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Name ___________________________________ Date ____________ Section ______ 1st Semester Cumulative Practice Test Select the best answer. 1. Which of the following does not describe x + 2? A the sum of x and 2 B two more than x C x more than 2 D twice as much as x 2. Evaluate x ÷ y for x = 21 and y = -3 A -7 C 7 1 B 7 1 D 7 C 21 B - 21 D -3 2 4 ¸3 5 8 A 15 8 B 15 C - 4. Divide D 5 6 5 6 A 25 C 10 B - 25 D -10 C B x-7 D (7 - x) 2 7- x 10. Which expression CANNOT be simplified further? A 8x + 9x 11. A gym charges $50 to join and $35 per month. Which rule represents the total charge for x months of membership? A y = (50 + 35)x B y = 50(35)x C y = 50x + 35 D y = 35x + 50 Select the best answer. Use this coordinate plane for questions 12 and 13. 4 A 50 C 10 B - 50 D -10 7. Ryan purchased a square beach towel that covers 17 square feet. Estimate the length of one side of the towel to the nearest foot. A 8 feet B 4 feet 7 x D 3a 3 - 2a 3 A 3 6. Find - 100 A B x 2 + 7x 2 C 7a + 7b 3. Evaluate c + 9 for c = -12 5. Evaluate -5 2 9. Translate the square root of the difference of 7 and x into an algebraic expression. C 5 feet D 9 feet 8. Simplify 32 - 8 ¸ 4 -1. A 6 C 4 B - 0.75 D 3 3 2 A -4 -3 -2 1 4 -1 -1 -2 1 2 3 4 B -3 -4 12. What are the coordinates of point A? A (3,0) C (-3,0) B (0,3) D (0,-3) 13. In which quadrant does point B lie? A I C III B II D IV Name ___________________________________ Date ____________ Section ______ 1st Semester Cumulative Practice Test 14. Which function was used to generate the ordered pairs graphed below? 19. Hector walked at a rate of 3 mi/hr. What was his speed in feet per minute? 4 3 A 20 ft /min B 29.3 ft /min 2 1 4 -4 -3 -2 -1 -1 Select the best answer. 1 2 3 4 -2 C 264 ft /min D 15,840 ft /min -3 20. A pharmaceutical representative earns an annual salary of $30,000 plus 4% sales commission. What are the total earnings if the annual sales were $50,000. -4 A y= x B y = x +1 A $30,200 C y=x D y = x +1 15. Solve 2 x=3 5 5 6 15 B 2 2 15 6 D 5 A 16. Solve - A -5 C x - 6 = 14 4 B 32 17. Solve B $32,000 C $50,000 D $52,000 C - 80 D 5 7x + 4 = 6 + 3(x - 4) A 20 5 B 2 C -18 7 D 2 18. Solve ab – c = 5 for a. A B C D 5 a= b-c b a= 5+c a = 5(b - c) 5+c a= b 21. Find the percent of change from 200 to 220 to the nearest percent. A 8% increase B 9% increase C 10% increase D 11% increase 22. Which graph represents the solutions of : -x + 4 < -1? A. -1 0 1 2 3 4 5 6 7 8 9 10 11 12 B. -1 0 1 2 3 4 5 6 7 8 9 10 11 12 C. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 D. -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 Name ___________________________________ Date ____________ Section ______ 1st Semester Cumulative Practice Test 23. A volleyball bin can hold 18 balls. There are 7 balls in the bin already. Which inequality can be solved to show all the numbers of balls that the bin can still hold? A. 7 + b ≤ 18 B. 7 + b < 18 C. 18 + b > 7 D. 18 + b ≤ 7 27. Solve 3x + 2 ≥ x + 2 + 2x A. x ≥ -2/3 B. x ≥ 1 C. no solutions D. all real numbers 28. Which of the following is shown on the graph below: 24. Which inequality has the solutions shown below? A. 4x < -4 B. -4x ≥ -4 C. 4x > -4 D. -4x > -4 A. B. C. D. f f f f < 1 AND f ≥ 4 ≥ 1 OR f < 4 > 1 AND f ≤ 4 < 1 OR f ≥ 4 29. Which situation is best represented by the graph shown below? 25. The area of the rectangle shown is more than 64 square inches. Which inequality can be used to find x? 5 in. x+3 in. A. B. C. D. 10 + 2(x + 3) > 64 10 + 2(x + 3) ≥ 64 5(x + 3) > 64 5(x + 3) ≥ 64 26. Mrs. Jones called two companies about getting new uniforms for the softball team. The first company she called charges $64 per uniform. The second company she called charges $180 plus $28 per uniform. For how many uniforms will the cost from the first company be less expensive than the cost from the second company? A. less than 5 B. 5 C. 6 D. more than 6 A. The temperature in the desert Gradually gets hot during the day and cools off quickly at night. B. A pot of water is put on a burner to boil and heats up slowly. C. A hiker jumps into an icy mountain lake and immediately jumps out. D. Ice cream is taken from the freezer and left on the counter by accident. Name ___________________________________ Date ____________ Section ______ 1st Semester Cumulative Practice Test 30. What is the range of the following relation? X 1 2 3 4 A. B. C. D. Y 4 5 6 7 {1, 2, 3, 4, 5, 6, 7} {1, 2, 3, 4} {1, 4} {4, 5, 6, 7} 31. What is the dependent variable in the following situation? A fitness center charges an initiation fee of $50 to join and $25 per month. A. B. C. D. number of members total cost number of months initiation fee 32. Which function is graphed below for a domain of -4, -2, 0, 2, and 6? 33. For which of the following would you expect a positive correlation? A. the amount of gasoline in a car and how far the car has traveled B. the temperature on Tuesdays C. the size of a sundae and the number of calories in it. D. the size of a snowball and how long it has been melting 34. Which relation is not a function? A. B. C. D. (1, 2), (2, 3), (4, 5) (2, 7), (3, 7), (4, 7) (0, 4), (0, 5), (0, 6) (3, 1), (1, 3), (2, 3) 35. Which equation best describes the relationship between x and y. X Y 1 3 2 5 A. y = 2x + 1 B. y = 3x 3 7 4 9 C. y = x + 2 D. y = 3x - 1 36. What is the value of g(x) = x2 – x + 1 when x = –3? A. –5 B. –11 C. 7 D. 13 37. Which function is NOT linear? A. 4x = y B. y = 1 + x2 C. y = 3.5x D. 7 = 2x - y 38. What is the x-intercept of 7x – 3y = 21? A. –3 C. 3 B. –7 D. 7 A. f(x) = -2x B. f(x) = -.5x C. f(x) = .5x D. f(x) = 2x Name ___________________________________ Date ____________ Section ______ 1st Semester Cumulative Practice Test 39. What is the slope of the line graphed below? A. 2 B. 1/2 C. -1/2 D. 4 40. Which function has (2, 4) on its graph? A. y = x2 C. y = 2x + 1 B. y = -2x D. y = 2x2