Chapter 1 Study Guide Section 1.1: Expressions and Variables Evaluate the expression when p = 12 and q = 1.5. 60 2. 145 p 2 1. p 3. p q Write a variable expression to represent the phrase. 4. The difference of 7 and a number. 5. 8 more than a number. 6. The quotient of 12 times a number and 5 Section 1.2: Powers and Exponents Evaluate the power. 7. 10 4 8. 35 Section 1.3: Order of Operations Evaluate the expression. 54 10. 20 5 7 3 2 11. 3 9. (0.3) 3 12. 28 (5 1) 3 Section 1.4: Comparing and Ordering Integers Write the integers in order from least to greatest. 13. 2, -4, -3, 6, 5, -6 14. -8, -12, 4, -7, 1 State the absolute value and the opposite of the number. 15. -34 16. 4 Section 1.5: Adding Integers Find the sum. 17. 12 (18) 18. 8 (7) 19. 11 (18) 20. 61 (44) 22. 22 (7) 21. 21 9 23. At 6:00 A.M., the temperature was 5 F. By 2:00 P.M., the temperature had risen 22 F. What was the temperature at 2:00 P.M.? Section 1.6: Subtracting Integers Find the difference. 24. 0 8 25. 2 (2) 26. 15 (17) 27. 46 29 29. 16 9 28. 31 40 30. Find the difference of an elevation of 30 feet below sea level and an elevation of 118 feet above sea level. Section 1.7: Multiplying and Dividing Integers Find the product or quotient. 31. 9(12) 32. 52 ( 4) 33. 17(3) 35. 80 16 36. 20(12) 37. 48 16 34. 90 (15) 38. 33(3) Section 1.8: The Coordinate Plane Plot the point in a coordinate plane. Describe the location of the point. 39. A(-2, 5) 40. B(0, 4) 41. C(4, 3) 42. D(-3, -1)