SUMMER PREPARATION

ALGEBRA 1 HONORS ANSWER KEY

---

Name: Date: _hjj= r!!) FRACTIONS REVIEW

4 +~ qd LeDI 9 6

1- + /5 /g /8

c2~

18

/~

Multiply

-8 3 -e­9 4

-;(t! ~/;;­

36 .::-/:r

-:2­-3

Subtract

2 _! ¥ it!)/ 3 4

lL-!­/2 /;2­

-5'j:L

Divide

-5 . -1 . 12 3

fJUl!}jtif1 bt del/lOed/

/ - ff , ~ en55 --tdIlal

~ # -/ -E) _ !) _ ----- - .-- -­-If If

~t!!J Word Problems with Fractions and Decimals

1. Josh bought 6 packages of cookies for $4.78. Each package contained 11.25 ounces of cookies. How many ounces of cookies did Josh get altogether? , 3

1/.;15 X b b7.5" 0

.. nttd 2: dlutYw plAa5 -

2. The Bauer family purchased three surfboards last year. Two of them cost $123.75 each. The third board cost $93.75. How much did the three surfboards cost altogether?

dlf7.5D/~3. 715 )( :L -I- 93.75 cJ til. 9J 3LfI.~5

It3'1/. d5 fofa)

3. Jodie bought 5.25 pounds of fudge at the local candy shop. She would like to share the fudge with the other students in her math class. If she wants each student to receive 0.21 pounds of fudge, will she have enough for the 22 students in her class? (Show all work and explain your answer).

I

4. Allie needs 10 lightbulbs for her new house. She can purchase lightbulbs at Wegmans for $0.62 each or buy them at Tops in packs of 5 for $2.90. Where should Allie buy the lightbulbs? How much will she save by going to the store that offers the better deal? (Show all ,Jn •

work and explain your answer). ~ !J mLlsf haW,; :l ()llDma / kJ~.s: If. 6;2 · /() :: IJ 6.20../' ~ . pfJfJS.

Tops /~ lOps IJ ,;J. 9() ':2.: $> 5 <j() cJudper b# L/tJ 1­

5. Brianna's recipe for apple fritters makes twelve fritters and uses three-fifths of a cup of milk. How much milk will Brianna need to make

jX fritters? .L . d- :::[ 3... ~s;\ J- JJ" f ;L 5 /~ If /JU:L ,ft)l. amDUJl;

6. Michael's lemonade recipe calls for eight and one-half cups of water, one and two-third cups of lemon juice, and one-fifth of a cup of lime juice. How many cups of lemonade does Michael's recipe make?

8.1- +- / 1:. -I- J ;l, a 5

ilf-2+.L. c2 3 5

3/1 _:;85 +- 50 + /:; 30 30 30 30

7. Sarah has 4 and two-thirds apple pies. If she wants to share the apple pies evenly among her five friends, what fraction of a pie will each person receive?

- /'1 ­ !1 q: a.- t1Lf~ -:-5 3 5/

/5 !/rt ~ rU11L/YLb~ 6= §. pffjlfr\-­/

I

------DateName_~ ~ Integers

Complete.

1. 15 + 6 c2l 2. 44 + -10 3~ 3. -14 + 1 -}3 4. 33 + 20 53 5. 43 + 30 73 6. -28 + 18 -ID 7. -1 + 49 lf8 8. 12 + -31 -Iq 9. -19 + 15 -l.( 10. -14 + -45 - 5Cf 11. -7 + -34 - tf } 12. -7 + -6 -13 13.

16.

11 + -32

-47 + -30

-,)1 -,7

14.

17.

5 + -43

21 + -30

-38 -LJ

15.

18.

