Rising 7th Grade Algebra I Math Packet 2021-2022

[Pages:15] HHES Rising 7th Grade Algebra I Math Packet

Dear students,

NAME ____________________________

Please write your name on each page.

I would like you to be as prepared as possible for Algebra I next year. By completing this packet, you will not only retain more of what you have already learned, but will have a glimpse into what you will be learning next year. This packet will be an integral part of what we do next year.

This packet will be collected during the first week of school. As the school year progresses, I will return specific pages back to you for correction, discussion, and reflection. Thus, the work you show in this summer packet will be used to earn grades during the school year.

It is important that you: ? Work a little each week during the summer. (See recommended pacing below.) ? Do NOT wait until the last two weeks of summer to complete this packet. That

is a stressful way to work. ? Ask your parents for help. Research helpful information using the internet, old

textbooks, etc. ? Do NOT look up the answers or how to do a specific problem. I want to see

your thoughts on paper. Show all work. ? You may not understand everything in this packet, but you should try

everything in this packet. There is growth in the struggle toward success.

Recommended Pacing

Week 1: Page 2 Week 2: Page 3 Week 3: Page 4 Week 4: Pages 5 and 6 Week 5: Pages 7 and 8 Week 6: Pages 9 and 10 Week 7: Pages 11, 12, and 13 Week 8: Pages 14 and 15

1 of 15

Name _________________________________________________________ Date _________

HSHkESi lRl sising Test

7PthrGerardeeqAlugeibsraitI eMaSthkPaiclklest

TestNAME ____________________________ Please write your name on each page.

Add or subtract.

1. -9 + (-15)

4. -6 - 11

2. 2 + (-3)

5. 13 + 8

3. 6 - 9

6. -12 - (-10)

Answers 1. 2.

Multiply or divide.

3.

7. 2(-7)

8. -8 ? 2

9. 9 ? 3

4.

10. 25 ? (-5)

11. -30 ? (-6)

12. -1(-7)

5.

6.

Solve the problem and specify the units of measure. 7.

13. The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter

of the rectangle.

8.

14. One side of a square measures 9 centimeters. Find the area of the square.

9.

Graph the numbeNra.me _________________________________________________________ Date _________ 10.

15. 4

Skills Test

Prerequisite 1S6k. ills-3Test

11.

-5 -4 -3 -2 -Ad1d o0r sub1trac2t. 3 4 5

-5 -4 -3 -2 -1 0 1 2 An3swe4rs 5

12.

1. -9 + (-15)

2. 2 + (-3)

3. 6 - 9

1.

13.

17. -6 + 5

4. -6 - 11

5. 13 + 818. 1 - -63. -12 - (-10)

2.

Multiply or divide.

3.

14.

-5 -4 -3 -2 -71. 20(-7)1 2 3 4 58. -8 ? 2

-5 -49-. 39 -? 23 -1

0

1

2

4.

34

5

15.

10. 25 ? (-5)

11. -30 ? (-6)

12. -1(-7)

5.

Complete the statSeolmve ethne tprwobiletmhanpe,ciofyrth=e u.nits of measure.

6.

16.

7.

19. 3____7

13. The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter

of the rectangle.

20. -1____4

8.

17.

14. One side of a square measures 9 centimeters. Find the area of the square.

9.

18.

21. - 4____ -10Graph the number.

22. -6 ____-3

10.

15. 4

16. -3

11.

19.

Evaluate the expression for the given value of x.

12.

-5 -4 -3 -2 -1 0 1 2 3 4 5

-5 -4 -3 -2 -1 0 1 2 3 4 5

20.

23. 2x - 6; x = 9

24. -7 + 9x; x = 3

25. 12x + 13; x =13. 5

17. -6 + 5

18. 1 - -3

14.

21.

See left. See left. See left. See left.

-5 -4 -3 -2 -1 0 1 2 3 4 5

-5 -4 -3 -2 -1 0 1 2 3 4 5

Complete the statement with , or =.

19. 3____7

20. -1____4

21. -4____-10

22. -6 ____-3

Evaluate the expression for the given value of x.

23. 2x - 6; x = 9

24. -7 + 9x; x = 3

25. 12x + 13; x = 5

15. See left. 16. See left. 17. See left. 18. See left. 19. 20. 21.

22. 23. 24. 25.

2

Algebra 1

Assessment Book

22.

23.

Copyright ? Big Ideas Learning, LLC

24.

All rights reserved.

25.

2 Algebra 1 Assessment Book

Copyright ? Big Ideas Learning, LLC All rights reserved.

