Pre-AP Algebra 1 - SUMMER ASSIGNMENT...Pre-AP Algebra 1 - SUMMER ASSIGNMENT Congratulations! You are going take a high school math course in middle school! The Pre-AP program is designed

Pre-AP Algebra 1 - SUMMER ASSIGNMENT

Congratulations! You are going take a high school math course in middle school!

The Pre-AP program is designed for self-motivated students and independent thinkers. This summer assignment will give you the opportunity to review or learn expected skills, which are taught in 7th and 81h grade math classes, so that you are prepared for the course in which you are enrolled.

Assignment Requirements:

./ Due the 3rd day of class {Wednesday 8/23/2017} - it is counted as 2 daily grades

./ Completed neatly and legibly- if I can't read it, I won't be able to grade it .

./ Show ALL work or your thought process along each problem. NO WORK= NO GRADE

./ If you need extra room, use notebook paper and staple to the back of the packet along with labeled questions

./ Box the final answers

Additionally, an assessment (major grade) will be given within the first 3 weeks of school to evaluate basic understanding and skill mastery of the topics given in this assignment. This formal, in-class assessment will occur after students have been provided with reasonable opportunity to ask questions at tutoring sessions. My tutoring is on Tuesday and Thursday 8:10am to 8:45 am, other time is available per request. Both the assignment grade (2 daily) and the assessment grade (1 major) will be part of the first nine weeks grade.

The following are list of websites that you may find helpful:

>"' EXCELLENT!!! FREE Tl 83, 84 emulator: (only work for desktop and android) "Wabbit Emu" https ://play.google. com/store/a pps/ deta i Is? id=com. Revsoft. Wabbitem u&h l=en

>"' Excellent Math textbook with video tutorial and online practice quizzes and tests

http://my.hrw.com User ID: alggeo Password: reagan

>"' Khan academy (video tutorial): https:/lwww.khanacademy.org/math/algebra >"' Math Planet (video tutorial): http://www.mathplanet.com/ >"' Math Apps: Lite version is FREE. Upgraded version is $2.99

http://www. borenson .com/AboutHa ndsOn Eq uations/HandsO n Eq uationsfortheiPad Level 1/ta bid /1519/Default.aspx

>"' Free Generic Graphing Calculator by Desmo: https://www.desmos.com/ >"' Middle school math app (Fun! Help monkey jump): http://www.monkeyinthemiddleapps.com/ >"' These are just a few, you can find more resources online. >"' In case you misplace or need a blank packet for practice during Summer, you can print it out

from Reagan Website

Have a wonderful summer! I'm looking forward to having you for the 2016-2017 school year!

Sincerely,

Mrs. Dang, PAP Algebra 1 Teacher at Reagan Middle School

SUMMER PACKET FOR PreAP ALGEBRA 1

Part 1 Date _

l. Consider the function· f(x) = !x2 + 3. Which of the following is a correct pairing of independent and dependent values for the function?

a) (-5, -9)

c) (8, 16)

b) (-2,7)

d) (16, 67)

2. Which of these sets of points could describe a function?

a) {(4, -2), (-1, 5), (-2, -4), (4, -5)}

b) {(-6,5), (1,7), (-3,-2), (1,-9)}

e) {(5, -11), (4, -2), (6, 4), (4, -5)}

d) {(3, -1), (-6, 1), (2, -7), (1, -6)}

3. Which of the following graphs is not a function?

a)

. )··!···( i·+j) ···i·+ .. :··+·f .. , ... ; ; ; ¡ ¡..¡ ¡ .. ,,; .. ,, .. ,;,,;,+'5 .. ·i· .. , .

c) )<,;,l1'.· "'"I .i,

... ; .... ¡ ... , ...... ;'<) .. ,: .... , .. ··+···~· .. )··+··+~2 ··+ .. .- .. ¡ .. +···~··· ···j'··t···/···1···-r~l ···(··)···\···1····t:f

