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CCHS SUMMER MATHEMATICS WORKBOOK

Camden Catholic High School

Incoming In. Algebra 1.2 Course Number 318

Summer Math Practice 2020-2021






This packet is designed to review and refresh previously learned material from grade school. This packet should be handed in on the first day of class and you will be tested on this material within the first week of the school year. It is highly recommended that you not only put your best effort and show all work, but make note of topics that you still have difficulty with so you can seek help and clarification from your instructor. Please see the pages that follow.




















NAME



NAME

Summer Review

Algebra I

Lesson 1


ADDING & SUBTRACTING – show all work:


1) 134 2) 2337 3) 324 4) 765

+ 76 + 9566 556 900

+ 110 + 12








5) 765 6) 5783 7) 4000 8) 4321

- 89 - 2442 - 3678 - 999








9) 5.34 + 12.1 + .098 10) 22 + 1.5 + 17.99 11)143.6 + 23.556 + 17











12) 7.2 – 3.6 13) 56.876 - .0009 14) 104 - .0003












15) 2 – 5 16) -3 – 7 17) -5 – (-8) 18) 4 – (-12)












19) -4 + 13 20) -10 – 3 21) -15 + (-12) 22) 8 + (-17)










23) seven decreased by twelve 24) thirteen more than five









25) the sum of ten and nineteen 26) eight less than twenty













Summer Review

Algebra I

Lesson 2


MULTIPLICATION & DIVISION – show all work


1) 123 2) 56 3) -774 4) 1357

x 6 x 91 x 301 x 2468













5) 1.3 x 2.78 6) 14 x 3.08 7) -0.7 x 134.9 8) 0.111 x 56














9) (-12)(-7) 10) (14)(-3)(0) 11) (2)(-3)(4) 12) (-2)(-2)(-2)








13) 69 ÷ 3 14) -48 ÷ (-6) 15) 72 16) -17 ÷ 10

9







_____ ______ ______ ______

17) 15) 3045 18) 9)14678 19) 41) 40.934 20) 1.02)3040.5










____

21) .03)2348 22) -439 ÷ 0 23) 5 x (-8) ÷ 2 24) -20 ÷ 4 x (-7)












25) the product of negative four and twelve 26) sixty divided by three









27) the quotient of 121 and eleven 28) one third of negative 18










Summer Review

Algebra I

Lesson 3



COMBINING, REDUCING AND CONVERTING FRACTIONS – show all work:


1) ¼ + ¼ 2) 3/5 + 2/5 3) -7/3 + 1/3 4) 1 +(-2/3)













5) ½ + ¼ 6) 2/6 + 1/4 7) -5/4 + 4/3 8) -1/5 + (-1/7)













9) 2/3 – 1/3 10) 1 - 3/4 11) 7/4 – 3/4 12) -2/5 – 1/5









13) 5/4 – 1/2 14) 1/2 - 1/3 15) -3/4 – 1/5 16) 7/5 – (-2/3)












Convert to a mixed number or improper fraction:


17) 2 ½ 18) 15/3 19) 4 ¾ 20) 21/4










Reduce the fractions:


21) -5/1 22) 12/8 23) 5/15 24) 8/5










Convert to a fraction or decimal:


25) ¾ 26) 15/10 27) 2.5 28) 0.1




Summer Review

Algebra I

Lesson 4



MULTIPLYING & DIVIDING FRACTIONS – show all work:


1) 2 x 1/5 2) 4 x ¼ 3) ½ x ¼ 4) 2/3 x 1/3










5) 5/4 x 5/4 6) 2/7 x 3/7 7) 2¼ x 5/4 8) 5½ x 6¾










9) 4 ÷ ½ 10) 1/3 ÷ 1/3 11) 2/5 ÷ 3 12) 1 ÷ 4/3










13) 2/3 ÷ 3/2 14) 8/3 ÷ 2/3 15) 2½ ÷ 3/2 16) 3½ ÷ 2¾





Summer Review

Algebra I

Lesson 5



ORDER OF OPERATIONS (PEMDAS) – show all work:


