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Math 8 ACC PRACTICE EXAM 2012 New Paltz Middle School Math 8 Accelerated Mid-Year Assessment Exam PRACTICE EXAM January 2012 Part 1 Directions: Answer all multiple choice questions 1) Which expression represents (2x 2 )(18x 8 ) in simplest form. 6x (1) x9 (2) x15 2) Which is the product of (3) 6x9 (4) 6x15 x5 x2 - 4 and expressed in simplest form? 3x - 6 x2 (1) x (2) (3) x + 5 x5 3 (4) x 3 3) Which interval notation represents the set of all numbers from 3 through 5 inclusive? (1) ( 3, 5) (2) ( 3, 5] (3) [ 3, 5) (4) [ 3, 5] 4) Which property is illustrated by the equation c(m + n) = cm + cn (1) identity (2) distributive (3) associative (4) commutative 5) Factored, the expression 25y2 – 16x2 is equivalent to (1) (5y – 8x) (5y – 4x) (2) (5y – 4x) (5y – 4x) (3) (5y – 8x) (5y + 4x) (4) (5y – 4x) (5y + 4x) 6) The expression x2 – 100 is equivalent to... (1) (x – 10) (x + 10) (2) (x – 50) (x + 50) (3) (x – 2) (x + 50) (4) (x + 2) (x - 50) 7) Given: Set A: { (-3, 4), (-2, 0), (1, 8)} Set B: { (-3, 4), (-8, 4), (1, 8), (7, 2)} What is the intersection of sets A and B? (1) { (-3,4)} (2) { (-3, 4), (-2,0), (-8, 4), (1, 8), (7, 2)} (3) { (1,8)} (4) { (-3,4), (1, 8)} Math 8 ACC PRACTICE EXAM 2012 8) What is an equation for the line that passes through the coordinates (5,0) and (0,2)? 2 x+5 5 2 (2) y = - x + 2 5 (1) y = - 5 x+5 2 5 (4) y = - x + 2 2 (3) y = - 9) A home repair store sells leaf blowers and cordless drills. The store makes a profit of $50 on the sale of each leaf blower (b ) and a $85 profit on the sale of each cordless drill (c ). The store believes it will make a profit of at most $405 per day on the sale of these items, since they assume sales will be slow this year. Which inequality describes this situation? (1) 50b + 85c 405 (2) 50b + 85c 405 (3) 50b + 85c 405 (4) 50b + 85c 405 10) What is the slope of the line containing the points (2, 1) and (-8, 9) (1) (2) 4 5 4 5 8x 5 - 32x 7 11) The expression 2x 4 (1) 4x ( 1 – 8x6) (2) 8x3 (x2 -2) 3 4 4 (4) 3 (3) is equivalent to (3) 4x ( 1 – 4x ) (4) 4x ( 1 – 4x2 ) 12) Which value of x is in the solution set of the inequality – 3x + 5 20 (1) 8 (2) - 3 (3) - 5 (4) - 8 13) A rectangle has an area of 48 square units. The width is 8 units less than the length. What is the length, in units, of the rectangle? (1) 4 (2) 12 (3) 6 (4) 8 14) What is the product of 2.5 X 106 and 3.0 X 102? (1) 7.5 X 1012 (2) 7.5 X 108 (3) 7.5 X 104 (4) 7.5 X 107 Math 8 ACC PRACTICE EXAM 2012 15) Which type of graph is shown in the diagram below? (1) absolute value (2) quadratic 16) What is the sum of (3) exponential (4) linear f 3f and expressed in simplest form? 2 5 11f 10 11f (2) 7 (1) 4f 10 4f (4) 7 (3) 17) Which ordered pair is in the solution set of the system of equations y = -x +2 and y = x2 - 6x + 2? (Hint: Which (x,y) pair works for both equations when you complete a check procedure?) (1) (-5, 7) (2) (-5, 57) 18) For which value of x is (1) 4 (2) 5 (3) (5, -4) (4) (5, -3) x-4 undefined? x 2 - 25 (3) 0 (4) 25 19) Which verbal expression represents 3(n - 5)? (1) (2) (3) (4) three times the quantity n less than 5 three times the quantity 5 less than n three times n minus 