-14 + 24

-1 + 39

,D 38

19. 15 + 29 44 20. 16 + 35 51 21. 42 + 15 5'7 22. -27 + 2 -Jb 23. -1 + -31 -32­ 24. 42 + 26 08 25. -15 + 42 ;;<7 26. -15 + 5 -/0 27. 29 + 10 31 28. 22 + -2 ~O 29. 25 + 4 2q 30. -28 + -42 -7{) 31. 7 + -29 - ;}d­ 32. -9 + 40 31 33. 33 + -44 -II 34. 38 + -1 37 35. 37 + -40 -3 36. -15 + -20 -3!? 37. -3 + 20 17 38. 19 + 14 33 39. 9 + -13 -4 40. -23 + 36 \3 41. 4 + 7 II 42. 47 + -48 -I 43. 42 + -29 13 44. 34 + -20 J ~. 45. 36 + -21 I~ 46. 35 + -7 ;28 47. -24 + 26 2­ 48. 37 + 36 76 49. -41 + 19 - ;2;)., 50. 42 + -30 12­ 51. 10 + -8 2­52. -9 + 35 ;2b 53. -16 + 41 J'5 54. 46 + -35 ,/

55. -43 + 38 -5 56. -20 + 9 -II 57. -9 + -21 -30 58. -17 + 42 ~5 59. 25 + 35 GO 60. -46 + 24 -Z~

Date _Name _--L...!J.~~'---__

Integers Complete.

1. -22 - 3 -;15 2. 7 - -27 .e« 3. 30 - -49 71 4. -16 - 22 -lgfy 5. -17 - 8 -;15 6. 22 - -5 ;(7 7. 47 - -10

10. -31 - 3

13. 5 - -26

16. 10 - 2

19. 49 - -7

57 -3t1 3/ 8 56

8. -41 - 17

1l. -47 - -7

14. -15 - 3

17. -28 - -40

20. 26 - -47

-.5PJ -l./{)

-/8 /;0 73

9. -34 - 7

12. 46 - 22

15. -18 - A4

18. 23 - 10

2l. 29 - -44

-11-/;Xf :<6 /3 70

22. 27 - AO {,7 23. 35 - 31 t.f 24. -26 - 40 -b6 25. 49 - 49 0 26. 47 - -46 q3 27. -23 - 21 -lfr.f 28. -44 - 21 -b5 29. 28 - -46 7'1­ 30. 31 - 48 -/7 31. -32 - -3

34. 46 - 5

37. 45 - 19

-~CJ 1./-/ e:<6

32.

35.

38.

-38 - 15

A5 - 31

42 - 33

-53 -76

q

33.

36.

39.

-29 - 22

12 - -8

6 - -24

-r;/ 20 30

40.

43.

-21 - -42

24 - 30

;2.,/ -6

41.

44.

-40

-26

- 3

- 38

~1.f3 -64

42.

45.

4 - 17

29 - 22

-/3 1

46. 11 - -33 Lft.f 47. -36 - 32 -6fj 48. 5 - -15 ;20 49.

52.

55.

58.

-35 - 36

24 - 6

-44 - -42

-46 - -24

-7/ fA -c:u -c2Z

50.

53.

56.

59.

32 - -1

-42 - -23

-23 - 35

-23 - 14

,Q<3-/9-sA -d7

5l.

54.

57.

60.

49 - 30

-44 - -6

21 - -25

17 - -43

1'1 -31S

tf-6 bO

k1Y (/I) Date _Name ----=.U---A--'-/--=----­

Integers Complete.

1. 33 + 12 Lff) 2. -10 - -47 l~7 3. -19 + 34 /6" 4.

7.

-44 - 16

21 + 32

- 60 53

5.

8.

4+ 15

9 - -33

/1 lj-;L

6.

9.

37 - -47

5 + -35

S'-!­-30

10. -46 - -29 - /7 11. 25 + -46 -02/ 12. 25 - 24 J

13. -2 - -41 31 14. -16 + -12 -cJ-f 15. -36 + -42 -76 16. -16 - 8 -;2lf 17. 4 + 22 ;Zb 18. 27 + -42 -/5 19. 45 - -35 80 20. -3 - -30 ;27 21. 12 - -42 !SCI 22. -43 + 8 -35 23. -25 + -33 -sB 24. -46 - -1 ---'-Its 25. 48 + 48 1b 26. 5 - -23 ;2~ 27. 45 + 41 8b 28. 24 - 39 -/5' 29. 34 - A2 7b 30. -9 + 33 ;?tf 31. 19 - 20 -I 32. -47 + 17 -30 33. 37 - -4 Lf­34. 21 - 37 -/b 35. -6 + 40 (3If 36. -40 + -35 -75 37.

40.

32 + 29

47 + -9

6/38

38.

41.

38 - -36

-18 + -30

7Lf -'1-8

39.

42.

-5 - -3

-35 - -6

-~

-;zq 43.

