Algebra. 2 nd Semester Exam Review. Name: x = 9 Ê Ë. MPS/Rev. Spring 2010
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1 MA27 Algebra Ê Ë 4x 6 ˆ x = 9 2 nd Semester Exam Review Name:
2 1. Simplify each expression. (1.2) a) 2 4 = b) 7 0 = 2. Simplify each expression. (1.2) a) 15 2 = b) five cubed = Evaluate each expression when x = 3 and y = 2 in Questions 3 4. (1.2) 3. 2x + 3y 3 = 4. (3y) 2 (x + 5) = 5. Simplify each expression. (1.3) a) 7 2(5 + 4) b) 14! (3 +1) 6. Which of these equations best describes the pattern in the table? (1.7) a) y = 5x b) y = x 12 c) y = x 2 d) y = 5x MA27 Algebra 2 nd Semester Exam Review 1
3 Simplify each expression for Questions (2.6) 7. a) 5(m 3) b) 7x x 8. 3(2x 2 + 5x 1) 9. 5y + 3x + 2y + 7x x 4y + 1 7x 11. 6(y 2) + 3(y + 2) 12. 2(3x 1) (x + 1) Solve each equation for the variable in italics in Questions (3.7) 13. d = rt 14. A = bh MA27 Algebra 2 nd Semester Exam Review 2
4 15. P = a + b + c 16. P = 2L + 2w 17. A = 1 2 bh 18. x = a + b Write the equation of the line. (4.2) Graph each equation for Questions (4.6) 20. y = x 3 MA27 Algebra 2 nd Semester Exam Review 3
5 21. y = 3 5 x -1 Evaluate the function for the given value. (4.8) 22. f ( x) 2 = x find: f (-4), f (- 1), f (0), f (7) 23. Which of the equations below matches this table? (4.8) x y a) y = x + 2 b) y = x 2 c) y = 2x + 3 d) y = x 2 Write in slope-intercept form the equation of the line that passes through each point and has the given slope in Questions (5.2) 24. (0, 4) slope = ( 2, 5) slope = 3 4 MA27 Algebra 2 nd Semester Exam Review 4
6 Write the equation of the line that passes through the given points in Questions (5.3) 26. (0, 1) and ( 2, 0) 27. (5, 4) and ( 2, 4) Write the equation of the line in point-slope form in Questions ( ) Write each equation in standard form using the information given in Questions (5.6) 30. ( 6, 2) and (3, 5) 31. (2, 3) and (6, 0) MA27 Algebra 2 nd Semester Exam Review 5
7 State whether the two lines given are perpendicular, parallel, or intersecting in Questions (5.3) 32. 5x + y = 9 y = 5x x + 2y = 6 4x + 3y = 12 Solve each inequality and graph for Questions ( ) x < 7 2y 36. 2(x + 5) > x ! 4 MA27 Algebra 2 nd Semester Exam Review 6
8 38. 2x + 7 < 9x + 7 Solve each equation in Questions (6.4) 39. x = x = x = A track meet had 9 people running the 200-meter race. How many different ways could there be 1 st, 2 nd, and 3 rd place winners? a) 24 b) 81 c) 504 d) 84 MA27 Algebra 2 nd Semester Exam Review 7
9 Match the situation to a graph that might represent it in Questions You ride your bike to your friends house, but make 2 stops on the way. 44. You ride your bike in a race and when you reach your maximum speed you continue for the remainder of the race at that speed. Solve each inequality and graph for Questions ( ) 45. 4z y 3 < 38 MA27 Algebra 2 nd Semester Exam Review 8
10 Solve each inequality and graph its solution for Questions (6.3) < x + 11 < x 9 < 1 or x 12 > At Lunchies, the menu lists the following choices: Lettuce: iceberg, spinach, romaine Toppings: cheese, peppers, olives, tomatoes Dressing: ranch, blue cheese, Italian How many different outcomes for choosing a salad are there if one item is chosen from each group? a) 12 b) 4 c) 10 d) Use the graph to determine the solution to the system of linear equations. (7.1) x + y = 1 2x y = 2 MA27 Algebra 2 nd Semester Exam Review 9
