1. Evaluate. 2. Classify each number below as an integer or not. Page 1 of 16

Transcription

1 1. Evaluate. 2. Classify each number below as an integer or not. Page 1 of 16

2 3. Find the perimeter of the square. Be sure to write the correct unit in your answer. 4. Plot,, and on the number line. 5. Evaluate. 6. What is of? 7. Divide. Page 2 of 16

3 8. Find the area of this parallelogram. Be sure to include the correct unit in your answer. 9. Consider the following properties of real numbers. 1. Commutative Property of Addition 6. Commutative Property of Multiplication 2. Associative Property of Addition 7. Associative Property of Multiplication 3. Additive Identity Property 8. Multiplicative Identity Property 4. Additive Inverse Property 9. Multiplicative Inverse Property 5. Distributive Property 10. Multiplication Property of Zero For each equation below, indicate the property that justifies the equation. Equation Property 10. Multiply. Page 3 of 16

4 11. What is of? 12. Divide. Write your answer as a fraction or a mixed number in simplest form. 13. Find the area of this trapezoid. Be sure to include the correct unit in your answer. 14. Rewrite as a mixed number. 15. Write as a decimal. 16. Ms. Green has a class of students. She can spend on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of. After buying the calculators, how much does she have left to spend on each student? Page 4 of 16

5 17. Plot the numbers and on the number line below. 18. (a) Write (b) Write as a decimal. as a percentage. 19. Use the distributive property to remove the parentheses. 20. Divide. 21. Write as a fraction in simplest form. Page 5 of 16

6 22. The diameter of a construction pipe is. If the pipe is long, what is its volume? (Use the value for, and round your answer to the nearest cubic foot. Be sure to include the correct unit in your answer.) 23. Divide. 24. (a) An angle measures. What is the measure of its complement? (b) An angle measures. What is the measure of its supplement? 25. Add. 26. A company bought New Year's greeting cards to send to its valued customers. Sixty-five of the cards they sent cost each. Thirty of the cards cost each. The remaining cards cost each. What was the total amount spent on these cards? Page 6 of 16

7 27. Evaluate. 28. Put a check by all the prime numbers. 29. Use,, or to compare the following numbers. 30. Evaluate the following. Page 7 of 16

8 31. Evaluate the following. 32. Add. Write your answer as a fraction in simplest form. 33. Evaluate the following expression. 34. Find the area and the circumference of a circle with diameter. Use the value for, and do not round your answers. Be sure to include the correct units in your answers. 35. Subtract. Page 8 of 16

9 36. Evaluate the expression when. 37. Multiply. Write your answer as a mixed number in simplest form. 38. Round to the nearest tenth. 39. Consider the following properties of addition. 1. Commutative Property 2. Associative Property 3. Additive Identity Property 4. Additive Inverse Property For each equation below, indicate the property that justifies the equation. Equation Property 40. Find the least common multiple (LCM) of and. Page 9 of 16

10 41. Evaluate. 42. Find the volume of the rectangular prism. 43. Multiply. 44. Chang has a rope that is meters long. He cuts away a piece that is meters long. How long is the remaining piece of rope? 45. Use the distributive property to remove the parentheses. Page 10 of 16

11 46. Subtract. Write your answer in simplest form. 47. Evaluate. 48. Subtract. Write your answer as a mixed number in simplest form. 49. Multiply. 50. Write as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats. 51. Yolanda ran three times last week. Here are the distances she ran (in kilometers).,, What is the total distance Yolanda ran on these three days? Page 11 of 16

12 52. Find the digits in the hundreds place, in the tenths place, and in the ten thousandths place for the following number. hundreds: tenths: ten thousandths: 53. Subtract. 54. Fill in the blank to make the two fractions equivalent. 55. Subtract. Write your answer as a mixed number in simplest form. Page 12 of 16

13 56. A shop repairs types of electronic devices. The number of repairs of each device last week is shown in the bar graph below. Use this bar graph to answer the questions. (a) Which device was repaired the least often? How many repairs were made on that device? (b) How many more repairs were made on radios than computers? (c) How many devices had more than repairs? 57. Divide. Write your answer in simplest form. 58. Subtract. Page 13 of 16

14 59. Evaluate the following. 60. Write all the factors of. Use commas to separate them. Page 14 of 16

15 61. Name the property used to go from step to step each time that why? occurs. (distributive property; commutative property of addition or multiplication; associative property of addition or multiplication) 5 + 4(x + 3) = 5 + (4x + 12) (why?) = 5 + (12 + 4x) = (5 + 12) + 4x (why?) = (17) + 4x = x = 4x + 17 (why?) For Problems 62 and 63, write the English phrase as an algebraic expression or equation. Let the variable x represent the number. 62. ten less than seven times a number 63. the quotient of 20 and a number is Determine whether 3 is a solution of the equation. 7 3x = 6x 20 Perform the indicated operation. Reduce answers to lowest terms if possible Page 15 of 16

16 67. Evaluate 3 2 Use the order of operations to simplify (3 5) (3 4) 71. For the number 5 3, a) What is its additive inverse? b) What is its multiplicative inverse? Page 16 of 16