Temperature is measured in degrees Fahrenheit in the ...



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Name Date_______________

7th Grade Math HW, Summer Packet Team______________

7th Grade Math (rising 8th)

Summer Packet

Directions:

Every WEEK you should complete one page (front and back) to stay on schedule.

SHOW WORK for every problem! (

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Part 1: Fraction Operations

|5/6 x 1 1/3 |5/8 ÷ 5/16 |5 1/3 ÷ 1/6 |7/8 + 1/4 |8/9 – 2/3 |

|4 1/3 ÷ 5/6 |8 – 2 ½ |7 1/3 + 4 8/9 |1 1/3 – ¾ |3 ½ x 1 2/3 |

|4/5 – 7/20 |5 – 8/11 |3 ¼ x 2/5 |6/7 ÷ 1/14 |3 ½ + 3 7/10 |

YOU MAY NOT USE A CALCULATOR FOR THIS PAGE. SHOW ALL WORK.

Part 2: Ratios & Proportional Reasoning

YOU MAY USE A CALCULATOR FOR THIS SECTION. SHOW ALL WORK.

1. Hilda runs 2/3 of a mile in a half-hour. If she continues to run at a constant rate, how many miles will she run in 3 hours?

a. 4 miles

b. 2 miles

c. 2/9 miles

d. 9 miles

2. In 1/8 of an hour, Ms. Wolf can grade 1/3 of a stack of papers. How many hours will it take her to grade 2 stacks?

a. ¾ hour

b. 5 1/3 hours

c. 11/24 hours

d. None of the above.

3. An object that weighs 5 pounds on Earth will weigh 2 pounds on Mercury. The Statue of Liberty weighs 2,250 pounds. What would it weigh on Mercury?

a. 450 pounds

b. 900 pounds

c. 1,125 pounds

d. 5,625 pounds

4. Danielle runs 1/5 of a mile in 4.5 minutes. If she continues at the same speed, how long will it take her to run two miles?

a. 22.5 minutes

b. 45 minutes

c. 0.09 minutes

d. 0.9 minutes

5. The ratio of students who own a cat to those who own a dog is 4:3. If 36 students own dogs, how many students own cats?

a. 48           

b. 36           

c. 27           

d. 18

6. The ratio of students who prefer Coke to Pepsi is 5 out of 7. If 84 students were surveyed, how many students prefer Pepsi?

a. 72        

b. 60           

c. 49           

d. 24

7. When surveyed, the ratio of students who preferred Science class to English class was 5:4. If 90 students were surveyed, how many students chose Science?

a. 72           

b. 60           

c. 50           

d. 40

8. In a U.S. Poll 8 out of 12 citizens said they were happy with the job Obama is doing. If 126 people were surveyed…

a. How many people were happy with Obama?

b. How many were not?

9. Danny needs 30 feet of rope.  The rope he wants to buy is sold by the yard.  He knows that there are 3 feet in 1 yard.  How many yards should he buy?

a. 10

b. 20

c. 60

d. 90

10. Khajaani knows that 16 tablespoons are the same as 1 cup.  He needs to measure ¾ cup, but all he has is a tablespoon.  How many table spoons should Khajaani use?

a. 4

b. 8

c. 12

d. 21 1/3

Part 3: Expressions & Equations

1. Find the perimeter of this triangle:

2. Find the perimeter of the triangle below:

3. Which expression does NOT equal the perimeter of the rectangle shown below?

a) (x + 5) + x + (x + 5) + x

b) 4x + 10

c) x + x + x + x + 5 + 5

d) x + x + 5

4. Find the perimeter of the rectangle to the right.

5. Find the perimeter of the triangle below. What kind of triangle is it?

Part 4: Decimal Operations

YOU MAY NOT USE A CALCULATOR FOR THIS PAGE. SHOW ALL WORK.

|783.2 x 4.1 |92 x 5.5 |0.019 x 0.3 |0.07 x 0.4 |3.1 x 0.6 |

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|92.4 x 7.5 |202.1 x 0.8 |6.55 x 12 |3.55 ( 0.55 |25.9 ( 0.21 |

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|4.78 ( 0.4 |52.4 ( 12 |1.56 ( 3.4 |3.64 ( 0.2 |56.9 ( 2.2 |

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Part 5: Solving Equations

YOU MAY NOT USE A CALCULATOR FOR THIS PAGE. SHOW ALL WORK.

