B. The perimeter of a triangle with sides 3, 4 and 5 1 . 2 Round to the nearest tenth place. 4. In the figures provided, find the area of each. Use the formulas on the formula sheet. (The figure is a semicircle with a rectangle.) 200 feet 180 feet 5. Use the formula sheet to find the volume of a cube with each side 20 ft. 2. A triangle has area 2000 square feet and the base is 40 feet long. What is the height of the triangle? A. 50 B. 100 C. 25 D. 75 3. A rectangle has perimeter that is 100 feet, and one side of the rectangle is 20 feet. What is the length of the other side of the rectangle? 20 feet A. 5 feet B. 60 feet ? C. 30 feet D. 40 feet rev. 05-06 -1- version 3.0 6. Give the area of the figure below to the nearest tenth place. The triangle has sides that are 12, 14 and 16, and the round things are semicircles. Use 3.14 A. B. C. D. 177.4 249.4 326.3 338.9 9. Solve each equation. A. 90 x _____ 3 B. x 8 12 _____ 12 14 C. 9 7. A certain grain is sold in boxes. A box of grain that is 4 inches by 6 inches by 10 inches feeds 30 chickens. A second larger box is 8 inches by 6 inches by 20 inches. A. What is the volume of the big box described?____ B. What is the volume of the smaller box described?_____ C. Set up a proportion to find the amount of chickens that the larger box will feed. D. Solve your proportion. How many chickens will be fed by the smaller box? ___ A. x 8 2 ______ ______ D. 3x 12 _______ 16 8. Solve each equation. x 4 12 16 E. 15x 2 a. x 7.5 2 c. x 15 b. x 7.5 2 d. x 15 10. Solve each equation: A. 7 x 1 27 ____ B. 8x x 2x 17.5 ______ C. c 3 23 ______ 10 D. 9x x 5x 260 _____ E. 3(5 x 10) 3x 12 ____ F. f 12 10 a. f 2 b. f 2 c. f 22 d. f 22 G. 12x 10 10x 20 __________ H. x 4x 5x 16 _______ B. 2 x 101 _______ I. C. 2 x 60 ____ 3 J. 3x 9 5 30 Algebra One Semester One Review 05-06 _______ x 8 1 ______ -2- 15. Choose the algebraic expression for each verbal expression. (See the choices below.) MATCHING: 11. The measure of two angles of a triangle are 50 degrees and 33 degrees. What is the measure of the missing angle? _____ A. Four more than twice a number. B. Four less than twice a number. 12. x = ____ C. Twice the sum of a number and four. o 100 3x 40 D. Twice the difference of a number and four. o E. The product of twice a number and four. F. The sum of twice a number and four. 1 13. Change the equation y x 3 to 2 Choices: 1. 2x 4 standard form. A. 2 x y 6 B. x 2 y 6 C. 2 x y 6 D. x 2 y 6 3. 2( x 4) 4. 4 2 x 5. 2x 4 6. 2x 4 7. (2 x)( 4) 8. 2x 4 16. Find the next term in the sequence: x 2x 3x y, y2 , y 3 , _____ 2 3 4 14. What is the equation of the line graphed below? 2. 2( x 4) 17. An insurance company says that the probability of a high school student of 1 getting in a car accident is . If there 3 are 1200 students in a school, how many of them would you predict (using this data) would get in a car accident? A. y 4 x 1 B. y 4 x 1 C. y 4 x 1 D. y 4 x 1 A. 36 C. 40 B. 360 D. 400 18. Use the distributive property to rewrite the expression: 8(2 x 4) A. 10x 12 C. 16 x 32 Algebra One Semester One Review 05-06 B. 16 x 4 D. 10 x 4 -3- 19. Samuel and Joyce both bought CDs. Samuel bought 3x CDs and Joyce bought 2x-1 CDs. If each CD had a regular price of $18 and a discount of $2, then which expression would show the amount of discount for all of their CDs? A. 5x 1 C. 2(5 x 1) B. 2(4x) D. 16(6 x ) What is the expression for the COST of their CDs, combined? (ignore tax) A. 16(5 x 1) B. 2(4x) C. D. 16(4 x) 2(5 x 1) C. ________ | 6 | ______ 21. Tell the order of operations to use: 3 5 2 32 2 A. Square, Multiply, Divide, Subtract, Add B. Square, Multiply, Divide, Add, Subtract C. Add, Subtract, Multiply, Divide, Square D. Subtract, Multiply, Add, Square, Divide 22. Which expression represents the following sentence: Two pounds of nuts which cost x dollars a pound, and four pounds of chocolates which cost $3 a pound costs $20. A. 2x + 3(20) = 4 B. 2(x+4) = 20 C. 2x+4(3)=20 D. 2(x+12)= 20 A. Her salary is one dollar more than twice John’s salary. B. John’s salary is twice hers plus $1. C. Twice John’s salary is the same as her salary plus one. D. Twice her salary is the same as John’s salary plus $1. Choices: 1. 