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Algebra Ready Benchmark Test Form C Practice Test Show ALL work or you will receive no credit. Solve all equations in steps showing ALL steps. Circle your answers. 1. 3 1 1 12 2 3 2. When do you need a common denominator? 3. 11 3 12 8 4. 2 3 3 5. Shaquita rides her bike at 15 miles per hour. If 1 mile equals 5,280 feet, how many feet per minute can she ride? 6. Write an example of the additive inverse property of addition. 7. Ricardo wanted to buy a new computer for $700. He found one online at a 33% discount. How much did he have to pay for the computer? 8. Alyssa received $2000 for babysitting all summer. She put it in the credit union at 4% interest for a year. How much money did she make in interest, and how much money does she have in the bank at the end of the year? 9. Vincent sold $3000 worth of phones and accessories today at Ontario Mills. If he receives a 15% commission, how much money does he make? 10. 4 3 48 11. Make a math sentence out of the following: twice the difference of a number and 12 is 11. 12. Simplify 13. | 234 | 2 14. Write the number 54,378,21 in scientific notation. 15. Why can’t an absolute value be negative? 16. a. What is the mean of the set of numbers 2, 4, 8, 12, 20? b. What is the median of the set of numbers 2, 4, 8, 12, 20? 17. 3(7 12)2 Give an example of the distributive property of multiplication over addition. 18. Chunky Cheezy software company recorded sales for the first 16 weeks of the year. Make a line graph showing the sales figures using the table below. Week # 2 4 6 8 10 12 14 16 Sales (in millions) 3 3.5 2 3 5 5.5 6 7 14 12 Dollars 10 (in millions) 8 6 4 2 2 4 6 8 10 12 14 Week Number 19. Mr. Aday worksfor 14 hours out of each 24 hours in the day. What percentage of the day does he work, and what percentage does he not work? 20. Write an example of the associative property of multiplication. 21. Evaluate 22. Expand c3 c 2 c if c = 2. 5c 2 k 3 x 11 3 . 23. What is the value of x if Show all work in steps going down the paper. 24. Bettikina watched her neighbor’s cats while they were on vacation. She earned $15 a day and made $105. How many days did she pet sit? 25. Find the area and perimeter of the figure below. 6 3 1 5 4 14 26. A rectangular garden pictured below has a 3 foot wide sidewalk going all around it. What is the area of the garden, and what is the area of the sidewalk? 16’ 4’ 27. The rectangle below is cut in half. What is the area of half of the rectangle? 7 12 3’ Sidewalk 3x 16 11 28. Solve Show All steps going down the page. 29. Find the solution set of the inequality 30. Find the value of 31. Bacteria are increasing at the same rate each hour. What is that rate? Use the table to record your findings. 3x 13 11. Show ALL steps going down the page. (7 32 4)2 . 16 Hours # Bacteria 1 1 14 Number of Bacteria Present 12 10 8 6 4 2 2 4 6 8 10 12 14 Hours 32. Mutt drove his Mustang for 3 hours at 65 miles per hour. Jeff drove his Camaro for 4 hours at 50 miles per hour. How far did they both drive, and what was the average speed for both cars? 33. Jabari wants to pay $2800 for professional wrestling lessons. If his summer job pays $8.00 an hour, how many hours will he have to work to pay for the lessons? 34. Ashley runs the 1st mile in 6 minutes, then can only run the rest of the miles in 8 minutes each. How long would it take her to run 10 miles? 35. Jack can dye 4 eggs in 2 hours, and Jill can dye 6 eggs in 4 hours. How many eggs can they both dye in 8 hours? 36. What is the coefficient of 37. Write a math sentence showing that Buela is 7 years younger than Leland. 38. Change the decimal .8 into a fraction. 39. If it takes 2 gallons of soda to serve 6 students, how many gallons of soda would be needed for 9 students? 40. A $70 cell phone is marked down to $40. What is the percent of savings? 41. Change 2 to a decimal. 3 4 x2 9 ? 42. Find the length of the hypotenuse, or longest side, of the triangle using the Pythagorean Theorem. 8 6 ? 43. Find the slope and y-intercept of the line below. y 4 2 x 0 -6 -4 -2 0 2 4 6 -2 -4 44. Find the length of the rectangle below. 10 6 ? 45. Find the minimum, maximum, median, mode, and mean of the following set of numbers. {2, 5, 6, 6, 8, 10, 12] Minimum _____ Maximum _____ Median ______ Mode ______ Mean ______ 46. What is the median price of the swimsuits listed in the table below? $20 $32 $11 $15 $16 $18 $30 m6 m 2 3 9 47. Simplify 48. Simplify 49. On a map, the distance from Colton to Palm Springs is 7 inches. If the map has a scale of 1 inch = 10 miles, how far away is Palm Springs? 50. In the quadratic equation 51. Find the prime factors of 144. 52. What is the mean of the set of data {3, 6, 9, 12, 4, 2}? 24 3 32 23 y 3x 2 2 x 1 , does the parabola open up or down? Why? 53. In the cafeteria, you can order several different combinations of food. You have a choice of 3 main courses, 2 side items, and 3 desserts. How many possible combinations of meals are there? Main Course Side Items Dessert Pizza Salad Ice Cream Corn Dog French Fries Fruit Vegetable Plate Granola Bar 54.. On the circle below, make a circle graph showing that 25% of the time is spent being active and 75% of the time is spent sitting down. 55. IF Maritza rolls one six-sided die, what is the probability that she rolls an odd number? 56. Make a line graph below showing that the cost for each person for admission to Scandia is $10. 140 120 100 Price 80 60 40 20 2 4 6 8 Number of People 10 12 14 57. In the grid below, where would the other 2 points be to make a 20 square unit rectangle? y 4 2 x 0 -6 -4 -2 0 -2 -4 2 4 6