NAME DATE PERIOD Final Exam Practice Problems Write the letter for the correct answer in the blank at the right of each question. 1. Find the perimeter of a rectangle with length 8 inches and width 9 inches. A 17 inches B 34 inches 36 inches D 72 inches 1. 2. Find the area of a triangle with base 10 meters and height 14 meters. A 140 m 2 B 70 m 2 48 m 2 D 24 m 2 2. 3. The perimeter of a triangle is 36 feet. One side is 12 feet and one side is 1 feet. Find the third side. A 63 feet B 27 feet 9 feet D 3 feet 3. 4. The area of a rectangle is 48 square yards. Its width is 4 yards. Find the length. A 6 yards B 12 yards 24 yards D 44 yards 4. For questions 8, solve each equation.. 2m + 2 = 4m A 2 B 1 0 D 2. 6. 8 + 3x = 29 + 2x A 21 B 4.2 0 D 7.2 6. 7. 2(r + ) = 22r A 2 8. 2(9s + 3) = 6(3s + 1) B 1 2 identity D no solution 7. A 0 B 6 identity D no solution 8. 9. Twice a number is 4 more than the number. hoose the equation to find the unknown number, then solve. A 2x + 4 = x; x = 4 2x = x + 4; x = 4 B 2x + x = 4; x = 4 3 D 2x = x + 4; x = 2 9. For questions 10 and 11, write an inequality for each sentence. 10. A number minus 14 is more than 3. A 14 n 3 B n 14 3 n 14 < 3 D n 14 > 3 10. 11. Six times a number is at most 91. A 6k 91 B 6k 91 6k < 91 D 6k > 91 11.
12. If h = 2, which word describes the inequality 6h + 9 < 20? A open B true false D positive 12. 13. Which inequality is graphed at the right? 2 1 0 1 2 3 4 6 A x 3 B x < 3 x 3 D x > 3 13. For questions 14 1, solve each inequality. 14. x + 4 < 12 A x < 8 B x < 16 x > 8 D x > 16 14. 1. y 3 > 16 A y < 13 B y < 19 y > 19 D y > 13 1. For questions 16 and 17, write an inequality for each sentence. 16. The cost of a tank of gas at $1.7 per gallon was more than $30. A 1.7g < 30 B 1.7g 30 1.7g > 30 D 1.7g 30 16. 17. Jon s allowance plus the $18 he earned calf-sitting was still less than $30. A a + 18 > 30 B a + 18 30 a + 18 < 30 D a + 18 30 17. 18. Express the ratio 6 roosters out of 20 chickens as a fraction in simplest form. A 10 3 B 3 1 3 D 3 10 19. Express the ratio 2 quarts to 8 quarts as a fraction in simplest form. A 1 8 B 1 4 1 2 18. D 1 19. 20. Which of the following is the same rate as 120 miles in 3 hours? A 60 mi per hour B 120 mi per hour 4 mi per hour D 40 mi per hour 20. 21. Which of the following is equivalent to $ 1. 4 f o r gallons of milk? A $ 1. for 1 gal B $6.08 for 2 gal $9.27 for 3 gal D $17.71 for 9 gal 21. 22. The cost of 3 cheese pizzas is $22.0. If the cost is proportional to the number of pizzas ordered, which of the following is not an equivalent rate? A 7 pizzas for $1.0 B 2 pizzas for $1 pizzas for $37.0 D 4 pizzas for $30 22. 23. Which sets of numbers are proportional? A Bikes 1 2 3 4 Wheels 2 4 6 8 Students 2 3 4 Siblings 4 6 8 B Pets 1 2 3 4 D Students 3 6 9 12 23. Feet 4 8 10 14 Books 6 12 18 12
24. Solve the proportion 2 3 = x 6 A 2 B 3 4 D 9 24. 2. An apple crisp recipe calls for 20 pounds of apples for 30 servings. How many pounds of apples are needed for 60 servings? A 80 B 60 40 D 1 2. 26. An athletic supply store is selling 4 cans of tennis balls for $. Which equation could be used to find the total cost c if a customer wanted to buy 6 cans of tennis balls? A c = 4 B c = 1.2 6 c = 24 D c = 20 6 26. 27. Write 60% as a fraction in simplest form. A 6 B 3 3 2 D 3 0 27. 28. Write 4 as a percent. A 80% B 8% 4% D 1% 28. 29. Write 6% as a decimal. A.6 B 0.6 0.06 D 0.006 29. 30. Write 0.24 as a percent. A 0.024% B 0.24% 2 % D 24% 30. 31. Write 17 1 % as a decimal. 2 A 17.0 B 17. 1.7 D 0.17 31. 32. Write 4.07 as a percent. A 407% B 40.7% 0.407% D 0.0407% 32. 33. Which is the greatest number in the set {0.8, 17 20, 7%, 3 }? A 0.8 B 17 20 7% D 3 33. 34. If Hayden scores 6 goals out of 1 attempts, what percent of his attempts result in a score? A 4% B 6% 40% D 60% 34. 3. Determine which relation is not a function. A {(3, 2), (2, 3), ( 1, 4), ( 6, )} {( 3., 2), ( 3, 3), ( 4, 4), (4, 4)} B {(0, 4), (2, 2), ( 2, 2), (0, 8)} D {(1, 1), (0., 2), (, 4), ( 1, 1)} 3.