5 three times 5 minus n Math 8 ACC PRACTICE EXAM 2012 20) Which inequality is represented by the graph below? (1) y 3x - 1 (2) y 3x - 1 (3) y 3x - 1 (4) y 3x - 1 21) Each graph below represents a possible relationship between temperature and pressure. Which graph does not represent a function? Math 8 ACC PRACTICE EXAM 2012 3y 2 - 12y 22) The expression is equivalent to 4y 2 - y 3 3 y 3 (2) y (1) (3) (4) 9 4 3 12 4 y2 23) The solution set for the equation x2 – 5x = 6 is (Hint: Which pair of x-values both work in the equation above when completing a check procedure?) (1) {1, -6} (2) {2, -3} (3) {-1, 6} (4) {-2, 3} 24) The expression (x2 – 5x -2) – ( -6x2 -7x – 3) is equivalent to (1) 7x2 – 12x -5 (2) 7x2 – 2x + 1 25) (3) 7x2 + 2x + 1 (4) 7x2 + 2x - 5 Which graph represents a direct variation? (1) (2) (3) (4) 26) If the point (3, 2) is on the line whose equation is y = 2x + b, what is the value of b? (1) - 1 (2) 4 (3) - 4 (4) 1 27) When 4g2 – 5g + 2 is subtracted from 8g2 + 6g -2, the difference is (1) 4g2 +1g (2) -4g2 -11 g + 4 28) (3) - 4g2 + 1g (4) 4g2 + 11g - 4 Evaluate: │2 -1 │ - │ -4 + 3│ (1) 1 (2) 5 (3) - 5 (4) 3 Math 8 ACC PRACTICE EXAM 2012 29) When 3x2 + 15x - 42 is factored completely the result is: (1) ( 3x -7 ) ( x + 14) (2) 3 (x2 + 5x - 14) (3) 3 ( x – 7) (x + 2) (4) 3 (x + 7) ( x - 2) 30) The table below shows the number of people who attended the town festival each year during a five-year period. Town Festival Year 2000 2001 2002 2003 2004 Number of People 723 756 798 815 834 What is the approximate percent increase in the number of students from 2000 to 2004? F 40% G 35% H 20% J 15% 31) What is the product of -4x2y and (6xy2 + xy)? (1) –24x3y3 – 4x3y2 (2) –24x3y3 – 4x3y (3) –24x2y2 – 4x2y (4) –24x3y3 + xy 32) If 4ax + b = c, then x equals (1) c – b + 4a (2) c-b 4a (3) c + b – 4a (4) b-c 4a 33) John and Sara have been selling frozen pizzas for a class fundraiser: John has sold one-third as many pizzas as Sara. Together they have sold a total of 108 pizzas. How many pizzas did John sell? (1) 81 (2) 27 (3) 36 (4) 72 34) Nicole’s aerobics class exercises to fast-paced music. If the rate of the music is 140 beats per minute, how many beats would there be in a class that is 0.25 hour long? (1) 35 (2) 105 (3) 6,300 (4) 2,100 Math 8 ACC PRACTICE EXAM 2012 35) The gas tank in a car holds a total of 16 gallons of gas, The car travels 75 miles on 4 gallons of gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the amount of gas in the tank? PART 2: Directions: All work must be shown to receive full credit. 36) Solve for m: 6 + 4m = 10m - 18 37) Determine the value(s) of x which will result in an undefined fraction for the following: 3 x-2 Math 8 ACC PRACTICE EXAM 2012 38) Solve for x: 5 – 2x ≥ 8 + x PART 3: Directions: All work must be shown to receive full credit. 39) Solve for x : 3x 3 7 x - 1 3 5 40) Solve the following inequality and graph: y + 2x 5 Math 8 ACC PRACTICE EXAM 2012 41) Part A: Complete the table for the quadratic equation y = x2 – 8x + 12. x 1 2 3 4 5 6 7 Part B: Construct a graph based on your results in Part A Part C: What is the turning point? _________________ What are the roots? _______________________ x 2 – 8x + 12 y