Solve for the variable in each example below.

|x + 9 = 37 |n – 5 = 9 |w + 5 = -113 |n – 13 = 10 |

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|k + -10 = 30 |z – 5 = -7 |j + 27 = 43 |z – 135 = 41 |

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Solve for the variable in each example below.

|4a = 32 |[pic] = 3 |9m = 4.5 |[pic] = 15 |

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|3v = -105 |[pic] = 200 |17m = 85 |[pic] = 12 |

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Part 6: Rational Numbers

YOU MAY NOT USE A CALCULATOR FOR THIS SECTION. SHOW ALL WORK.

1. The NY Giants running back loses 5 yards and then gains 5 yards on the next play. How many yards did he gain overall? Model this on the number line below.

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2. The overall change in Isaiah’s score in the first two rounds of a video game is 0 points. If his scored changed by -22 points in the first round, by how much did his score change, by how much did his score change in the second round? Explain how you know.

3. Model 4 + (-7) on the number line below.

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4. Charles pours out ¾ cup of milk from a pitcher. Then he pours out another ½ cup from the pitcher. How many cups of milk does he pour out altogether?

5. Find the difference and model it on the number line. -6 – 2

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Part 6: Rational Numbers, CONTINUED

|5 – 17 |46.2 – -0.27 |-0.6 – 0.6 |

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|19 – 6.92 |[pic] |[pic] |

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|[pic] |[pic] |[pic] |

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|9(0.02) |-0.6(4) |-5.3(-8.41) |

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m. Jamiya jogged 4.8 miles each day for 21 days last month. How many miles did she jog last month?

n. Cheena has ¾ yard of fabric. She cuts the fabric into pieces that are each 1/8 yard long. How many pieces of fabric does Cheena have?

Part 7: More Rational Numbers

YOU MAY NOT USE A CALCULATOR FOR THIS PAGE. SHOW ALL WORK.

1. -2.4 ÷ -1.2 2. -4 ÷ ½ 3. [pic]

4. [pic] 5. [pic] 6. [pic]

7. A mountain climber explored a cliff that is 225 yards high in 5 equal trips. How many yards was one trip?

8. At the end of each day, the cashier at the local Starbucks counts all of the cash in the register to make sure they have the correct amount. The chart below shows how far off the register was each day. Find the average difference in cash for the entire week.

Day |Mon |Tues |Wed |Thurs |Fri |Sat |Sun | |Difference in Cash |+ $6.40 |+ $2.30 |0 |- $16.10 |- $2.30 |+ $5.00 |- $7.50 | |

9. A football team must move the ball forward at least 10 yards from its starting point to make a first down. If the team has 2 losses of 3 yards each and a gain of 14 yards, does the team make a first down?

10. Jamire has $625 in his checking account. He writes two checks for $23 each and then makes one deposit of $146. What is his final balance?

Part 8: Mixed Review

YOU MAY USE A CALCULATOR FOR THIS PAGE. SHOW ALL WORK.

1. A company’s stock begins the week with a price $43.85 per share. The price changes by $2.70 each day for 2 days. Then the price changes by -$1.10 each day for 2 days. On the last day, the price changes by -$4.45. What is the price per share of the company’s stock after those five days?

2. A store owner paid $15 for a book. She marked up the price of 40% to determine its selling price. What is the selling price of the book?

3. In an online media store, downloaded songs cost $3 each and books cost $9 each. Taslimah paid $7 in sales tax when she purchased 15 songs and 3 books. Find how much Taslimah spent in total, including sales tax.

4. Simplify 3·5 – 45 ÷ 32

5. The regular price of an iPod mini is $79.99 at Best Buy. This week it is on sale for 25% off. What is the sale price?

6. Shemille earns $8 per hour at a yogurt store. She receives a 5% raise. What are her new hourly earnings?

Part 9: Open Ended Response

Mrs. Lytle is buying snacks for the 7th grade trip to Boston. At Costco, she finds a deal where she can buy a “multi-pack” of cereal boxes. Each “multi-pack” comes with 2 boxes of Apple Jacks and 7 boxes of Frosted Flakes. The unit price of a box of Apple Jacks is $0.75 and $0.90 for Frosted Flakes, although individual cereal boxes are not for sale.

• There are 80 students in the seventh grade. Each student must receive one box of cereal – will a budget of $70 be enough?

• Show all work.

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