1) 2 + 3 x 2 2) 10(6 - 3) 3) 7 + 2(0) 4) 2 + 6 ÷ 3










5) 2 + 32 6) (10 +2)4 7) 3[2(4 + 1)] 8) (5 – 22)3










9) 32 - 22 10) 12 – (-3)2 11) 12 – 32 12) 4 + [3(5 - 2)]










13) 10 + 6 14) 8/2 - 4 15) 9 + 12/3 16) 8 ∙ 5 + 2

9 – 5 2(8- 5)




Evaluate if x=2, y=4, z=6 and b=5:


17) 2x + 5 18) 2(x + 5) 19) 16 – 3b 20) (16-3)b










21) xyz – 5 22) 2(xy + z) 23) 9y – z 24) 2(x + y)

5(b - y) x + y

































Summer Review

Algebra I

Lesson 6



CONVERTING- show all work:


1) 5 feet to inches 2) 84 inches to feet 3) 3 weeks to days 4) 49 days to weeks










5) 6 yards to feet 6) 27 feet to yards 7) 200 m to km 8) 3 kg to grams









9) 5 years to days 10) 50 cm to mm 11) 50 mm to cm 12) 730 days to

years








13) 9 years to 14) 144 months to 15) 312 weeks to 16) 8 years to

months years years weeks



PROPORTIONS – show all work:


17) x = _7_ 18) 3 = 5 19) 2 = 12 20) 5 = _x_

4 28 9 x 3 x 4 13










21) 4:5 = x:15 22) 7:x = 11/20 23) x:17 = 3:15 24) 9:4 = 19:x
































Summer Review

Algebra I

Lesson 7



CONVERTING PERCENTAGES/DECIMALS – show all work:


1) 75% 2) 200% 3) 5% 4) 0.1%









5) 0.05 6) 0.8 7) 150 8) 1










CONVERTING PERCENTAGES/FRACTIONS:


9) ¾ 10) 1/10 11) 3/2 12) 7/100








13) 20% 14) 35% 15) 6% 16) 200%




ROUND TO THE NEAREST SPECIFIED PLACE HOLDER:


WHOLE NUMBER:


17) 5.6 18) 2.51 19) 0.41 20) 10.09









THENTH (1 DECIMAL PLACE):


21) 7.07 22) 0.99 23) 4.50000 24) 0.05








HUNDREDTH (2 DECIMAL PLACES):


25) 1.003 26) 7.079 27) 0.095 28) 0.9999

















Summer Review

Algebra I

Lesson 8



SOLVE FOR THE VARIABLE – show all work:


1) x + 6 = 13 2) 9 + y = 2 3) s + 4 = -7 4) p – (-3) = 2









5) r – 5 = 10 6) -8 + g = 4 7) d – 10 = -4 8) q + (-6) = -6









9) 7k = 56 10) 4 = 4m 11) 4k = -32 12) -24 = 6b









13) f/3 = 9 14) 24 = c/2 15) ¼x = -4 16) -15 = h/3







17) –x = 60 18) –f = -13 19) 17 = -p 20) -100 = -h









21) 3 – x = 20 22) –d – 5 = -12 23) -25 = -x + 5 24) 30 = -c + (-2)








25) -3r = 24 26) -40 = -5g 27) –x/3 = -10 28) 7 = -d/5









29) 2x + 3 = 13 30) 3x – 2 = -11 31) x/6 + 3 = -1 32) x/9 – 7 = -7















Summer Review

Algebra I

Lesson 9



BASIC GEOMETRY – show all work:



rectangle perimeter: P = 2W + 2L

rectangle area: A = bh

triangle area: A = ½bh

trapezoid area: A = ½h (b1 + b2)