~ -:4 ¡3 -~ ":l u ~l ~ ~ ":I i> ... , .... , ... , ... , .... ,n¡ ... , .... , ... , ... , .... , .. ,

'''"ª .~.; .. ,-1) .. ,: .... , ··~-4

e)

b)

d)

4. Which graph represents the solution to 4x - 1 > 2x + 5?

a) E + -5 -4 -3 -2 -1 o 2 3 4 5

b) f -5 -4 -3 -2 -1 o 2 3 4 5

c) f + -5 -4 -3 -2 -1 o 2 3 4 5

d) ( + -5 -4 -3 -2 -1 o 2 3 4 5

e) f + -5 -4 -3 -2 -1 o 2 3 4 5

5. What is the domain of the graphed relation?

..... ..; , ..

.. ¿ ' . -:

a) {-2,-1,1,3,4}

c) {-4,-3,0,2,3}

b) {-4,-3,-1,0,3}

d) {-4,-1,2,4,5}

e) {-4, -3, -2, -1, O, 1, 2, 3}

6. Given the function y = -!x - 2 and the domain {-5,0,1}, what is the range of the function?

a) {2, -2, -2g} b) { -2!, 2, -6} c) { -6, -2, 2t}

d) {2!,-2,2} e) {-6,2,-lt}


7. Find the perimeter of the rectangle in terms of r .

a) 6r b) 12r c) 8r + 4 d) lOr + 4

8. In a particular triangle, the second side measures 8 more than three times the first side ( x), and the third side measures 5 less than the second side. In terms of x, what is the perimeter?

a) 7x - 11

d) 5x - 3

b) 7x+ll

e) 6x + 11 e) 5x + 3

9. In a particular triangle, the second side measures 5 less than twice the first side ( x), and the third side measures 3 more than the second side. In terms of x, what is the perimeter?

a) 5x + 7 d) 4x + 2

b) 4x - 2

e) 3x - 7

e) 5x - 7

10. The sides of a rectangle are a - 2 and a+ 3. Which equation describes the perimeter of the rectangle, P, in terms of a ?

a) P = 4a + 2 e) P = 2a + 2 e) P = 4a + 1

b) P = a2 + 2a - 6

d) P = a2 + a - 6

11. Solve: -3x - 4 2 5

12. Simplify: 3 + 5(b + 2)

a) 5b + 15 b) 8b+ 16

Date _

e) 8b + 8 d) 5b+ 13

13. Which of the following relations behaves in a linear fashion?

a) the number of ice cream cones sold each month over a 12 month period

b) the the rate of a bicycle going up and down hills

c) the number of days to summer vacation from the beginning of the school year to the end

d) the the hunger level of a 3 year old from morning to evening

14. Which of the following lines has a positive slope?

a)

c)

b)

d)

.. ···~····? ... 2 --~----~---1---~---·?··· ... : : : -e : , : : . ... ;..) ;. ;..¡·::·.:,:···;. .. ; ;..(·

... ~- .. ·: ...

Name _


15. Which of the following lines has a negative slope?

a)

c)

b)

d)

16. The graphed line has what slope?

a) m= -1 b) m=3 y

c) - 1 d) m=-3 m-3

e) m- _l - 3

1 7. Find the slope of the line that passes through the points (2, 4) and (3, -2).

Date _

18. The thrust that an engine produces is a function of altitude above sea level, as depicted in the equation

t = 8000 - 0.35a

where t is the thrust in pounds and a is the altitude above sea level in meters. What could be the meaning of 8000 in this equation?

a) altitude where maximum thrust occurs

b) thrust output at sea level

c) thrust output as maximum altitude

d) altitude where thrust is zero

19. What is the y-intercept of the line 5y - 7x = 25?

20. Lynn worked 22 hours last week. She is paid $5 per hour to babysit for the Smith's while the Jones' pay her $6.00 per hour. If she earned $119, how many hours did she babysit for the Jones'?

a) 12 hours

d) 8 hours

b) 11 hours

e) 7 hours

c) 9 hours

21. Andy's scores on his last 5 chemistry tests are 79, 88, 81, 92, and 83. What is the score he must get on the next test if he wants his average to be exactly 85?

