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ALGEBRA I MIDTERM EXAM 2010 - 2011 DIRECTIONS: 1. DO NOT WRITE ON EXAM 2. WRITE EXAM NUMBER ON ANSWER SHEET 3. WRITE ALL ANSWERS ON ANSWER SHEET 4. WRITE LEGIBLY 5. TALKING WILL RESULT IN A ZERO Newton EXAM # ________ Newton 10_11 2 Newton 10_11 Section 1 ~ Algebraic Expressions Write the algebraic expression. 1. the product of 8 and c 2. a number decreased by five 3. eight less than half of a number Evaluate the power. 4. 5 2 5. 4 3 6. 7 3 Evaluate the expression. 7. gp – km for g = 9, p = -2, k = -5 and m = -1 8. 2a b + c2 for a = 4, b = -7 and c = 8 Simplify each expression, using Order of Operations (PEMDAS). 9. 4(3) (3) 27 11. 3 52 10. -8(9) – (-12) 12. 3(62 + 42) – (33 + 4) Simplify the expression. 13. 35 14 y 7 14. 18a 30 3 15. 48 x 6 6 Check whether the given number is a solution of the equation or the inequality. 16. 5p – 2 = 12; 3 17. n + 5n = 20; 5 Section 2 ~ Number Sense Write the numbers in increasing order. 19. 2, -3, -2.5, 4.5, - 1 1 2 3 18. 3 + w 9 ; 6 Newton Find the absolute value of the number. 20. 1.7 10_11 21. 4 22. 3 23. (21)( x)( x) x 24. (-6)(-z) 25. – ( y ) 2 26. 5y – 2y 27. 3x – 5 + 2x 28. 7 – 4(x + 2) Simplify the expression. Section 3 ~ Properties Perform the indicated operation. 29. 7 (-8) 30. 12 4 31. 6(3x – 2) 32. (-9)2 33. 81 – 19 34. -11.2 + 3.6 35. 19 – 28 36. –(8x – 3) Section 4 ~ Solving Equations Solve each equation. 37. x – 7 = 9 40. x 49 7 43. 2 x48 5 38. x + 11 = 19 39. 3x = -9 41. 7x – 3 = 18 42. -3x + 8 = 2 44. x + 4x = -90 45. 2(x + 5) = 9 Solve each equation. Write identity or no solution. 46. 9 + 5n = 5n – 1 47. 9 + 5x = 7x + 9 – 2x 48. 4 – 4y = -2 (2y – 2) Section 5 ~ Functions 49. Find the range of the function f ( x) 4 x 1 when the domain is {-4, 0, 1, 5}. Use an input-output table to record your answers. 4 Newton Determine whether each relation is a function. Write yes or no. 50. 51. Input Output 10_11 Input Output 1 3 1 3 2 3 1 4 3 4 2 5 4 4 3 6 Determine whether each relation is a function. Write yes or no. 52. 53. Section 6 ~ Slope and Graphing Linear Equations m y = mx + b y 2 y1 x2 x1 Find the slope of the line that passes through the points. 54. (3, 2) and (5, 6) 55. (-2, 1) and (1, -2) Find the value of y so that the line passing through the two points has the given slope. 56. (5, -1), (-2, y), m = 1 57. (3, 5), (1, y), m = 3 2 Decide whether the graphs of the two equations are parallel lines. Write yes or no. 58. y = 2x – 1, y = -2x + 1 59. 3x + 2y = 1, -2y = 3x – 2 Write an equation in slope-intercept form. 60. m = 2; b = -3 1 61. m = ; b = 2 2 5 62. (3, 4) and m = 2 Newton Graph the following equations. 10_11 2 x–2 3 63. y = 2x + 3 64. y = 65. 5x + 2y = 10 66. x + 3y = -6 67. y – 2 = -3(x + 1) 1 68. y + 3 = (x + 2) 2 Solve the equation graphically. Check your solution algebraically. 69. -2x + 13 = 7 Section 7 ~ Writing Linear Equations Write an equation of the line in slope-intercept form. 70. The slope is 10; the y-intercept is -3. 4 71. The slope is ; the y-intercept is 0. 3 Write an equation of the line shown in the graph. 72. 73. Write an equation in slope-intercept form of the line that passes through the point and has the given slope. 75. (-4, 3), m = 74. (3, 0), m = -2 6 3 4 Newton 10_11 Write an equation in slope-intercept form of the line that is parallel to the given line and passes through the given point. 76. y = 2x + 3, (-4, 1) Write an equation in slope-intercept form of the line that passes through the points. 77. (-5, 2), (1, -1) 78. (-3, -1), (3, 5) Write an equation in slope-intercept form of the line that is perpendicular to the given line and passes through the given point. 79. y = -3x + 5, (3, 4) Write the equation in standard form with integer coefficients. 1 81. y x 5 3 80. 5x – y + 6 = 0 Write the equations in standard form of the horizontal and vertical lines. 