1) Find perimeter of a rectangle 2) Find perimeter of a rectangle

where length=10 and width=7 where length=9 and width=4









3) Find the area of a rectangle 4) Find the area of a square

where base=6 and height=12 with an edge of 13









5) Find the area of a triangle 6) Find the area of a triangle

where base=8 and height=4 where base=5 and height=6








7) Find the area of a trapezoid 8) Find the area of a trapezoid

where height=4, base1=3 and where height=3, base1=5 and

base2=9 base2=11









9) Find the base of a rectangle 10) Find the height of a triangle

where area=40 and height=5 where area=14 and base=4
































Summer Review

Algebra I

Lesson 10



COMPREHENSIVE REVIEW- SOLVE FOR ANSWER/VARIABLE:


1) – 4 – 3 = 2) 12 – 17 = 3) -8 + 2 = 4) -4 – (-3)









5) -8 x 9 = 6) -7 x (-6) = 7) -121 ÷ 11 = 8) -120 ÷ (-10) =









9) 2 + 7 = 10) 4 + 1 = 11) 83 = 12) 7 – 1 =

5 5 5 2 7 7 4








13) 2 x 3 = 14) 5 x 3 = 15) 2 ÷ 3 = 16) 3 ÷ 5 =

5 2 3 7 8 4







17) 3(4 + 1) = 18) 4 – 8 ÷ 2 = 19) 3(5) – 8 = 20) (4 + 23) – 2(3) =








21) convert 42 22) convert 8 23) x = 3 24) 4 = 12

days to weeks minutes to 6 9 9 x

seconds






25) convert 0.1 26) convert ¾ 27) round 3.09 to 28) round 4.999 to

to a percent to a percent the nearest the nearest

whole number tenth







29) 4x – 12 = 16 30) –r - 5 = 13 31) x/6 - 3 = 5 32) -x/9 + 7 = 5








33) Find the perimeter and area of 34) Find the base of a triangle where

a rectangle where length=7 and area=36 and height=9

width=6






Summer Review

Algebra I

Solutions to odd exercises:



Lesson 1 Lesson 2


1) 210 1) 738

3) 489 3) -232964

5) 676 5) 3.614

7) 322 7) -94.43

9) 17.538 9) 84

11) 184.156 11) -24

13) 56.8751 13) 23

15) -3 15) 8

17) 3 17) 203

19) 9 19) .998390244

21) -27 21) 78266.7

23) -5 23) -20

25) 29 25) -48

27) 11



Lesson 3 Lesson 4


1) 2/4 1) 2/5

3) -6/3 or -2 3) 1/8

5) ¾ 5) 25/16

7) 1/12 7) 45/16

9) 1/3 9) 8

11) 4/4 or 1 11) 2/15

13) ¾ 13) 4/9

15) -19/20 15) 10/6

17) 5/2

19) 19/4

21) -5

23) 1/3

25) 0.75

27) 25/10 or 5/2






Lesson 5 Lesson 6

1) 8 1) 60

3) 7 3) 21

5) 11 5) 18

7) 30 7) 0.2

9) 5 9) 1825

11) 3 11) 5

13) 4 13) 108

15) 13 15) 6

17) 9 17) 1

19) 1 19) 18

21) 43 21) 12

23) 3 23) 3.4




Lesson 7 Lesson 8


1) .75 1) 7

3) 0.05 3) -11

5) 5% 5) 15

7) 150% 7) 6

9) 75% 9) 8

11) 150% 11) -8

13) 20/100 or 1/5 13) 27

15) 6/10 or 3/5 15) -16

17) 6 17) -60

19) 0 19) -17

21) 7.1 21) -17

23) 4.5 23) 30

25) 1.00 25) -8

27) 0.10 27) 30

29) 5

31) -24












Lesson 9 Lesson 10


1) 34 1) -7

3) 72 3) -6

5) 16 5) -72

7) 24 7) -11

9) 8 9) 9/5

11) 5/7

13) 6/10 or 3/5

15) 16/21

17) 15

19) 7

21) 6

23) 2

25) 10%

27) 3

29) 7

31) 48

33) P=26, A=42



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