46.

49.

52.

44 - 5

4 + -26

41 - -4

-40 - "5

31 -;2:& L/-5

-35"

44.

47.

50.

53.

-43 + -31

-18 - -48

1 + 35

-13 + 13

-7tf 00 36 0

45.

48.

51.

54.

42 + 29

-13 - -26

11 + 17

27 - 30

7/ /3

c:<8 -3

55.

58.

12 - 12

-44 - 1

0 -IfS

56.

59.

17 + 19 36 -32 + -43-75" .

. 57.

60.

-9 - 1

-30 + -43

-/0 -73

Date _

Integers Fill in the missing number.

1. -;L + 44-­ = 42 2.

38 + cJl7 = 65 3.

-15 +-lf6 = -61

4. -1 + -21 :: -30 5.

JG + "43 = -41 6.

-40 + 33 = -7

7. 14 + cJ.., = 16

8. -37 + -44 :: -81

9. -/7 + -9 :: -26

10. 42 + ~3 :: 65

11. - 'I + -28 :: -32 12.

17 + cZ = 19

13. -Iif + -18 = -32

14. -46 + -dJ, = -72

15. -~3 + 4 = -19

16. -3 + 36 = 33

17. '1-6 + -16 = 30

18. 2 + -37 = -35 .

19. 14 + !i!L :: 63

20. 37 + -31 = 6

21. -4 +·tR7 = 23

22. -:b+-10 = -12

23. 11 + -3fJ = "19

24. 5 + 2:: 7

25. -Iii + 24 = 6 26.

45 + dB :: 73 27.

38 + il!L = 58

28. 30 + -29 = 1

29. 12 +-LflI­ = -32

30. ~1 + 31 :: 60

3l. -44 + li = -15

32. -35 + 24 = -11

33. -9 + ~ = -26

34. -3/+ 49 = 18

35. A3 + 10 = 33 36.

-16 + /3 = -29

37. 41 + J!L = 60

38. d~ + 4 = 26

39. -.lL + 15 :: 26

Name: Date:ktff %%%%%%%Percents to Know! %%%%%%%

FRACTION DECIMAL PERCENT

1 ,5 50%-2 1

·3 38. 3 ~ (f~33%)-3 2 -

hh.6% ( r67%)- ,63 1

. ;lEi :<5 %-4 2 ,5 50 ~ -4 3 ,75 7/)%-4 1 .Z c:<o %-5 2 ,Lj- L/-() 70-5 3 -(; h() %-5 4 .g 8{) %-5 1 .f !tJ %-

10 2 ,;L 02[)~-

10 3 .3 3{) %-

10 1 . ()5 5~-

20 2

./0 /0 %-20 3 , /5 /5%-

20

~ shuultL kntmJ ~ ~ ~ /{)fA~

0J1J{ tXo M~ -1*

---

JIw .t ,Name: _--'-~~__U \..:./ Date: - ­

%%%%Percents to Know QUIZ %%%%

PERCENTDECIMALFRACTION

(in simplest form)

-1 v33;t- ,3 33.3 % Co3

.8 V .75 7570

,8 80%.i:!S 17 - ,a5 g5%20

7 - 7j 7010 ·7 I .2 c:(() ~ -5

2­67%.ct sc;3

2 - .Lj­L/a ~ 5

i. .5 51J~ ~

1 - . ;)5 d5~4

f( 55%.55~

9 - .q q() 7fJ10 :}

.15€)..O- /8% 19 - ,CJ520 1570

--

NAME: KM: ~ DATE: _ Period: ~ Partner Practice

ORDER OF OPERATIONS

Name the operation that should be done first in each expression.

1. 8- 4+6+19+-121

Evaluate each expression.

3. -4- (1 8 - 12 ) - I3 - 5 I 4. 7( 22 - 3-6 ) - 102 + 5

-4·b-L 1 (Y) - ;;..0

-,24 -2­ rDo 5. 24 + ( 4 - 2 ) - 3 + 1 6. -34 - [22_10

+ 20]+7_142- 251

- 34 - J.- +- 7 . 412 .. ~+-t - ~L( _. 2 ~. 63

® -36 +-63

@ Insert parentheses to make each sentence true.