2H=J+1 2. H=2J+1 3. 2J=H+1 4. J=2H+1 24. Tell the order of operations needed to evaluate: 4 3 5 2 . A. Add, Subtract, Multiply B. Subtract, Add, Multiply C. Multiply, Add, Subtract D. Multiply, Subtract, Add 20. Evaluate: A. | 4 - 10 | _______ B. | 8 | | 2 | 23. Match the statement with the equation: (Choices are below) 27. Evaluate the expression in #26. ____ 25. Express each in terms of x (solve for x). A. 2 x 3 y _________ B. 2 2 x 1 4 y _________ C. 2 A 4x 3B 10 _______ D. 3xyz P (choose) a. x P 3 y z b. x P 3 yz P c. x 3 yz d. x P y 3 z Algebra One Semester One Review 05-06 -4- 26. 10 25 8 x 30. In a pet store there are five puppies, four cats, three birds, and one fish. If a pet is chosen at random, then what is the probability that it will be a bird or a puppy ? Given that the triangles are similar, find x. A. 27. 2 13 B. 1 4 C. 8 13 D. 1 8 31. 15’ x 6 12 A wall is in the shade of a lamp. If the shadow is 12’ for the wall, the lamp is 15 feet tall, and the wall is 6’ from the lamp, then how tall is the wall? 28. Maria wants to draw a picture that will be 10 feet wide. The original is 8 inches wide. If the original is 6 inches long, then how long is the larger picture going to be? A. 8 feet B. 4 feet C. 7.5 feet D. 4.8 feet For each set of coordinates below tell which set is NOT graphed. A. (4, 0) B. (-3, -2) C. (2, -3) D. (2, 0) 32. Find the amount of air that can fit in each container below. A. B. radius 8 inches 8 10 29. Maurice wants to paint his house. He can choose six kinds of white paint and four kinds of blue. All are different shades. If he chooses a color at random then what is the probability that he will choose blue? 1 4 A. B. 10 6 4 1 C. D. 10 2 12 ft C. D. 6’ 8’ 9 7 Algebra One Semester One Review 05-06 -5- 33. Kristy worked at a job and earned the money graphed. Construct a graph and label the axes, and title it to show how much Kristy earned. 35. If Kristy wanted to graph her paychecks and she made a maximum of $600 and a minimum of $50 but wanted to start her graph at $0, what increments would she use on the graph below? Tell two things wrong with the graph below. $500 $300 $200 $50 MONTHS Jan Feb Mar Apr May June Months Kristy worked 36. In the graphs below, the water level of a swimming pool is graphed. 34. If the graph is correct (except for the two errors you found in #44) tell which statement is correct for the pay Kristy earned. Graph A A. Kristy was consistent in her paycheck. B. Kristy made more money in the last months graphed. C. Kristy made a total of $1050. D. Kristy made more money in the first months graphed. Graph B Choose a description for graph A. A. The pool’s height increases and then decreases. B. The pool’s height is constant. C. The pool’s height increases with time. D. The pool’s height rises and then stays constant. Algebra One Semester One Review 05-06 -6- 42. Find the slope of each line below. 37. For x=5 and y=8 grid A. 2 xy . x y the value of B. 1 3 c. 3 1 3 d. 3 b. a. C. 38. A tree casts a 20 foot shadow at the same time of day that a man casts a 12 foot shadow. If the man is 5.5 feet tall then how tall is the tree? b. undefined d. -1 E. man 5.5 A. 9 B. 9 C. 1 9 D. 1 9 40. Find the slope of the line through (4, 6) and (4, 10). A. 0 B. 3 C. 1 3 D. undefined 1 3 d. 3 a. 0 c. 1 b. undefined d. -1 b. F. 2 3 c. 39. Find the slope of the line through (9, 4) and (0, 5). 