2 of 15

Name_________________________________________________________ Date __________

HSHkEiSl lRsising Test

P7thrGerradeeqAulgeibsraitIeMaSthkPaiclklest

TestN(cAoMntEinu_e_d_)_________________________ Please write your name on each page.

Evaluate the expression for the given value of x. 26. - x - 12; x = 4 27. 13 - 7x; x = -10

28. 11x + 17; x = -6

Answers 26.

Plot the point in the coordinate plane. Describe the location of the point.

27.

y

28.

2

29.

-4 -2

2

4x

30.

-2

31.

32.

29. A(4, 2)

30. B(-1, 3)

31. C(-5, -3) 32. D(3, 0)

33.

Use the graph to answer the question.

y

34.

T

R

Nam4e _________________________________________________________ Date _________

35.

Q

S2 k i l l s Test

Prerequisite Skills Test

U

Add or subtract.

-4 -2 1. -9 + (-215) 4 x 2. 2 + (-3)

3. 6 - 9

S

-2

4.

-6 - 11

5. 13 + 8

6. -12 - (-10)

Multiply or divide.

33. Which ordered7. p2a(-ir7)correspond8s. to-8p?o2int U?

10. 25 ? (-5)

11. -30 ? (-6)

9. 9 ? 3

12. -1(-7)

34. Which orderSeodlveptaheirprcooblrermeasnpdosnpedcisfyttohepunoitisnotf S?measure.

13. The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter

35. Which point is loofctaheteredctainngleQ. uadrant II?

Answers 1. 2. 3. 4. 5. 6. 7. 8.

36. 37. 38. 39. 40. 41.

See left.

14. One side of a square measures 9 centimeters. Find the area of the square.

9.

Solve the equation for y.

Graph the number.

10.

36. 2x - y = 3 15. 4

37. 3x + 2 y = 1-6.4 -3 38. - 2x = 6 y +11. 3

42. See left.

0 = 7x - y + 12 -2 y + x = 4 y - 6 39.

-5 -4 -3 -2 -1 0 1 2 3 4 5

40.

-5 -4 -3 -2 -1 0 1 2 3 4 5

17. -6 + 5

18. 1 - -3

Solve the inequality. Graph the solution. -5 -4 -3 -2 -1 0 1 2 3 4 5

41. p + 6 > 9

42.

Complete the statement with , or =.

-5 -4 -3 -2 -1 0 1 2 3 4 5

3x - 4 < 2

19. 3____7 -5 -4 -3 -2 -1 0 1 2 3 4 5

20. -1____4 -5 -4 -3 -2 -1 0 1 2

21. -4____-10

22. -6 ____-3

43. - 4m + 6 22 5x 44. Evaluate the expression for the given value of x. + 1 3x - 9

23. 2x - 6; x = 9

24. -7 + 9x; x = 3 25. 12x + 13; x = 5

-8 -7 -6 -5 -4 -3 -2 -1 0

-10 -8 -6 -4

12. 13. 14. 15. 16. 17.

3 18.4

19. 20.

-221.

22.

See left. See left. See left.

5See left.

0

43. See left.

44. See left.

Copyright ? Big Ideas Learning, LLC All rights reserved.

23.

24.

Algebra 1

3

Assessment Book

25.

2 Algebra 1 Assessment Book

Copyright ? Big Ideas Learning, LLC All rights reserved.

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NamTee_s_t_____P__r_e__r_e__q_u__i_s__i_t_e__S__k__i_l_ls___T__e_s__t__(c_o_n_t_in_u_e_d_)________ Date _________

Graph the equation.

Answers

Prerequisite Skills Test 45HS.THkeEyiSsll-tRsi2sin=g 27xth Grade A4l6g.eb2rayI+Mxath=P8acket

47. N2(cxAoMn-ti3Enyu_e=_d_)6_________________________

Please write your n4a5m. e oSneeealecfht.page.

y

y

y

4

4

4

Graph the equation.

An4s6w. ers See left.

45. y - 22 = 2x

-4 -2

y 4

2

4x

-2 2

-4

46. 2 y 2+ x = 8

47. 2x - 32y = 6

-2

y 4

2

-2 2

-4

4x

-4 -2 4 y 2 4 x -2 2 -4

454.7. SeSeeeleflet.ft. 464.8. See left. 474.9. See left.

-4 -2

2 4x

Evaluate t-h2e expression.

-2 -2

2 4x

-4 -2 -2

2 4x

485.0.

48. 14 ?-47 - 22 + (-3) ? 2 - 1-4

( ) 49. -4 - 3 + 62 ?-413 - 12 ? (-12) 495.1.

FEivnadluthaetestqhueaerxeprroeosts(iso)n. .

48. 50.

142?5

7

-

22

+

(-3)

51.