82. Section 8 ~ Vocabulary Match the words to their definition. Each word is only used once. 1. A letter used to represent one or more numbers 2. The numbers that can be seen on the number line, ie: …-3, -2, -1, 0, 1, 2, 3… 3. The pair of numbers (x, y) giving the location of a point on a coordinate plane 4. A relationship between two numbers where each input has exactly one output 7 Newton 10_11 5. The answer to a subtraction problem 6. Terms with no variable attached 7. The point where the graph crosses the y-axis 8. The number of times you multiply the base by itself 9. Ax + By = C 10. The steepness of a line; rise/run 11. An expression that contains an equal sign 12. A combination of numbers, variables and operations 13. The distance between a number and the origin on a number line 14. All variables have no greater power than 1, ie: y = 2x + 5 15. Parenthesis and/or brackets 16. Used to determine whether a relation is a function; a relation is a function if no vertical line intersects the graph at more than one point 17. All numbers 18. To “flip” a fraction, ie: 1 3 3 1 19. The sections of a coordinate plane 20. To replace the variable(s) with values and solve using order of operations 21. Lines that intersect to form a right angle and have opposite reciprocal slopes 22. Two equations that have the same solutions 23. Any and all values of a variable that satisfy the equation or inequality 24. The point where the graph crosses the x-axis 25. a(b + c) 26. An expression that contains an inequality symbol 8 Newton 27. Input values 10_11 28. y = mx + b 29. An expression used to calculate a desired result, ie: A = lw 30. The answer to an addition problem 31. The number assigned to a variable, ie: x = 3 32. Output values 33. The expression 5 2 is known as a ____________. 34. A basic relationship between two numbers 35. An expression that contains no parenthesis and all like terms have been combined 36. m y 2 y1 x2 x 37. In the expression 32 , 3 is the ____________. 38. PEMDAS 39. The answer to a multiplication problem 40. The point labeled zero on the number line 41. Positive vs. negative 42. The parts of the expression being added 43. The answer to a division problem 44. The number in front of the variable 45. Terms of an expression that have the same variable raised to the same power 46. Operations that undo each other used to solve the equation 47. 2 = 2 48. y by itself in an equation 49. Lines that do not intersect and have the same slope 9 Newton A. Variable B. Value C. Variable Expression D. Evaluating the Expression E. Power F. Exponent G. Base H. Grouping Symbols I. Order of Operations J. Equation K. Inequality L. Solution M. Sum N. Difference O. Product P. Quotient Q. Real Numbers R. Origin S. Integers T. Opposites U. Absolute Value V. Terms of an Expression W. Distributive Property X. Coefficient Y. Like Terms 10_11 Z. Constant Terms AA. Simplified BB. Reciprocal CC. Equivalent DD. Inverse Operations EE. Linear Equation FF. Identity GG. Formula HH. Function Form II. Ordered Pair JJ. Quadrant KK. x-intercept LL. y-intercept MM. Slope NN. Slope Formula OO. Slope-intercept Form PP. Parallel Lines QQ. Function RR. Relation SS. Domain TT. Range UU. Vertical Line Test VV. Perpendicular Lines WW. Standard Form (of a Linear Equation) Section 9 ~ Short-cycle Multiple Choice 1. Sandy finds that the data in her science experiment can be modeled by a linear function. Which could not be the function that models Sandy’s data? a. 3x + 2y = 1 b. y = 2x – 5 c. 2y = 3x – 1 d. y = 4x 2 + 2 2. Which shows a pair of equivalent expressions? a. (mn)p and m(n + p) b. 14(c + d) and 7(2d + 2c) c. 7vw and 7(w + v) d. 3(g + h) and 3gh 10 Newton 10_11 2 3. Which graph represents the function f(x) = x – 4? 3 a. b. c. d. 4. Which table 11