36. Which of the following values of d makes the relation {(, 0), (3, 1), (1, 1), (d, 4)} a function? A 1 B 3 D none of these 36. 37. The relation {(, 0), (1, 9), (2, 4)} is not a function when which ordered pair is added to the set? A (3, 0) B (9, 1) ( 6, 8) D (2, 7) 37. 38. Which of the following describes the sequence 4, 9, 14, 19,? A t = n + B t = n t = n 1 39. Find the 10th term of the sequence 1, 3,, 7,. D t = 4n + 1 38. A 21 B 19 17 D 12 39. 40. Which set of ordered pairs can be used to graph y = x 2? A ( 1, 3), (1, 1), (3, 1) B ( 1, 3), (1, 1), (3, 1) ( 3, 1), (1, 1), (1, 3) D ( 1, 3), (1, 1), ( 3, 1) 40. 41. Which of the following is not a solution of the equation y = 3x 4? A (2, 2) B (4, 8) (0, 4) D ( 1, 1) 41. 42. Find the slope of the line that passes through the points A(0, 2) and B(, 0). A 2 B 2 2 D 42. 2 43. The slope of a horizontal line is?. A undefined B 0 positive D negative 43. 44. State the slope and the y-intercept for the graph of y = 4x + 7. A 4; none B 7; 4 4; 1 D 4; 7 44. 4. Find the slope and the y-intercept for the graph of y = 4. A 4; none B 1; 4 0; 4 D 4; 0 4. 46. The table shows the temperature of a potato placed in a 300 oven. What is the rate of change of temperature of the potato in the first 20 minutes? Time (min) 0 10 20 30 40 Temperature ( F) 70 9 130 200 270 A 130 B 13 7 3 per minute D per minute 46. 47. What is the equation in the slope-intercept form of a line with slope of 3 and y-intercept of 1? A y = 3x 1 B y = 3x 1 y = 3x + 1 D y = 3x 47. 48. What is the equation in slope-intercept form of a line with slope of 4 and y-intercept of 7? A y = 7x 4 B y = 4x 7 y = 4x D y = 7x 48.
49. Write ( y)( y)( y)( y)( y) using exponents. y A + y B y D y 49. 0. Evaluate 3m 2 if m =. A 21 B 30 7 D 22 0. 1. Write the prime factorization of 36. A 2 2 9 B 2 2 2 2 6 6 D 2 2 3 3 1. 2. Factor 98 completely. A 2 7 B 2 7 2 7 2 2 D 7 2 2 2 2. 3. Factor 20x 2 y completely. A 2 2 x x y B 2 2x 2 y D 4 x x y 2 10 x x y 3. 4. Factor 72 completely. A 3 2 2 2 B 3 3 2 3 3 2 3 D 3 2 2 3 4.. Factor 3x 2 y completely. A 7 x x y B 3 1 x x y D 7 x y y 7 x 2 y. 6. 4 4 2 A 4 2 B 16 7 4 10 D 4 7 6. 7. t3 t A 1 3 B t 3 t 4 D t 2 7. 8. m 4 m A 4 m B m m 4 D 2m 4 8. 9. 10 3 10 6 A 10 36 B 100 3 10 18 D 10 9 9. 60. (3y 2 )(6y 3 ) 61. x6 x A 18y B 9y 4 18y 6 D 9y 60. A 1 6 B 6 x 7 D x 61.