11 51. Graph to determine the solution of the linear system of equations. (7.1) x + 2y = 2 x y = Determine the solution of each linear system of equations. (7.2, 7.3, 7.5) a) x + 3y = 11 b) 2x y = 2 x + 3y = 7 4x + 3y = 9 Write a system of linear equations and solve for Questions The sum of two numbers is 154. The difference of the numbers is 38. Find the numbers. 54. A cash register contains $20.90 in dimes and quarters. If there are 119 coins in all, how many of each coin are in the cash register? MA27 Algebra 2 nd Semester Exam Review 10
12 Solve and graph each inequality for Questions (6.1) 55. x > x 4-12 Simplify each expression for Questions (8.1) 57. a) y y b) z 5 z 58. a) 2a(3b)(5a) b) (2a 3 b) Simplify each expression. (8.2) a) 8 0 b) 3 3 c) a 3 b Simplify each expression. (8.3) a) y y 3 b) 3x 4 9x MA27 Algebra 2 nd Semester Exam Review 11
13 61. Simplify each expression. (8.3) a) 9xy 4-18x b) Ê 2x Ë 3 ˆ Multiply. Write your answer in scientific notation. (8.4) (2.3 x 10 7 ) x (3.4 x 10 4 ) 63. Multiply. Write your answer in scientific notation. (8.4) (5.8 x 10 5 ) x (9.1 x ) 64. Solve the inequality and graph. ( ) 2(x + 5) > Determine whether the ordered pair is a solution to the system of linear equations. x y = 5 x + 2y = 4 ( 2, 3) MA27 Algebra 2 nd Semester Exam Review 12
14 66. Graph to determine the solution to the system of linear equation. (7.1) 2x + y = 4 4x 2y = Determine the solution of the linear system of equations. ( , 7.5) 2x 3y = 8 x + y = 1 Simplify each expression for Questions ( ) 68. a) 100 b) a) b) Solve each equation. Write your answer in simplest radical form for Questions (9.1) 70. a) x 2 = 25 b) x 2 = a) 3x 2 = 36 b) x 2 24 = 0 MA27 Algebra 2 nd Semester Exam Review 13
15 Solve each equation. Write your answer in simplest radical form for Questions (9.6) 72. x 2 7x + 12 = x 2 5x 1 = 0 Simplify each expression for Questions ( ) 74. a) m 2 m 3 b) x 75. a) 3 x 2 12xy b) x y 76. At Mesa Hot-Dog s, the menu lists the following: Dogs: regular, foot-long, bratwurst Buns: white, whole wheat Toppings: cheese, kraut, chili, onions, peppers How many different outcomes for choosing a hot dog are there if one item is chosen from each group? a) 15 b) 36 c) 24 d) 30 MA27 Algebra 2 nd Semester Exam Review 14
16 77. Simplify each expression by adding or subtracting. Write your answer in standard form. (10.1) a) (x 2 4) + (2x 2 + 6) b) (2x 2 x + 1) (3x 2 + x + 1) Simplify each expression for Questions (10.2) 78. 4(x 2 + 1) 79. 5x(2x 2 3x 1) 80. (x + 7)(x + 3) 81. (3x + 1)(x 4) Factor for Questions ( ) 82. a) x 2 + 7x + 6 b) x x a) x 2 5x + 6 b) x 2 + 3x a) x 2 4x 21 b) x 2 25 MA27 Algebra 2 nd Semester Exam Review 15
17 85. Factor completely. (10.6) 3x 2 18x + 27 Solve each inequality and graph the solution for Question ( ) x ! x 18 or 4x Simplify each expression. (8.1, 8.3, 9.2) a) 3x 5y b) (4x 2 ) 3 c) 2 2 8a b 3 20a b d) 225 MA27 Algebra 2 nd Semester Exam Review 16
18 Solve each equation. Write your answer in simplest radical form for Questions (9.1, 9.6) 89. x 2 = x 2 + 7x + 10 = At Chandler Bike Shop, the following choices are available for bikes: Bike: 2 speed, 3 speed, 10 speed Colors: blue, red, black, silver, gold, green How many different outcomes are there for choosing a bike? a) 18 b) 15 c) 12 d) 24 Simplify the expression if possible for Questions (11.4) x x x 2 + 5x 94. 4x -12 3x 2-9x MA27 Algebra 2 nd Semester Exam Review 17
19 95. Graph to determine the solution to the system of linear equation. (7.1) 3x y = 2 x 3y = 2 Simplify the expression for Questions (12.2) (4 2-5) Solve each equation for Questions (12.3) 99. x = x -16 = 0 MA27 Algebra 2 nd Semester Exam Review 18
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