Summer Math Packet for Students Going Into Pre-algebra 8

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1 Summer Math Packet for Students Going Into Pre-algebra 8 Purpose: The purpose of this packet is to review skills that are necessary for the student to have attained in order to be successful in the math course they are entering. You are expected to come in with certain understandings that are prerequisite to Prealgebra 8. Instructions: Do all problems on your own paper showing all work in a neat and organized manner. You may receive help from any resource you want (websites such as math.com are great) as long as you understand how to do each problem. This packet must be completed and turned in the first day of school in order to receive 2 points extra credit for the first quarter. Finally, it is suggested to not wait until the last two weeks of summer to begin on this packet. If you spread it out, you will most likely retain the information much better. Once again this is due, completed with quality, on the first day of class. It is intended to help you be successful in the coming year.

2 Name: Date: Summer Math Packet for Students Entering Pre-Algebra Multiple Choice: Please circle the correct answer and fill the letter in the blank. Do not use a calculator.. Order the integers from least to greatest. 5,,,,,,, 5, 5,,,,,, 5,,,,,, 5 2. Find the sum: 9 20 b g Find the difference: Find the product: b g Find the quotient: Name the point at 2, b g. C y x D B A 0 A B C D 2

3 7. Find the difference: Solve the equation. v Name the point at 2, 4 b g. y 0 N L. Solve the equation. q O 0 x M 0 O L N M 9. Solve the equation. 0 m Find the greatest common factor of the numbers. 6, Find the product:

4 4. Solve the equation. 7x Find the quotient: Solve the proportion: 9 e A number cube with the numbers through 6 is rolled. Find the probability of rolling the number Find the percent of the Number: 25% of Write the decimal as a percent: % 0.256% 2.56% 25.6% 20. Write the percent as a decimal: 95%

5 2. Solve the proportion: x Evaluate the expression: x y when x = 22 and y = None 2. Solve the equation: 8 y = Complete the statement: Round the decimal to the nearest hundredth: Find the quotient None 27. The Seattle Seahawk s Football stadium has seating for 6.7 x 0³ fans. Write this number in standard notation. 67, ,700 < > = None 5

6 28. Solve the equation: 2 c Find the sum or difference: Solve the equation: 5x Solve the equation: g Simplify the expression: 5x x 6x 6x 2 x 6 6x Find the quotient: Find the difference:

7 5. Find the sum: b g 6. Use mental math to find the sum Find the product Find the product: Find the quotient: 2 b g Estimate. Round to the nearest whole number before you add, subtract, or multiply about 2 about about about about 46 about 48 about 52 about Find

8 4. What metric measure best describes the amount of juice is a full pitcher? kl kg L 50 ml 44. Find the range from 72 to (-7) Order from least to greatest: -0., 0.25, -/2, , -0.7, -0., -/2 -/2, -0.7, -0., , 0.25, -/2, /2, -0., -0.7, Which is the best buy? $24.24 for 2 candy bars $8.09 for 9 candy bars $6.2 for 8 candy bars $22. for candy bars 47. Find the difference: You owe $5 to a friend. Write an integer to represent this situation none of the above 49. Solve the equation. 5x + 8 = Find a number that is NOT a solution of the inequality. x 9 < none of the above 5. Tell which number is prime: 4, 29, 5,

9 52. A store sells packages of pencils. Which package offers the best unit price? pencils for $ pencils for $ pencils for $.64 5 pencils for $ Find a ratio equal to 6 : 7 4 : 2 6 : 4 2 : 28 2 :4 55. Write the decimal as a percent % 5% 50% 0.5% 56. Find 70% of Classify the angle as acute, right, obtuse, or straight. 54. Find a ratio equal to 44 : : 4 40 : 4 : 4 : 27 acute straight obtuse right 58. Which of the following is an acute angle? 9

10 When simplifying an expression, you perform operations inside grouping symbols first. a.) always b.) sometimes c.) never A rational number is a real number. a.) always b.) sometimes c.) never The opposite of a negative number is negative. a.) always b.) sometimes c.) never The product of two negative numbers is positive. a.) always b.) sometimes c.) never The sum of two negative numbers is positive. a.) always b.) sometimes c.) never Short Answer: Please work out the problem and CIRCLE your answer. You must show all of your work for full credit. Please use a separate piece of notebook paper.. Describe the pattern. Then write the next three numbers. 6, 9, 2, 45,.. 2. Write the number as a power and as repeated multiplication: 27. Evaluate the expression: 2 + (6-8) 2. Describe in words the order that you would solve the problem. 4. Write an equation for times what number equals Find the perimeter and area of the rectangle or square with the given dimensions. L = 2 feet; w = feet. 6. Find the perimeter and are of the rectangle or square with the given dimensions. S = 7 centimeters 7. You purchase 4 movie tickets that cost a total of $ How much did one movie ticket cost. 8. Find the mean, median, mode, and range of the data. 5, 6, 4, 2,,,, 5, 6, 0, 9, 8, 9. Find the greatest common factor of 6, 64. 0

11 0. Find the least common multiple of 2, 20, and 24.. Find the sum or difference: Find the product: Fill in the following chart. FRACTION DECIMAL PERCENT 2 ¾ % 27%

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