7.4, 9.42, 55,

Transcription

1 Good Luck to: Period: Date DIRECTIONS: Show all work in the space provided. 1. Which of the following equations is equivalent to: x a. 7x b. 3 x + 18 c. 2.3x d. 2.13x Order the following numbers from least to greatest: 7.4, 9.42, 55, a. 7.4, 9.42, 55, b. 9.42, 55, ,7.4 c. 9.42, 55, 7.4, d. 7.4, 9.42, 55, Describe in complete sentences the order of steps you would use to solve the following expression. 2(5) Curriculum and Instruction Page 1 of 6

2 4. Find, if A = {1,2,3,4,5} and B = {4,5,6,7,8}. Union 5. Find, if P = {1,2,3,4} and Q = {2,4,5}. Intersection Use the following for questions number 6 11 Let S = {1,2,3,4,5,6} and T = {2,4,6,9,11,12} 6. Is the statement 5 S, True or False? a. True b. False 7. Is the statement 5 T, True or False? a. True b. False 8. Find S T a. 2, 4, 6 b. 1,2,3,4,5,6,9,11,12 c. 1, 3, 5, 9, 11, 12 d. 1, 2, 3, 4, 5, 9, 11, 12 Curriculum and Instruction Page 2 of 6

3 9. Find S T a. 2, 4, 6 b. 1,2,3,4,5,6,9,11,12 c. 1, 3, 5, 9, 11, 12 d. 1,2,3,4,5,9,11, Find ( S T )' a. 2, 4, 6 b. 1,2,3,4,5,6,9,11,12 c. 1, 3, 5, 9, 11, 12 d. {1, 2, 3, 4, 5, 9, 11, 12} 11. Find (~ S ~ T) a. 2, 4, 6 b. 1,2,3,4,5,6,9,11,12 c. 1, 3, 5, 9, 11, 12 d. {1, 2, 3, 4, 5, 9, 11, 12} 12. Compare and contrast the set of all whole numbers less than 8 and the set of all integers less than 8. Include the set notation for both in your answer. 13. Write the set of numbers in order from greatest to least: 49, 6.25, 39,6.2 In order from greatest to least Curriculum and Instruction Page 3 of 6

4 14. Write a verbal expression for the algebraic expression: 3a + a 2 Verbal expression 15. It is 234 miles from Miami, Florida to Orlando, Florida. It is 104 miles from Orlando, Florida to Saint Augustine, Florida. Determine each of the following: a) The total distance of a trip from Miami to Orlando to Saint Augustine? Distance from Miami to Orlando to Saint Augustine: b) The total distance of a trip from Saint Augustine to Orlando to Miami? Distance from Saint Augustine to Orlando to Miami: Will travelling from Miami to Orlando to Saint Augustine be the same distance as travelling from Saint Augustine to Orlando to Miami? Describe how you determined whether the two travel distances are equal. 16. Are (3+ m) + 7 and m +10 equivalent expressions? Justify your response. Equivalent Expressions: (Yes/No) Justification: Curriculum and Instruction Page 4 of 6

5 17. Solve for a : a = 14 4(15 5) 2(3+ 4) 18. Lane 1 at your local track is 0.5 miles long. You live 0.75 miles away from the track. Which of the following results in the shortest jog? a. Jogging 6 times around the track in Lane 1 b. Jogging to the track and then 5 times around the track in Lane 1 c. Jogging to the track and then 3 times around the track in Lane 1 d. Jogging 8 times around the track in Lane Write the steps to simplify the following expression. If it is in simplified form explain why it cannot be simplified further. 44ab 44a 20. Complete the Vennn diagram below using the following information: In Ms. Jackson s Algebra class, 12 students are taking Cooking (C), 10 students are taking Physical Education (P), 3 of those students are taking both, and 5 students are taking neither. Curriculum and Instruction Page 5 of 6

6 Use the Venn diagram that you created in #20 to answer # How many students are in the Mrs. Jackson s class? 22. Given the universal set A = {1,,2,3,4,5,6,7,8,9,10,11, 12}. If M = {multiples of 2} and N = {multipless of 3}, complete the Venn Diagram below. 23. In problem #22, what does represent? a. Multiples of 2 or 3 b. Multiples of 6 c. Multiples of 2 d. Multiples of 3 Curriculum and Instruction Page 6 of 6

7 ANSWER KEY Solution NGSSS 1. b. 7 x MA.912.A c. 9.42, 55, 7.4, MA.912.A According to order of operation the first step would be to take the square root of 25. The second step would be to multiply 2 times 5. The third step would be to simplify the three terms in the numerator through addition and subtraction. Finally divide the numerator by 2. The final solution would be 3. MA.912.A {1, 2, 3, 4, 5, 6, 7, 8} MA.912.D {2, 4} MA.912.D a. True MA.912.D b. False MA.912.D b. {1, 2, 3, 4, 5, 6, 9, 11, 12} MA.912.D a. {2, 4, 6} MA.912.D c. {1, 3, 5, 9, 11, 12} MA.912.D c. {1, 3, 5, 9, 11, 12} MA.912.D Answer may vary. One possible explanation: The set of all whole numbers less than 8 is represented by the set notation 0,1,2,3,4,5,6,7 represented by {..., 1,0,1,2, 3, 4,5,6, 7}. They share 8 values, however the set of integers also contains an infinite number of negative integer values. { } and the set notation for integers less than 8 is MA.912.D , 6.25, 39, 6.2 MA.912.A Answer may vary. One possible explanation: The product the 3 and a increased by the square of a MA.912.A.1.2 Curriculum and Instruction Answer Key Topic 1 Page 1 of 2

8 15. a) Distance from Miami to Orlando to Saint Augustine: 338 mi b) Distance from Saint Augustine to Orlando to Miami: 338 mi = ; The Commutative Property of Addition. 16. Equivalent Expressions: Yes (3 + m) + 7 = (m + 3) + 7 Commutative Property of Addition = m + (3 + 7) Associative Property of Addition = m + 10 Closure Property of Addition 17. a = c. Jogging to the track and then 3 times around the track in Lane It is not possible to simplify the following expression furtherr because there are no like terms or common factors. 20. MA.912.D There are 24 students in the class. MA.912.D MA.912.D b. Multiples of 6 MA.912.D. 7.2 Curriculum and Instruction Answer Key Topic 1 Page 2 of 2