a) 83 b) 87 e) 89 d) 91 e) 92

22. The cost to print a book is $54. The paper is an additional charge of $0.05 per page. What is the greatest number of pages that a book can be printed if the total bill is to be less than $60?

a) 1200 pages

c) 60 pages

b) 120 pages

d) 1080 pages


Date _

23. The parker family is taking a vacation. During their vacation they will drive a total of 575 miles at an average speed of 55 miles per hour. Which equation best describes how many miles m remain after h hours of driving?

a) m = 575 - 55h

c) m = 575 + 55h b) h = 575 - 55m

d) m = 55h - 575

24. The cost of demolition vehicles in an action movie is shown in the table.

Demolition Vehicles

Number Cost ($)

1 350 2 550 3 750 5 1150

Which of the following is the relation of C, cost, and n, number of vehicles?

a) C = lOOn + 250 c) C = 150n + 200 e) C = 200n + 150

b) C = 250n + 100 d) C = l50n+ 100

25. A store provides a monthly bonus to its employees according to the function

b = 1200 n

where b is the bonus in dollars and ti is the number employees who qualify. If 16 employees qualify this month, what is the bonus amount?

a) $92.31

d) $75.00

b) $85.71

e) $70.59

c) $80.00

26. If ¡n + 4 = 20, what is the value of n?

27. Find the solution: 3x + 2(x + 2) = -1?

28. Which function corresponds to all of the values in the table?

a) y= -X+ 8

d) y= 2x - 8

b) y=x+8

e) y= -2x - 8

c) y= -2x + 8

29. A paving machine may apply pressures as high as 4,250,000 pounds per square inch. What is that number expressed in scientific notation?

30. The distance from the earth to the sun is approximately 93,000,000 miles. Express this number in scientific notation.

31. One yard is approximately 0.000568 miles. Express this number in scientific notation.

32. A computer in Mrs. Tracy's computer lab requires 0.0000022 of a second to perform one subtraction operation. How is this time expressed in scientific notation?

33. In high school physics, one of the constants ccmmonly used is the Universal Gravitational Constant. Its value in scientific notation is 6.67 x 10-11. How is that number expressed in regular notation?


Date _

34. Salvatore is the coach for a Little League baseball team. He wants to take the team to watch a major league game. If the admission charge is $12.50 per adult and $8 per child, which expression could help Salvatore determine how much it would cost to take one adult (himself) and n members of his team?

a) n x (12.5 + 8) b) 12.5 X 8 X n

d) 12.5 + 8n 12.5 + 8 c) n

e) 12.5n + 8

35. An electronics firm charges a $5.00 fee plus 25¢/pound for shipping and handling. Paula orders an item that weighs x pounds, and she pays $8.25 for shipping and handling. Which equation could be used to find out how much the item weighed?

a) b) X

5 - 0.25x = 8.25 - - 0.25 = 8.25 5

c) 5(0.25) + X = 8.25 d) 5 + 0.25x = 8.25 e) 5x - 0.25 = 8.25

36. A car traveled 405 km in 5 hours. What was its average rate of speed?

a) 81km/h b) 68km/h e) 50km/h d) 72km/h

37. The Baker family has a weekly budget which allows them to spend 6% of their income on entertainment. If their weekly income is $975, about how much can they spend on entertainment?

a) $60 b) $70 c) $80 d) $90

38. If two angles of a triangle are complementary, then the triangle must be _

a) obtuse

c) isosceles

b) equilateral

d) right

39. The number at point A could be __ .

A B e D E F G

I • I• •I •I I• • I• -5 -4 -3 -2 -1 o 2 3 4 5

a) -5.4 b) -4.5 c) -4.1 d) -4-& e) 4.5

40. Which statement is correct?

) 3 2 a -;¡- > -3

e) ª > £ 4 3

b) -1.3 > -1.1

d) 1.1 > 1.3

41. Which of the following statements is true?

a) -0.732 < -0.391

c) -2.56 > 2.003

e) -12.61 > -12.601

b) -0.589 < -0.982

d) -3.923 > 0.092

42. The warmest five consecutive days in Vladivostok, Russia, during March were -17ºC, 1 ºC, -12°C, -9°C, and -2°C. Which list has the temperatures in order from coldest to warmest?

