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Class: _____ No: _____ Name: ________________________________ Date: 8 June 2012 M1 Test: Chapter 1: Real Number System Section 1.1-1.3 Directions: You will have 40 minutes to complete this test. Remember to SHOW ALL WORK and LABEL ALL UNITS!! Ask me if you need more paper to show your work. No credit without showing work. Evaluate the expression (18 pts) 1. 3. 5. 26 5 3 8 2 2. 7 43 6 3 8 (7 8) 3 2 4. 6 3 18 3 3 2 3 (12 5) 23 9 6. 24 (2 4) 3 Evaluate the expression (6 pts) 7. 4 30 ( 5) 6 2 8. 9. Determine the types for the following numbers : 4.6, 22 6 5 1251 , 13, , , 49 ,0, | 6 |, ,3.5,3.14, 11 7 3 2 9 (a) natural numbers: (b) integers: (c) rational numbers: (d) irrational numbers: 1 (17 12) (30) (5) 1 10 10. Give three examples of numbers that satisfy the given condition.(6 points) A real number that is negative: A rational number that is not an integer An integer that is not a whole number: 11. For problems 9-12 Write the following phrase as a variable equation. Let x represent the variable. (15 points) (Bonus) Solve for x. (3 pts) The product of a number and 22 is 88. Twice a number decreased by 18 is 42. Three less than the product of a number and 22 is 88. The quotient of a number and 22 is 44. The absolute value of the sum of -54 and 26 12. Evaluate the expression ( 6 pts) |-8| + (8)(-6) | (6)(-3) | - (4 – 8) 13. Place the correct symbol (<, > =) between the real numbers. (6 points) 7 2 | -3.5 | 3 4 -| 0.75 | 1 3 0.333| Class: _____ No: _____ Name: ________________________________ Date: 8 June 2012 14. Determine whether the number is prime or composite. If it is composite, write it prime factorization. (9 points) 23 111 7056 15. Find the perimeter AND area. Be sure to include units 8 pts) SHOW YOUR WORK. Perimeter:______________________________ Area: ________________________________ 3 16. Solve the following word problems and show all your work (16 points) A pile of wood is 7 feet long, 3 feet wide, and 9 feet high. Find the volume of the pile of wood. At the beginning of the month, your account balance was $758. During the month, you withdrew $550, deposited $186, and paid a fee of $13. What was your balance at the end of the month? A 90 meter rope is cut into six pieces of equal length. What is the length of each piece? A train travels a distance of 195 km between two cities in 3 hours. What is the average speed of the train ?