Algebra 2 Summer Packet The text… Algebra 2 published by McDougall Littell ISBN 13: 978-0-618-59541-9 Summer Packet Remember it is truly beneficial to keep your mathematical mind oiled over the summer. Please do not wait until the night before, day before, or weekend before school starts to do this! You will be so busy with back-to-school business and reuniting with friends. It’s best to complete one page per week over the summer. Also, PLEASE CHECK ANSWERS!! Remember—it’s foolish to practice something the wrong way. The material comes from Chapter 1 of your text and is a review of foundational concepts from Algebra 1. The completed packet will count as a homework grade. After the first session date, you will be tested on this material and this will be your first grade for Quarter 1. WORK IS TO BE COMPLETED ON NOTEBOOK PAPER IN PENCIL. You will not turn in your copy of the packet, just your work. This is a sample of how your work is to be completed. (The parentheses indicate directions.) Should you lose this packet, another copy can be obtained from the front office.

The class will use the TI-84 Plus graphing calculator. You will need your own calculator. Be sure to write your name on both the calculator and its cover.

Answer Key

Lesson 1.1

Study Guide

1.

2.

3.

4.

23, 22, 2 }

3 , 2, Ï

}

6

5.

25, 24, 0, 1 }

4 , 4

6. associative property of addition 7. inverse property of multiplication

8. distributive property

9. 6 2 6 1 y 5 6 1 (26) 1 y Definition of subtraction 5 0 1 y Inverse property of

addition

5 y Identity property of addition

10. 2a 1 7 1 3a 5 7 1 2a 1 3a Commutative property of addition 5 7 1 a(2 1 3) Distributive property 5 7 1 a(5) Add. 5 7 1 5a Commutative property of multiplication

11. 330 mi

Be sure you have an accurate scale on yournumber line.

Answer Key

Lesson 1.2

Study Guide

1. 2 2. 4 3. 219 4. 4 5. 11t 2 1 t 6. 12q

7. 2m 1 11 8. 2d 2 1 5d 9. 62 ft

10. 2.5n 1 54; $74

When using your calculator be very careful with order of operations! Itis important to use parentheses! -2 squared = -4 (-2) squared = 4

Answer Key

Lesson 1.3

Study Guide

1. 1 } 2 2. 4 3. 23 4. 21 5. 4 6. 1 7. 2

8. 22 9. 14.4 h

Not using the distributive propertyprobably causes students more mistakesthan anything else. Be careful, be fair, "share the love!"

Answer Key

Lesson 1.4

Study Guide

1. r 5 C

} 2π ;

44 } π in. 2. w 5 P 2 2l }

2 ; 34.5 cm

3. y 5 8 }

x 1 1 ; 2 4. y 5

6 }

2x 1 1 ; 2

5. y 5 7 }

4x 2 1 ; 1 6. 2

1. r = C/(2pi) when C = 88, r = 44/pi inches

This skill is very important in Science as well as in Math.

Answer Key

Lesson 1.5

Study Guide

1. 300 yd 2. 3.5 h 3. y 5 22x 4. y 5 4x 1 1

5. ; 10 in.

6.

x 1 (x 1 14) 5 52; 19 in.

7. ; 14 in.

Solving word problemssuccessfully is veryimportant for SAT and ACT.

Answer Key

Lesson 1.6

Study Guide

1. 4 drinks or fewer 2. 7 hours or less

3. x ≤ 2;

4. x < 1;

5. 2 < x ≤ 3;

6. 25 ≤ x ≤ 23;

7. x < 3 or x > 6;

8. x < 2 or x ≥ 6;

Check for open or closed points.

We will use inequalities frequentlyin describing Domain and Range.

2. 8 hours or less

Answer Key

Lesson 1.7Study Guide

1. 210, 4 2. 24, 8 3. 22, 7 4. 25, 4 5. 1

6. 1 7. 1

8. x < 22 or x > 8;

9. x < 29 or x > 25;

10. x ≤ 23 or x ≥ 2;

11. 2 ≤ x ≤ 10;

12. 29 < x < 25;

13. 26 ≤ x ≤ 4;

Remember, the value inside an absolute valuesymbol can be either positive or negative so youmust always consider two equations or inequalities. |x| = 2 |x| > 2x = 2 or -x = 2 x > 2 or -x > 2 x = -2 x < -2

Answer Key

Review and Project

Cumulative Review

1. commutative property of multiplication

2. inverse property of addition

3. distributive property

4. 12 p (c 4 2)

12 p 1 c p 1 }

2 2 Definition of division

1 12 p 1 }

2 2 p c Commutative property of

multiplication

6 p c Multiplication

5. (3b 2 9) 1 12

[3b 1 (29)] 1 12 Definition of Subtraction

3b 1 [(29) 1 12] Associative Property of Addition

3b 1 3 Addition

6. 12.5 mi/h 7. 1.6 h 8. 27 9. 16 10. 21

11. 10 12. 13 13. 2m2 1 8m 14. 22s 2 t

15. 9 16. 6 17. 3 18. 21 19. Stage A: 5, Stage B: 3 20. 7.5 ft 21. 7 mi

22. y 5 2 1 } 2 x 1

9 }

2 ; 5 23. y 5

3 } 5 x 1

12 } 5 ; 6

24. y 5 8 }

x 1 1 ; 2 25. y 5

1 }

3 2 2x ; 1

26. m 5 22 }

(4 2 3n) 27. s 5 2t 2 3 28. z 5

1 }

y 23

29. x 5 1 2 z3

} y2

30. t 5 0.75 h 31. 50 mi

32. 36 in. 33. 24 cm 34. C 5 4 1 0.99n

35. x > 13 36. x ≤ 4 37. x ≥ 5 38. x < 218

39. 6 ≤ x ≤ 12 40. 4 ≥ x ≥ 216

41. x > 7 or x < 4 42. x ≥ 3 or x ≤ 1 43. 7

44. 14 45. yes 46. yes 47. 21, 11

48. 25, 11 49. 24, 1 50. 22, 9 51. 1, 3

52. 5 } 7 , 5 53. 25 ≤ p ≤ 36

33. = 110 cm