pre-algebra · 2 u h b b pythagorean theorem = ... 4 18 2 5 y 2. find the prime factorization: ......

Approved: L. Byre Updated: 05.05.18

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For students ENTERING:

Pre-Algebra

These problems are meant to be a helpful review for those students who

completed Math 7. They represent the minimum level of mastery needed for

those students who wish to skip Math 7.

All work should be shown. Please use a separate sheet of paper and attach to

this packet if needed. No Calculator should be used. Round decimals to the

nearest hundredth.

*Each page number represents one week of work

= Week 1, Page 2 = Week 2, etc.

Helpful Hints:

Area of a Triangle = 1

2 x base x height (answer in units

2)

Circumference of a Circle = diameter (answer in units)

Area of a Circle = radius2 (answer in units

2)

3.14

Area of Trapezoid = 1 2

1

2h b b

Pythagorean Theorem = 2 2 2a b c

Simple Interest: I = p×r×t

2018 SUMMER ASSIGNMENT

PRE-ALGEBRA

Pre-Algebra Summer Packet

1

*Each page number represents one week of work. Page 1 = Week 1, = Week 2, etc.

1. Simplify:

14 7 5

2. Simplify:

3. Order from least to greatest:

1 11

,0.5,0.8,5 10

4. Simplify:

1 7

6 14 16

5. Simplify:

1 3

10 5

6. Simplify:

14 16

7. Solve: Show work algebraically!

18.03 14.7z

8. Write as a fraction, then a percent:

0.78

9. Solve:

What is 24% of 75?

10. Find the missing length:

9 ft

12 ft


2

1. Simplify:

2. Find the prime factorization:

56

3. Order from least to greatest:

21 13

,3.1, , 4.110 5

4. Simplify:

5 2

9 3

5. Simplify:

9

1810

6. Simplify:

36 75

7. Solve: Show work algebraically.

1 1

2 16 3

a


0.095

9. Solve:

99 is what percent of 396?

10. Solve:

6 54y


3

1. Simplify:

4 18 2 5

2. Find the prime factorization:

2310

3. Simplify:

4 2

7 7

4. Simplify:

3

85

5. Amy puts $10,000 in a savings account

that pays 3% annual interest. How much

will she have in her account after 1 year?

6. Simplify:

121 156

7. Find the mean, median mode, and

range:

5, 3, 4, 4, 5, 2, 4, 5, 3


0.4

9. Solve:

133 %

3 of what number is 3?

10. Solve:

9 9t


4

1. Simplify:

3 6 8 7

2. Find the GCF and the LCM:

15, 75

3. Simplify:

8 2

9 9

4. Solve for x:

135º xº

5. Simplify:

2 6

2 13 7

6. Solve:

2 15t

7. Find the mean, median, mode, and

range:

7, 6, 7, 8, 10, 11, 8, 7, 13

8. Write as a decimal and a fraction:

22%

9. Solve:

What percent of 145 is 29?

10. Solve:

3.2 48t


5

1. Simplify:

22 3 4 2

2. Simplify:

3. Simplify:

4 1

5 7

4. Simplify:

1 3

4 22 4

5. Simplify:

1 7

54 16

6. Solve:

12 11 p

7. Solve:

9

6 54

m

8.

An angle measures 40º. What is the

measure of its complement? What is the

measure of its supplement?

9. Solve:

12% of what number is 42?

10. Solve:

1

23

x


6

1. Simplify:

6 10 7 2

2. Find the GCF and the LCM:

72, 84

3. Simplify:

2 1

3 5

4. Simplify:

1 2

59 7

5. Simplify:

3 10

6.

What are the coordinates that are two units

up and three units to the left of the origin?

7.

A triangle has a base of 20 inches and a

height of 10 inches. What is the area of the

triangle?

8. Write as a decimal and a fraction:

45%

9. Find the area and circumference:

8 mi

10. Solve:

10.25.5

y


7

1. Simplify:

9 3 15 12

2. Write 5

8 as a decimal.

3.

What are the coordinates of the point that is

1 unit to the left and 5 units down from

?

4. Simplify:

3 4t

5. Simplify:

13 2

6. Solve:

5 1

12 12m

7. Simplify:

21

29 7

a

8. Write as a percent:

14

25

9. Find the area and circumference:

d = 11m

10. Solve:

5 3

8 4a


8

1.