7. 18 +(3 + 3)- 2 =1 8. 66 -8} 4 + 10 =12

I~ ~ b -:2 =I ~ .:.; L/ -+ (0 3-2 = ( ;L+ 10

1=/-/ ~

_ ~ II)NAME: _ _ \J .DATE: _ Period: Homework 2 ~-

ORDER OF OPERATIONS

Evaluate each expression.

1. 2 + ( 32- 12 ) - I 19 - 38 I 2. -30 + ( 12 - 3-2 ) + 4

2 ... (- ~) .- ,. 14/ -so -: ('2-&) +'i 2+-3 -I' -30 -:-, .,. t.I -I-I" -5 .,.&1

(-2D ] EJ 3. -6( 24

- 32) - ( 5 + 1 ) 4. 17 - ( 43 - 23 ) + 24

- 5

-b(/6- f ) " ( 6) /7-,2/J +- Bo -,(-,) ... , - 3.,.,/0

-",,. -6 6DEY!J 5. Josh is trying to evaluate the following expression, but gets an incorrect answer of 9 each time he tries it. Can you help him? What mistake is Josh making and what is the correct answer? Show all work and explain your answer.

5-3 -1-9-21 + 32 + 4 e"rrl(/­/6' - /8 f if wI-" 11-2+'1

ICI~ I~ - 2 +'-/ I n" JfJltlt. dIls Ullihl>c.--G~

1~-6

IJt is ~ fISt« -Iv f) tt -IrJ Yf h+) Sul:ltr~d ~ AJJUL

Evaluating Expressions ,.., HW

Evaluate each expression for x = -5, Y =-1, and z =4.

1.x-3

- I

(-.5)3

2. (x - z) 3

(-5_lf)3

3. 8x + y + (-Z)3 -- '10 -7 8(-5)';(-1) + (-Cf) 3

3(-i;:;~ B 3(25)+'1./

5. 6x + y2b (-5)-1- (_1)2 -30 + I

6. (xy - zf (t:5)(-1)~ 11-) z,

( 5--4) 2­

7. XO • Z -3

(_ 5)Cl -(4) -3 ,

) • '-1 3

8. xz" (_~)(q)-2 ,

).

(-5 • ("01­

-541 Ib

Evaluating Expressions CWr-

A. Evaluate each expression for x =-4, Y =-3, and z =2.

__0 -, ()

5. 3x - y2 - /c:L - CJ=- -2/

6. (xyzf

7. x3 • Z-3

3 d -2B. Evaluate each expression for f =- an 9 =-. 1. fg _ 6 6).. 4 3':''',''

~ ... ' .-... 12 - ;l.,r­

·-- '··r 3 )i':; ,~I- .".",J

3. -2f -64

-. --

-2. _ 'IS 37 -~3.L-~.'"4. 5f + 9 -- '1--­-3 - 12 /2"

-f _ jL-t2Y

5. f - 9 - ­1 3.. - -~ -1 2

~ ~ ~ rc-:Tz .ta ;~ - ~ : ~

C. Write each set of numbers in order from least to greatest. Place them on a number line. (Change each number to a decimal first!)

1 -5 0 1-21. -0.3, -, -, - .6, -, ­3 6 2 3

,~ -ffi • ~ ,;.­

1! ~ 3

---Date:Name:

o Simplify each of the following expressions o Write your answers using only positive exponents

-=X -~ ::71I

d. (3x 8y)(-11x4y -5)

-33xI2{~

-33X )2­

- if Y

25 ~5

X Y 2lf3

----,II;

Name: ~ Da~:~ D Simplify each of the following expressions D Write your answers using only positive exponents D Show all work! D Please circle your final answers (2 points each)

2 -tf Ixb. -6 ==X =lj

X X

d. (5X2y3)(_2x6y)

-/ox~¥

g. (4x4)(3x)2

4X~ •QX:2­

3bX b

NAME: __~ ~ DATE: _

Writing Expressions and Equations

Write each phrase as an algebraic equation:

1. 18 more than a number is 15. X+- I~ z: It; 2. The quotient of 4 and a number is 16. ~; /6 3. The total of 7 and x is -41. )( +-7::- ~eJ I 4. The difference of 24 and p equals 9. cZ¢-p= <t 5. The product of m and 19 is equivalent to -38. IQm" -:?S'

Write each sentence as an algebraic equation. Then solve each equation for the variable. Write your answer in the form of a sentence:

6. A number decreased by 15is 21. Find the number. X- /I:}""=2.1

X=36 7. The price increased by $42 is $76.50. Find the price.

