Problem 1.1TI: Is 4,962 divisible by (a) 2? (b) 3? (c) 5? (d) 6? (e)10? Problem 1.2TI: Is 3,765 divisible by (a) 2? (b) 3? (c) 5? (d) 6? (e) 10? Problem 1.3TI: Find the prime factorization of 80. Problem 1.4TI: Find the prime factorization of 60. Problem 1.5TI: Find the LCM of 9 and 12 using the Prime Factors Method. Problem 1.6TI: Find the LCM of 18 and 24 using the Prime Factors Method. Problem 1.7TI: Simplify: 305+10(32) . Problem 1.8TI: Simplify: 7010+4(62) . Problem 1.9TI: Simplify: 9+53[4(9+3)]. Problem 1.10TI: Simplify: 722[4(5+1)]. Problem 1.11TI: Evaluate when x=3 , (a) x2 (b) 4x (c) 3x2+4x+1 . Problem 1.12TI: Evaluate when x=6 , (a) x3 (b) 2x (c) 6x24x7 . Problem 1.13TI: Simplify: 3x2+7x+9+7x2+9x+8 . Problem 1.14TI: Simplify: 4y2+5y+2+8y2+4y+5 . Problem 1.15TI: Translate the English phrase into an algebraic expression: (a) the difference of 14x2and 13 (b) the... Problem 1.16TI: Translate the English phrase into an algebraic expression: (a) the sum of 17y2and 19 (b) the product... Problem 1.17TI: Translate the English phrase into an algebraic expression: (a) four times the sum of p and q(b) the... Problem 1.18TI: Translate the English phrase into an algebraic expression: (a) the difference of two times x and 8... Problem 1.19TI: The length of a rectangle is 7 less than the width. Let w represent the width of the rectangle.... Problem 1.20TI: The width of a rectangle is 6 less than the length. Let I represent the length of the rectangle.... Problem 1.21TI: Geoffrey has dimes and quarters in his pocket. The number of dimes is eight less than four times the... Problem 1.22TI: Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the... Problem 1E: In the following exercises, use the divisibility tests to determine whether each number is divisible... Problem 2E: In the following exercises, use the divisibility tests to determine whether each number is divisible... Problem 3E: In the following exercises, use the divisibility tests to determine whether each number is divisible... Problem 4E: In the following exercises, use the divisibility tests to determine whether each number is divisible... Problem 5E: In the following exercises, use the divisibility tests to determine whether each number is divisible... Problem 6E: In the following exercises, use the divisibility tests to determine whether each number is divisible... Problem 7E: In the following exercises, find the prime factorization. 7. 86 Problem 8E: In the following exercises, find the prime factorization. 8. 78 Problem 9E: In the following exercises, find the prime factorization. 9. 455 Problem 10E: In the following exercises, find the prime factorization. 10. 400 Problem 11E: In the following exercises, find the prime factorization. 11. 432 Problem 12E: In the following exercises, find the prime factorization. 12. 627 Problem 13E: In the following exercises, find the least common multiple of each pair of numbers using the prime... Problem 14E: In the following exercises, find the least common multiple of each pair of numbers using the prime... Problem 15E: In the following exercises, find the least common multiple of each pair of numbers using the prime... Problem 16E: In the following exercises, find the least common multiple of each pair of numbers using the prime... Problem 17E: In the following exercises, find the least common multiple of each pair of numbers using the prime... Problem 18E: In the following exercises, find the least common multiple of each pair of numbers using the prime... Problem 19E: In the following exercises, simplify each expression. 19. 2312(95) Problem 20E: In the following exercises, simplify each expression. 20. 3218(115) Problem 21E: In the following exercises, simplify each expression. 21. 2+8(6+1) Problem 22E: In the following exercises, simplify each expression. 22. 4+6(3+6) Problem 23E: In the following exercises, simplify each expression. 23. 204+6(51) Problem 24E: In the following exercises, simplify each expression. 24. 333+4(72) Problem 25E: In the following exercises, simplify each expression. 25. 3(1+96)42 Problem 26E: In the following exercises, simplify each expression. 26. 5(2+84)72 Problem 27E: In the following exercises, simplify each expression. 27. 2[1+3(102)] Problem 28E: In the following exercises, simplify each expression. 28. 5[2+4(32)] Problem 29E: In the following exercises, simplify each expression. 29. 8+2[72(53)]32 Problem 30E: In the following exercises, simplify each expression. 30. 10+3[62(42)]24 Problem 31E: In the following exercises, evaluate the following expressions. 31. When x=2 , (a) x6 (b) 4x (c)... Problem 32E: In the following exercises, evaluate the following expressions. 32. When x=3 , (a) x5 (b) 5x (c)... Problem 33E: In the following exercises, evaluate the following expressions. 33. When x=4,y=1 x2+3xy7y2 Problem 34E: In the following exercises, evaluate the following expressions. 34. When x=3,y=2 6x2+3xy9y2 Problem 35E: In the following exercises, evaluate the following expressions. 35. When x=10,y=7 (xy)2 Problem 36E: In the following exercises, evaluate the following expressions. 36. When a=3,b=8 a2+b2 Problem 37E: In the following exercises, simplify the following expressions by combining like terms. 37.... Problem 38E: In the following exercises, simplify the following expressions by combining like terms. 38. 8y+5+2y4 Problem 39E: In the following exercises, simplify the following expressions by combining like terms. 39.... Problem 40E: In the following exercises, simplify the following expressions by combining like terms. 40.... Problem 41E: In the following exercises, simplify the following expressions by combining like terms. 41.... Problem 42E: In the following exercises, simplify the following expressions by combining like terms. 42.... Problem 43E: In the following exercises, translate the phrases into algebraic expressions. 43. (a)the difference... Problem 44E: In the following exercises, translate the phrases into algebraic expressions. 44. (a)the difference... Problem 45E: In the following exercises, translate the phrases into algebraic expressions. 45. (a)the sum of... Problem 46E: In the following exercises, translate the phrases into algebraic expressions. 46. (a)the sum of 3x2y... Problem 47E: In the following exercises, translate the phrases into algebraic expressions. 47. (a)eight times the... Problem 48E: In the following exercises, translate the phrases into algebraic expressions. 48. (a)seven times the... Problem 49E: In the following exercises, translate the phrases into algebraic expressions. 49. (a)five times the... Problem 50E: In the following exercises, translate the phrases into algebraic expressions. 50. (a)eleven times... Problem 51E: In the following exercises, translate the phrases into algebraic expressions. 51. Eric has rock and... Problem 52E: In the following exercises, translate the phrases into algebraic expressions. 52. The number of... Problem 53E: In the following exercises, translate the phrases into algebraic expressions. 53. Greg has nickels... Problem 54E: In the following exercises, translate the phrases into algebraic expressions. 54. Jeannette has $5... Problem 55E: Explain in your own words how to find the prime factorization of a composite number. Problem 56E: Why is it important to use the order of operations to simplify an expression? Problem 57E: Explain how you identify the like terms in the expression 8a2+4a+9a21 . Problem 58E: Explain the difference between the phrases “4 times the sum of x and y” and “the sum of 4 times x... format_list_bulleted