a) -2ºC, -9ºC, -12ºC, -17ºC, lºC

b) -17ºC, -12ºC, -9ºC, -2ºC, i-c c) lºC, -2ºC, -9ºC, -12ºC, -17ºC

d) 1 ºC, -17ºC, -12ºC, -9ºC, -2ºC


Date _

43. The fraction ; is accurately represented by which decimal?

a) 7.500

c) 0.57

b) 0.714285

d) 1.4

44. Find ,ff to the nearest hundredth.

45. Which point on the number line is the closest to /f7?

M N o p

1~ I • • • 4¡ 5 : 6 7 8 4.12 5.25 6.5 7.5

a) point M

e) point O

b) point N

d) point P

46. A flagpole casts a shadow that is 16 feet long. How tall is the flagpole?

',,, 20 ft.

' '

16 ft.

47. If the length of each side of a square is doubled, what happens to the area of the square?

a) The area of the larger square is double the area of the smaller square.

b) The area of the larger square is 4 times the area of the smaller square.

e) The area of the smaller square is one-half the area of the larger square.

d) The area of the larger square is one-fourth the area of the smaller square.

e) The area stays the same.

48. If the side of a square is tripled, how does the perimeter of the new square compare with the original square?

a) The perimeter of the new square is three times the perimeter of the original square.

b) The perimeter of the new square is one-third the perimeter of the original square.

c) The perimeter of the new square is nine times the perimeter of the original square.

d) The perimeter of the original square is one-ninth the perimeter of the new square.

e) The perimeters are the same.

49. When a cubE. is tripled in size, the volume is

a) 81 times larger b) 27 times larger

c) 9 times larger d) 3 times larger

1. Graph the line.

y=-x+2

Summer #1 I Page 1 /7

ALE KS® Summer #1 Pci.,t 2. TX Algebra 1 / 2nd (Inst. DANG)

j Student Name/ID:

y

8

6

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2

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-2

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-6

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© 2017 McGraw-Hill Education. All Rights Reserved.

2. Graph the line.

10 V

8

6

4

2 X

-II) -8 -6 -4 , 2 ~ 6 8 Ill

-2

l ~+ -61 -8

-l(J

3. Find the y-intercept and the x-intercept of the line below. I

y {)

5

..¡

·'

-)

-6

Summer #1 I Page 2 17 © 2017 McGraw-Hill Education. All Rights Reserved.

4. Graph the line whose y-intercept is - 7 and whose x-intercept is 4. l(J

8

ó

4

2 X

-10 -8 -6 --l 2 .¡ ó 8 10 2

--l

-6

-8

- LO

5. Find the y-intercept and the x-intercept of the line below.

y (i

5

.¡

-6 -5 --l -3 -2 -I -1

-.l

--l

-5

-6


6. Find the slope of the line graphed below.

,// 5 1-

-l-~

3-1-

2-i-

/ X

_¡ 5 .J-~

-~1 __ ,

_ _¡

-5

It

7. Find the slope of the line passing through the points (-4, 6) and (3, -8).

8. Find the slope of the line graphed below.

_¡-

3

X I

I I

-' I

..¡ I

5

-l

-2

--!


9. Graph the line with slope 3 passing through the point (-4, -2). 10

X

6

4

2 X

-10 -8 -ó ...j ~ 2 _¡ ó 8 Ill 2

...j

-6

-X

-10


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Pre-AP Algebra 1 - SUMMER ASSIGNMENT...Pre-AP Algebra 1 - SUMMER ASSIGNMENT Congratulations! You are going take a high school math course in middle school! The Pre-AP program is designed