X+42 z 76. co X.: 31../.5lJ

8. After dividing the rope 7 ways, each person received 14 feet. How many feet of rope was there before it was divided?

.i-, .: III )(: Cj f 9. 13 less than a number is -8. Find the number.

x-/,j:;-f X=-~

10.Four more than twice the number of cars is 72 cars. Find the number of cars. 0()( + V = 7-<:,

X--~ tj 11. Five less than three times the number of mice is 16 mice. Find

the number of mice. 3)( -7::; /6­x=:7

12. Two more than half the number of people is 86 people. Find the number of people. ~X -t-2:::; ~b

X:; Ib$

- -

Solve and check each of the following equations. You must show all work in order to receive full credit. DO NOT FAKE YOUR CHECKS!

CHECK

-2t -::-25 -r 5

-~(m)-= -25 l;::r I . j. n,

-25=-25 u 2. 3 - (-x) =19 CHECK

3 +X :;:Jq 3-(-X) =11 -3 -3- - 3-(-lh) ::: ,1

X=-Ib 3+16=/qlq=lq J\J0

? 2 3 3':i" 3" (x + 4) =8 ' 2­

X+4-;;.12.-tf -Lf

'X=rt

4.

- -

--- -

tlrt 5. 12x- (4x + 10) = 5~J

/;<X-l!X -/0 =!./, ~X -/O=-W

+10 +10

(jX=6LfT 9"

X=:q 6. 8 + -x =-7

~, 5 I)-2.. :Q.

5" X= -/5' -5"-5 X=-75

7. -6(8-x) + 15 =-51

-'/51'6)(+15= "'SI bX-83= -5"

+:33 -+-33

bK ==/)5TI;

X-3

CHECK -1o(C)-X) + /5 :;-E I - b(~-(-3)fl-15 -=.. -5/ -b(Jf)rlS :=.-51 -b6 +15 ::: -e!

-51= -51 10.!J

- -

- -

--

IJate: __Name: --~l-----------Multi-Step Equations

Solve ANIJ Check each of the following equations. You must show each step individually. When necessary, leave

answers in simplest fraction form:

a. 2x -7 = -11

-f-l ±l

;2X=- -~ 2- 2­

(fi) 7b. 4 = -y + 11 12

- u -:J..L 7 p-

o _. 7 :: Tz~ II l'

(y-~'D c. 9n + 14 - 7n =30

~t1+14 -=-30 -.Ii. -.Li. 211 = Ib

2x.-3 z: 5 +3 +;3

J-"A::8-

check cXX-7 ~ -II

;2(-~)-7 -:=-// -4 -7 ::; -1/

-II:: -JI I~

check

4=7 y+11/2­

4= 72 (-12-)+ II 4::-7+/1

Y=4 v'C) check

qn+-/ij-lh ~ 30 q(8)+l4 -1(8) ~30 72+14 -56 ::30

a0-51)~30

30=30 I ~

check 4X-3=-2X+S

q(4)-3 ~ 2(4-)+5' Ib-.3:: ~'+-5 '3 ::: 13 J 0)

check -5(ZX-l) +6x =2/ -S(2(-lf)-I)+b(-4) ~21

., - 5 (-g-I) +6(-4) =-2 J

-5 (-q)+b(-4.)~21 45 +- -24 :;21LJx- Il­-=" I -- 'IC/ 21=21VQ

=-~

g. 9x - 24 = 2 + x)'-LJ'

QX-2t.f:: 3,x +Ib ~8X.

~:~

qX-2~; Hx+lb --qx ~ - e20 4::: - bO+ - J~ Lf

- -24 ,=- 2.X -+ /b -20Y ~ -2D4 J~ -Ih -.J.!L ~ ~, ~Y!l:;~ ~-~

2.-~ BONUS: -3x + .!.(l+ 12x) = 5x + 8 - 7x

3 i-- ~

-3x+ 2 -t- 4- X z: !3.'X +)5 - !X X42. :: -2X +8 -

+2)( +2.)( ­

'2'- t~3 )< or' -' ', ­

- 2 "'l::­-