?- 2

8- 11

505.2.

( ) 49.

52.

-?4 -9 3 + 62

? 13 53.

--12

1?4(4-12)

515.3.

525.4.

WFirnitdetahne esqquuaatrieornofootr(st)h.e nth term of the arithmetic sequence.

5540.. 3, 62,59, 12, ! 51. -55.817, 0, -7, -521.4, !? 9 56. 2, 1533,. 24-, 351,4!4

Name _________________________________________________________ Date _________

535.5. 545.6.

Write an equation for the nth term of the arithmetic sequence.

Simplify the expressSikoilnls.

5574.. 73,x6-, 91, 1+2,2!x Test

5P5r.er7e,q0u, i-s7it,e-5S184k.,i!ll3smTe+s52t6-. 62m, 13+, 824-, 315, !

Add or subtract.

Answers

555.7. 565.8.

S5im9.pli-fy4(th2ey ) e-xp1re+s1s3.ioy-n9-.+ (7-15)

( ) ( ) 2. 2 + (-3)

60.

3 d +3. 36 - -9

2d - 1

+ 11.1d + 8

57. 7x - 1 + 2x 4. -6 - 11 Evaluate the expreMsulstipiloy nor dwivihdee. n

x

5. 13 + 8

= - 3. 58.

3m + 62. --12 6- m(-10+) 8 - 1

2. 3.

( ) ( ) ( ) 665119...

3-x42 2-y 6- 1

+ 73. y2(--7) 7 626.2.

10. 25 ? (-5)

2x28.--86?x26+0. 1 3

11. -30 ? (-6)

d

+9.39 ?-3 6633.

12. -1(-7)

2-dx2--1

5+x

1-14.d1 5.

+

8

E6v44a..luaxt2e +the3xex+pr8eSoslvseitohenprwo6bh5l6eem.5n.andx-sp2e=cxif2y-th3+e.u4nitxs + 3 of measure.

6.

6666. -3x2 - 6 - x

61. 3x2 - 6

13.

The lengt6h o2f.a rec2taxng2le -is 66fexet a+nd 1the width is 3 f6ee3t. .Find-thxe 2per-ime5terx

-

7.

1

of the rectangle.

8.

Solve the system of linear equations by graphing.

666774.. . Solve

67.

tyyxyyh2e====+s-2y-2342sxx22xtxxey+++m--118Go33111rfa457p...lhiO4n--t-hn65e5ee-+-as4n4i-udr5-6e3m3-e668o6-b2f2qe.588-ar-1.u...s1qa0u0at-yyryy1ie1o2m2==n2==xea3s23su-x42-4xrb4+e12sy51+25+y9x4xgc1ex1r+n+tai+11m1p681e..ht3e1ri--sn-.-535F-g-i-4n4.3-d-3t3-h-e2662-a66-691re199..a0..o0f1-tyy1hyy22e32s==x3q==3yu2a4-r423e--523.x435 x436x-x--+4+11111140123495x2....... 2

See left.

575.9.

586.0.

596.1.

60. 62.

61. 63.

62. 64.

63. 65.

64. 66.

65. 67.

-4

y 4 -2 -22

y

Complete

2 4x

the

sta-te4ment-w2ith

,

or

=. 2

4x

19. 3____7

-22

20. -1____4

-2

y

-22

2

-4 -2 -4

21. -4____-10

22. -6 ____-3-2 -4

2

2Evalua4texthe

-4 -2

expression for

-4

the given

2

value

of4xx.

-2

-2

23. 2x - 6; x = 9

24-. 2-7 + 9x; x = 3 25. 12x + 13; x = 5

4

Algebra 1 Asse-ss4ment Book

-4

-4

416. 6Sexe left.

17. See left.

18. See left.

4 6x

19.

66. 68.

67. 69.

68.

20.

69.

21.

Copyright ? Big Ideas Learning, LLC

22.

All rights reserved.

4 Algebra 1

Assessment Book

23.

24. Copyright ? Big Ideas Learning, LLC All rights reserved.

25.

2 Algebra 1 Assessment Book

Copyright ? Big Ideas Learning, LLC All rights reserved.

4 of 15

 HHES Rising 7th Grade Algebra I Math Packet

NAME ____________________________

Please write your name on each page.

5 of 15

 HHES Rising 7th Grade Algebra I Math Packet

NAME ____________________________

Please write your name on each page.

6 of 15

 HHES Rising 7th Grade Algebra I Math Packet

NAME ____________________________

Please write your name on each page.

7 of 15

 HHES Rising 7th Grade Algebra I Math Packet

NAME ____________________________

Please write your name on each page.

8 of 15

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