St. Michael Catholic School. Entering Pre-Algebra (7 th grade) Summer Mathematics Packet

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St. Michael Catholic School Entering Pre-Algebra (7 th grade) Summer Mathematics Packet Dear Students: The purpose of this packet is to review 6 th grade math concepts as you look forward to 7 th

A calculator should not be used to complete this packet. This packet (and your loose-leaf with all work shown) will be due August 21, 2018. It will be counted as a minor grade.

1 St. Michael Catholic School Entering Pre-Algebra (7 th grade) Summer Mathematics Packet Dear Students: The purpose of this packet is to review 6 th grade math concepts as you look forward to 7 th Grade Pre-Algebra 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 21, It will be counted as a minor grade. Here are some websites you might find useful in completing your summer assignment: Find each product or quotient. Use order of operations to solve the following: Match each equation on the left with the property it illustrates on the right. 9) = A) Associative Property of Multiplication 10) 8 3 = 3 8 B) Identity Property of Addition 11) C) Commutative Property of Addition

12) (5 + 3) + 8 = 5 + (3 + 8) D) Distributive Property 13) 0.43 + 0 = 0.

Simplify the following: Write in simplest form: Find each unit rate, round answers to the nearest

2 12) (5 + 3) + 8 = 5 + (3 + 8) D) Distributive Property 13) = 0.43 E) Associative Property of Addition 14) (6 3) 5 = 6 (3 5) F) Commutative Property of Multiplication Simplify the following: Write in simplest form: Find each unit rate, round answers to the nearest cent: 39) 12 ounces of cereal for $ ) 8 ounces of rice for $1.95 Write each percent as a decimal and as a fraction in simplest form:

3 Solve each proportion:

Solve the following equations; be sure to check your answers: For each of the following, write an algebraic equation. Then solve these percent problems: 59) What number is 25% of 80?

4 Solve the following equations; be sure to check your answers: For each of the following, write an algebraic equation. Then solve these percent problems: 59) What number is 25% of 80? 60) 92 is 15% of what number? 61) A $45 shirt is on sale for a 15% discount. How much will the shirt cost on sale? 62) Mary bought 3 DVD s at a cost of $17.99 each. What will she pay including 8.25% sales tax? Basic Geometry and Using Formulas. 63) Find the perimeter. 64) Find the area A = bh 8

Find the Surface Area and Volume of the prism. If necessary, round to the nearest tenth. SA Formula = & Volume = l w h 65) SA = 66) Volume = Find the Surface Area and Volume of the Cylinder.

5 Find the Surface Area and Volume of the prism. If necessary, round to the nearest tenth. SA Formula = & Volume = l w h 65) SA = 66) Volume = Find the Surface Area and Volume of the Cylinder. If necessary, round to the nearest tenth. SA = 2πr 2 + 2πrh & Volume = πr 2 h 67) SA = 68) Volume = 69) Find the area of the parallelogram 70) Find the area of to the nearest tenth the prism to the tenth. SA =

73) Triangle XYZ has side lengths of 4, 4, and 4. What type of triangle is it?

6 Classify the triangle by its sides scalene, isosceles or equilateral. 71) Triangle MOP has side lengths of 12, 12, and 16. What type of triangle is it? 72) Triangle ABC has side lengths of 6, 10, and 12. What type of triangle is it? 73) Triangle XYZ has side lengths of 4, 4, and 4. What type of triangle is it? Circles find the circumference and area for the following circles to the nearest tenth., 74) 75) Find the complementary and supplementary angle for the following: 76) 27⁰ 77) 84 ⁰ Fill in the chart and graph the following equations: 78) Input (x) Output (y) (x,y,)

79) Input (x) Output (y) (x,y,) -2-1 0 1 2

7 79) Input (x) Output (y) (x,y,) Convert the following. You must show your conversions on your loose leaf. 80) 4 qt = gal 81) 84 fl oz = c 82) 120 lb = T 83) 5 ft = miles 84) 8 ft = in

8 Using Dimensional Analysis, convert each of the following metric measurements: 85) 1,500 cm = mm 86) 120 g = kg 87) 55 km = m 88) 45 g = mg

Solve the following proportions: Subsets of real numbers and number sense 95) List all the perfect squares between 1 and 225 96) What is the smallest prime number? The smallest composite number?

9 Solve the following proportions: Subsets of real numbers and number sense 95) List all the perfect squares between 1 and ) What is the smallest prime number? The smallest composite number? 97) What is the definition of an integer? Give an example. 98) What is the definition of a rational number? Give an example. 99) Round to the nearest hundredth. 100) Round to the nearest hundredth. 101) Divisibility. What are the 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 use division ladders. 102) 14, ) 57, ) 54, ) 143, 169 For the following, find the prime factorization use factor trees. 106) ) 225

10 108) ) ) 535

Big Apple Academy 2017 Mathematics Department

Big Apple Academy 2017 Mathematics Department Big Apple Academy 201 Mathematics Department Grade Homework Math Package It is important that you keep practicing your mathematical Knowledge over the summer to be ready for 5 th grade. In this Package