2) {p p is an irrational number that is also rational} 2) 3) {a a is a natural number greater than 6} 3)

Transcription

1 Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write the set by listing its elements. 1) {a a is an even integer greater than 4} 1) 2) {p p is an irrational number that is also rational} 2) 3) {a a is a natural number greater than 6} 3) Write the set using setbuilder notation. 4) {2, 4, 6, 8, 10} 4) 5) {..., 3, 2, 1, 0, 1, 2, 3,... } 5) 6) { 9, 10, 11, 12, 13} 6) List all the elements of set B that are of the indicated type. 7) 8) B = { 2,, 14, 0,, } Whole numbers B = {, 15,, 11, 0,, π,, 0.66} Irrational numbers 7) 8) Mark the statement as true or false. 9) Some rational numbers are integers. 9) 10) Some real numbers are integers. 10) 11) Division of zero by a nonzero number is undefined. 11) Give the additive inverse of the number. 12) 12) 13) 0 13) 14) ( 30) 14) Find the value of the expression. 15) 15) 16) 16) 17) + 17)

2 The NSC (Not So Consistent) Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). 18) The loss was greatest in 18) 19) The absolute value of the profit or loss was smallest in 19) Rewrite the statement so the inequality symbol points in the opposite direction. 20) ) 21) 41 > 42 21) 22) 10 < x 22) Use inequality symbols to rewrite the statement. 23) 1 is greater than y. 23) 24) 2 is greater than or equal to 2. 24) 25) x is between 7 and 20, excluding 7 and including ) 26) x is between 5 and 12, including 5 and ) Determine whether the inequality is true or false. 27) ) 28) ) 29) 29) Write the set using interval notation. 30) {x 7 < x < 5} 30) 31) {x 7 < x 5} 31) 32) {x x 9} 32)

3 Graph the inequality on a number line. 33) { x x < 1 } 33) 34) { x 3 x 6 } 34) 35) { x 4 x < 1 } 35) Provide an appropriate response. 36) A student claims that { 8, 9, 10} and the set { 10, 9, 8} are the same set. Explain why the student is correct or why the student is incorrect. 36) Add or subtract as indicated. 37) ) 38) ) 39) ) Perform the indicated operation. 40) + 40) 41) 41) 42) 0.91 ( 0.72) 42) 43) ( 0.97) 43) Add or subtract as indicated. 44) ) 45) ) 46) ) Find the distance between the given points. 47) B and G 47) 48) A and F 48)

4 Perform the indicated operation. 49) 8( 8) 49) 50) 50) 51) 51) 52) 52) 53) 10 54) 55) (40) 53) 54) 55) 56) 56) Perform the indicated operation. Round to the nearest hundredth, if necessary. 57) 57) 58) ( 0.8)( 9.74) 58) 59) ( 6.6)( 6.1)( 9.4) 59) Solve the problem. 60) Nikki is fishing from a bank 27 feet above water level. In this location, the fish tend to feed at 41 feet below the surface. How long must Nikki's fish line be to reach the fish? 61) Company A showed a profit of $88,500 last year, while Company B had a loss of $81,700. Find the difference between these amounts. 62) After one round in a card game, your score was 10 points. After the second round, your total score was 26 points. How many points did you gain in the second game? 63) In a certain location, the highest temperature recorded was 104 F. The lowest temperature recorded was 136 degrees less than the highest. What was the lowest temperature? 60) 61) 62) 63)

5 Decide whether the statement is always true, sometimes true, or never true. 64) The sum of two negative numbers is negative. 64) 65) The sum of a negative number and a positive number is negative. 65) 66) The product of two numbers with different signs is positive. 66) 67) The difference between a positive number and a negative number 67) Evaluate the expression. 68) 68) 69) 69) 70) 70) Write the expression by using exponents. 71) ) 72) 72) 73) (7)(7)(7)(7)(7) 73) Find the square root. If it is not a real number, say so. 74) 74) 75) 75) 76) 76) Use the order of operations to simplify the expression. 77) 16 + ( 6 10) 22 77) 78) ( 4)( 2)4 ( 3)( 3) 78) 79) 9 + ( 20 22) 11 79) 80) 15 + ( ) 5 80) 81) 81) 82) 82)

6 83) 83) Evaluate the expression for a = 5, b = 16 and c = 7. 84) + 84) 85) 2ab + 4c 85) 86) 86) Solve the problem. 87) An approximation of the amount in billions of dollars that Americans have spent on their pets from 1993 to 2006 can be obtained by substituting a given year for x in the expression 1.751x Approximate the amount spent in Round the answer to the nearest tenth. 88) An approximation of the amount in billions of dollars that Americans have spent on their pets from 2002 to 2006 can be obtained by substituting a given year for x in the expression 1.714x How has the amount Americans have spent on their pets changed from 2002 to 2006? 87) 88) Decide whether the statement is true or false. 89) ( 7)5 is a negative number. 89) 90) The product of 3 positive factors and 3 negative factors is positive. 90) 91) In the exponential 87, 8 is the base. 91) 92) has the same sign as a for all nonzero real numbers a. 92) Simplify the expression. 93) 5( 3z + m) 93) 94) ( 8m) ( 2m) 94) 95) 12s 6t 95) 96) 8a 5a a 12 96) 97) 6( 5m + 3) + 6( 3m + 4) 97) 98) 4p 6( 5p + 4) + 6( 2p + 3) + 6( 5p + 2) 98)

7 Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. 99) 9 + x; commutative 99) 100) ( 8x + 2y) + 8z; associative 100) 101) 0 ; multiplication property of 0 101) Use the distributive property to calculate the value mentally. 102) ) 103) 8.25( 27) ( 73) 103) Provide an appropriate response. 104) Use an example to explain the difference between the associative and commutative properties of multiplication. 105) Which property justifies the statement? 8(x + 7) = 8x ) 105)

8 1) { 6, 8, 10,...} 2) 3) { 7, 8, 9,...} 4) {x x is an even natural number less than or equal to 10} 5) {x x is an integer} 6) {x x is an integer between 8 and 14} 7) 2, 0,, 8), π 9) True 10) True 11) False 12) 13) 0 14) 30 15) 20 16) 40 17) 15 18) January 19) December 20) ) 42 < 41 22) x > 10 23) 1 > y 24) ) 7 < x 20 26) 5 x 12 27) False 28) False 29) True 30) ( 7, 5) 31) ( 7, 5] 32) (, 9] 33) 34) 35) 36) The student is correct because the sets contain exactly the same elements. The order the elements appear is not important. 37) 15 38) 22 39) 17 40)

9 41) 42) ) ) 32 45) 28 46) 7 47) 6 48) 49) 64 50) Undefined 51) 19 52) 0 53) 54) 55) 56) 57) 4 58) ) ) 68 feet 61) $170,200 62) 36 points 63) 32 F 64) Always true 65) Sometimes true 66) Never true 67) Never true 68) 69) 70) 8 71) 36 72) 73) 74) 18 75) 76) 77) 54

10 78) 73 79) ) 7 81) 82) 83) 7 84) 6 85) ) 87) $ billion 88) It has largely increased. 89) True 90) False 91) False 92) True 93) 15z 5m 94) 10m 95) Cannot be simplified 96) 2a 12 97) 12m ) 16p ) x ) 8x + ( 2y + 8z) 101) 0 102) ) ) Answers will vary. 105) Distributive property