Billy drove 258.5 miles in 5.5 hours. What

is his average rate of speed?

2. Write 7

9 as a decimal.

3. Simplify:

2 11

7 23 12

4.

A rectangular prism is 2 inches wide by 10

inches high by 5 inches deep. What is the

surface area of this prism? What is its

volume?

5. Simplify:

4 11

6. Solve:

1 17t

7.

Jenny borrowed $15,000 for 3 years at a

simple interest rate of 9%. How much

interest will she pay if she pays off the

entire loan at the end of the 3rd

year? What

is the total amount she will repay?

8. Write as a percent:

7

8

9. Find the area and perimeter:

33 mm

17mm 30 mm 55 mm

10. Solve:

6 12 6x


9

1. Simplify:

6 3 8 5

2. Write 111

112

as a decimal.

3. Simplify:

( 8) ( 3)

4. Simplify:

5 p q

5. Simplify:

20 5

6. Solve:

A quadrilateral has angles that measure 60,

75, 120, and x degrees. What is the value of

x?

7. Solve:

5 6

8.4r

8. Find the percent of the number:

16% of 425

9. Find the area and perimeter:

10 cm 26 cm

?

10. Solve:

7 95

b


10

1. Simplify:

216 3 3

2. Write 2

43

as a decimal.

3. Find the area:

4. Simplify:

5 3c

5. Simplify:

6 13

6. Solve:

25 33m

7. Solve:

18 5

1.25b

8. What is

% of 60?

9. Find the missing length:

a 25 yd

24 yd

10.

9.3 3 5.7z


11

Answers:

Week 1

1) 10 2) 5 3x y 3) 1 11

,0.5,0.8,5 10

4) 13

416

5) 1

6

6) 2 7) 3.33z 8) 39

;78%50

9) 18

10) 15 ft

Week 2

1) 2 2) 32 7 3) 21 13

, ,3.1, 4.110 5

4) 10

27 5) 20

6) 111 7) 1

32

a 8) 19

;9.5%200

9) 25% 10) 9y

Week 3

1) 8 2) 2 3 5 7 11 3) 6

7 4)

24 44

5 5 5)

$10,300

6) 35 7) mean ≈ 3.9; median 4; mode 4 and range =3 8) 2

;40%5

9) 9

10) 1 t

Week 4

1) 6

7 2) GCF = 15 LCM = 75 3)

2

3 4) 45 5)

56 171

39 39

6) 13 t 7) mean ≈ 8.6; median 8; mode 7; range =6 8) 11

.22;50

9) 20%

10) 15t

Week 5

1) 4 2) 3) 23

35 4)

99 312

8 8 5) 12

6) 23 p 7) 1m 8) C = 50 degrees; S=140 degrees 9) 350 10) 1

6x


12

Week 6

1) 12 2) GCF = 12 LCM = 504 3) 13

15 4)

37

63 5) 7

6)(-3,2) 7) 100 in squared 8) 9

.45;20

9) A ≈ 200.96 sq mi C ≈ 50.24 mi 10) 56.1y

Week 7 1) 18 2) 0.625 3) (-4,-4) 4) 3 12t 5) 11

6) 1

3m 7) 87a 8) 56% 9) A ≈ 94.99 sq m C ≈ 34.54 m

10) 15

32a

Week 8

1) 47 mph 2) ≈ .78 3) 3

44

4) SA = 160 in squared 5)

– 15 V= 100 in cubed

6) 16 t 7)I= $4050, Total= $19,050 8) 87.5% 9) A ≈ 748 sq mm

P = 135 mm

10) 3x

Week 9 1) 15 2) 11.92 3)24 4) 5 5p q 5) – 4

6) 7) 7r 8) 68 9) A = 120 sq cm P = 60 cm

10) 10 b

Week 10 1) 10 2) 4.67 3) 140 ft squared 4) 5 15c 5) 19

6) 8m 7) 4.5b 8) 3 9) 7 yd 10) 5z

pre-algebra · 2 u h b b pythagorean theorem = ... 4 18 2 5 y 2. find the prime factorization: ......

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