Entering 8th Grade Summer Packet

[Pages:9]St. Michael Catholic School Entering Algebra 1 (2017-2018 8th grade)

Summer Mathematics Packet

Dear Students: The purpose of this packet is to review 7th grade pre-algebra concepts as you look forward to Algebra 1 next year. Please show all your work for each problem on loose leaf in an organized manner.

Please put your final answer on this packet. A calculator should not be used to complete this packet.

This packet (and your loose-leaf with all work shown) will be due August 16. It will be counted as a grade.

Here are some websites you might find useful in completing your summer assignment: 1. 2. 3. 4. 5.

Use order of operations to solve the following:

Simplify the following:

Write in simplest form:

Write each fraction as a decimal:

Write as a percent: Write each percentage as a fraction and a decimal: Write each decimal as a percent and as a fraction or mixed number: Solve each equation ? be sure to check your answers:

For each of the following write an algebraic expression. Then solve each equation:

50) Eight times a number, increased by 6 is 62. What is the number?

51) Number c divided by 0.4 is 10. What is the number?

52) One half of a number is equal to 14. What is the number?

Solve each of the following: 53) What number is 15% of 60? 54) 66 is 11% of what number? 55) 308 is what percent of 350? 56) A $150 jacket is on sale for a 25% discount. How much will the jacket cost on sale? 57) Jim bought 3 CD's at a cost of $14.99 each. What will he pay including 8.25% sales tax?

Evaluate each expression given that:

58)

__________

_______________

59)

__________

_______________

60)

__________

_______________

61)

__________

_______________

Basic Geometry and Using Formulas. 62) Find the perimeter.

44 cm

22 cm

64) Find the area. A = ?bh

16 ft.

6 in. 11 in.

66) Find the circumference to the nearest tenth.

3 cm

63) Find the area to the nearest tenth A = ?bh

42 ft.

8 ft

65) Find the area. A = bh 1.2 m

2.1 m 67) Find the area

to the nearest tenth.

10 cm

68) Find the area to the nearest tenth.

8.3 ft 35 ft

69) Find the area to the nearest tenth. SA =

18 ft.

9 ft.

Find the Surface Area and Volume of the Cylinder. If necessary, round to the nearest tenth. SA = 2r2 + 2rh & Volume = r2 ? h

70) SA =

_______________

71) Volume =

___________________

r = 8 cm h = 14 cm

72. Write and solve an equation to find the value of T. The triangle = 180

Fill in the chart and graph the following equations: 73)

Input (x) -2 -1 0 1 2

Output (y)

(x,y,)

74)

Input (x) -2 -1 0 1 2

Output (y)

(x,y,)

75)

Input (x) -2 -1 0 1 2

Output (y)

(x,y,)

76)

Input (x) -2 -1 0 1 2

Output (y)

(x,y,)

Subsets of real numbers and number sense

77) List all the perfect squares between 1 and 400. 78) What is the smallest prime number? The smallest composite number? 79) What are integers? Give an example of an integer. 80) What are rational numbers? Give an example of an irrational number. 81) What are irrational numbers? Give an example of an irrational number. 82) What does absolute value mean? 83) Divisibility. What are the divisibility rules for 2, 3, 4, 5, 6, 9, & 10? List the rules on your

loose-leaf.

Greatest Common Factor (GCF) and Least Common Multiple (LCM) For the following, find the GCF and LCM. 84) 14 , 35 85) 57, 84 86) 54, 144 87) 143 , 169

For the following, find the prime factorization ? use factor trees. 88) 84 89) 226 90) 236 91) 540

Convert the following. You must show your conversions on your loose leaf. 92) 8 qt = ______ gal 93) 96 fl oz = _____ c 94) 180 lb = _____ T 95) 9 ft = ______ miles 96) 7 ft = _______ in 97) 3 qt = _______ gal

Using Dimensional Analysis, convert each of the following metric measurements:

98) 2,500 cm = __________ mm

99) 150 g = __________ kg

100) 65 km = ___________ m

101) 65 g = _________ mg

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