1 3 c. 3 D. a. 0 c. 1 a. a. 3 2 3 d. 2 b. 2 3 a. 2 3 c. 3 2 3 d. 2 b. 2 3 43. Give the slope of each line with equation given … A. 2 y 4 x 8 ____ B. 6 x 5 y 7 ____ C. 3x y 3 ____ 41. Find the slope of the line through (4, 6) and (5, 6). A. 0 B. 3 C. 1 3 D. undefined Algebra One Semester One Review 05-06 -7- 44. Graph y 3 x 2 and tell the slope. 48. Which line is parallel to the graph of x 2y 9 ? 1 A. y C. 3y 6 9x 2 x 1 B. 2y x 9 D. y 1 2 x 3 2 49. Which equation is of a line perpendicular to the graph of y 4 x9 3 ? 3 A. y x 9 4 Slope of the line above is ____ 45. Graph y 4 x 2 and tell the slope. C. 50. y 4 3 x 8 B. y 9 D. y 3 x 4 4 3 x 8 A man wants to take a limo and it costs $60 for the trip plus $0.20 per mile traveled. A taxi would cost $10 for the trip plus $0.10 for every mile traveled OVER 10 miles. A. How much would the limo cost for a 120 mile trip? B. How much would the taxi cost for a 120 mile trip? Slope of the line shown is _____. 46. Find the y-intercept of the lines below. A. 2 y 4 x 8 ____ B. 6 x 5 y 7 ____ C. 3x y 3 3x y 3 51. The equation of the line shown is… a. y 4 x 4 ____ b. y 4 x 4 47. Find the x-intercept of the lines. A. 2 y 4 x 8 ____ B. 6 x 5 y 7 ____ C. C. If the trip costs $90, and the man took the limo for a trip, how many miles did the man travel? c. y 4 x 4 d. y 4 x 4 ____ Algebra One Semester One Review 05-06 -8- 52. A squirrel is climbing a tree. She starts 2 feet above ground and climbs up at 3 feet per minute. This is a very slow squirrel! 55. Tell which relation(s) graphed below is/are a function. A. B. A. How many feet above ground will the squirrel be after five minutes? B. How high will she be after 10 minutes? C. D. C. How high will she be after x minutes? D. Write an equation for the height of the squirrel after x minutes. E. F. E. When will the squirrel be 305 feet high? Show your work. 53. A bird is 30 feet high, in a tree. A worm is on the ground. I will call the worm Harry, although he is not. Harry is 40 feet from the base of the tree. How far is Harry from the hungry bird? tweet 56. Tell if each relation listed below is a function. A. {(2,3), (0, 3), (4, 2), (5, 6)} _____ B. {(1, 4), (-2, 3), (1, 7}} _______ 57. Tell the domain and range of the relation below. ? Harry 54. Harry has a cousin, Sidney. Sidney has climbed the tree, looking for the bird. Sidney is a psycho worm. The bird is on Sidney the ground, digesting Harry. If the bird is 24 feet from the ? base of the tree and is 25 feet from Sidney, how high in the tree is Sidney? {(2,3), (0, 3), (4, 2), (5, 6)} domain ___________ and range ____________ 58. For f ( x) 3x2 x find f (2) . ____ 59. For f ( x) 3 x 4 find f (10) . _____ Algebra One Semester One Review 05-06 -9- point- slope y y1 m( x x1 ) 60. Match the graphs: A. y 3 x 4 standard Ax By C G1 B. y 3x 4 slope-intercept y mx b C. y 3x 4 D. y 3 x 4 64. What is the equation in point-slope form of the line with slope G2 G3 contains the point (4, -9) ? 1 (4 x) 3 1 B. y 9 ( x 4) 3 1 C. y 9 ( x 4) 3 1 D. y 4 ( x 9) 3 A. 9 y G4 1 and which 3 65. Write the equation in standard form of the line through the point (4, -1) 61. Which point is in quadrant IV? A. (-1, 2) B. (2, 1) C. (2, -1) D. (-2, -1) 1 . 3 A, x 3 y 1 C. x 3 y 7 with slope 62. Combine like terms: a. 3x 5 x _________ D. 3x y 11 66. Write the equation in slope-intercept for of the line through (4, -1) with slope b. 4 x 5 y x 7 y _________ 1 . 3 c. 6 7 y 1 10 y _________ 63. Match. A. x 3 B. y 3 B. 3x y 11 A. y p 1 x 1 3 C. y 4 x 1 1 7 x 3 3 1 D. y x 1 3 B. y C. x y 3 D. x y 3 q r s Algebra One Semester One Review 05-06 - 10 -