Name: _______________________________

Advanced 7th Grade Math Summer Assignment The following questions review the topics you should know going into advanced 7th grade math. This assignment will be due on the FIRST DAY OF SCHOOL. You should complete this packet without the use of a calculator. ALL WORK must be shown to receive credit. If you need help in any of the following areas, please use outside resources such as Internet, textbook, and/or peer tutoring. You will have a test covering these topics the first week of school. Please keep in mind while you are working on this review packet that you will not be allowed to use a calculator during the test in August. STUDY & BE PREPARED!!!! Skill #1: Classify Rational Numbers

1) Which diagram below correctly displays the relationships between sets of numbers?

2) Which of the following statements is always true? A) A rational number is a whole number B) A whole number is not a rational number C) Whole numbers are also integers and rational numbers D) A rational number is an integer

Rational Numbers Rational Numbers

Rational Numbers Rational Numbers

Integers

Integers

Integers

Integers

Whole Numbers

Whole Numbers

Whole Numbers Whole Numbers

A) B)

C) D)

3) Which best describes the classification for the following number set? {3 , 6 , 12 , 35 , 56}

I. Rational Numbers II. Integers III. Whole Numbers

A) I. Only B) III. Only C) II. and III. Only D) I. , II. , & III. Skill #2: Order Rational Numbers

4) Which list of integers is in order from greatest to least? A) 24 , 9 , -33 , -24 , -11 B) -11 , -18 , -33 , 9 , 24 C) 24 , 9 , -11 , -24 , -33 D) -33 , 24 , -18 , -11 , 9

5) Which list shows the numbers in descending order? A) !

!, 65% , !

!, 0.6 B) !

!, !!, 0.6 , 65%

C) 65% , !

!, 0.6 , !

! D) !

!, 65% , 0.6 , !

!

Skill #3: Add, Subtract, Multiply, Divide Integers Solve each problem below. Put a box around each answer.

6) (-2)(-3)(-4) 8) 6 – (-2) 10) -9 + 5

7) −8÷−2 9) -8 – (-10) 11) !!"!

Skill #4: Add, Subtract, Multiply, Divide Decimals Solve each problem below. Round your answers to the nearest hundredth. Put a box around each answer.

12) 600 – 8.23 13) 34 + 5.6 + 0.78

14) 9.8 x 0.76 15) 1.1÷ 0.19 Skill #5: Add, Subtract, Multiply, Divide Fractions Solve each problem below. Simplify each answer. Put a box around each answer.

16) 4 !!+ 2 !

!+ 3 !

! 17) 7 !

! – 2 !

!

18) 4 !!x 3 !

! 19) 3 !

!÷ 4 !

!

Skill #6: Order of Operations Solve each problem below. Put a box around each answer.

20) 12+ 32÷ 4− 15 21) 45÷ 3x (10 – 5 + 22)

22) 2− 6 + 12 x 3 23) 102 – 20÷ 2x 3

Skill #7: Converting between fractions, decimals, and percents Solve each problem below. Put a box around each answer.

24) convert 35% to a decimal 25) convert 0.85 to a fraction

26) convert 0.153 to a percent 27) convert !! to a decimal

28) convert 45% to a fraction 29) convert !! to a percent

Skill #8: Ratios and Unit Rates

30) The table shows a proportional relationship between x and y. Which ratio describes the multiplicative comparison of y to x?

X 9 15 24 39 Y 6 10 16 26

A) !

! B) !

! C) !

! D) !

!

31) The ratio of boys to girls in the school musical is 5 to 8. Which of the following shows the possible numbers of boys and girls in the school musical?

A) 30 girls and 48 boys B) 15 boys and 18 girls C) 20 boys and 32 girls D) Not Here

32) Travis lives 195 miles from Dallas. On a normal trip, it takes 180 minutes to drive from his house to Dallas. What is Travis' average rate of speed in miles per hour?

A) 65 miles per hour B) 1.08 miles per hour C) 75 miles per hour D) 15 miles per hour

Skill #9: Conversions within Measurement Systems

33) Tasha drinks 2.5 liters of water each weekday. She drinks a total of 3 liters of water on the weekend. What is the total amount of water, in millimeters, Tasha drinks each week?

A) 15,500 mL B) 0.0155 mL C) 1,550 mL D) 155,000 mL

34) Mrs. Wise bought a case of bottled water for $5.76 to take to her son's class picnic. The case contained 24 half-pint bottles of water. How many fluid ounces of water did Mrs. Wise purchase?

A) 192 fl oz B) 138.24 fl oz C) 96 fl oz D) 384 fl oz Skill #10: Percents & Proportions

35) Of the 350 songs Tanner downloaded, 24% were free. What is the total number of free songs Tanner downloaded?

A) 14 B) 84 C) 326 D) Not Here

36) Lee practices free throws every morning before he goes to school. This morning, Lee made 42 out of 50 free throws. Which equation can be used to find x, the percent of free throws Lee made?

A) !"

!"" = !

!" B) !

!" = !

!""

C) !""

! = !"

!" D) !"

!" = !

!""

Set up a proportion and solve each problem. Put a box around your answer.

37) The PTA is ordering pizza for their next meeting. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many cheese pizzas will they order if they order 15 pepperoni pizzas?

38) The scale on a map is 1 inch = 20 miles. The distance between 2 cities on a map is 2.5 inches. What is the actual distance between the cities?

Skill #11: Expressions and Equations

39) Which of the following represents an expression?

I. Four years less than Tiffany's age II. The sum of a number and six III. Tim saves $30 more than Jeremy IV. The difference of seven and three

A) II. only B) I. & II. only C) III. only D) I, II, & IV. Only

40) Which of the following does NOT represent an equation? A) Twice a number is six B) x + 6 = 10 C) 6 years older than Mike D) -9 + 2 = -7

41) Anna earns $7 each week for her allowance. She saves $2.50 of her allowance each week for a pair of jeans that cost $45. Which equation best represents the number of weeks, w, Anna needs to save for the jeans?

A) !

!.!" = 45 B) 2.50w = 45 C) 7x = 45 D) 45 – w = 2.50

42) Belinda drew a pair of complementary angles. The first angle measured 43o. Which of the following could be used to determine the measure of s, the second angle Belinda drew?

A) s + 43 = 180 B) 43 + s = 90 C) 43 – s = 90 D) 180 – s = 43

43) Which situation is best represented by the equation below? x – 3.5 = 4.75 A) Ava had $4.75. She paid $3.50 for a snack and drink. What is x, the amount of money Ava has left? B) Jen found a scarf with a sale price of $4.75. The discount was $3.50. What is x, the original price of the scarf? C) Randi drew a line segment that was 3.5 inches long. Renee drew a line segment that was 4.75 inches long. What is x, the difference in the lengths of the two line segments? D) Amy completed a math problem in 3.5 minutes. Gabe completed the same problem in 4.75 minutes. The time limit was 5 minutes. What is x, the difference in Amy's time and the time limit? Solve each equation below for x. Put a box around your answer.

44) !!!"

= 7.8 45) x + 2 = 3 !! 46) 3x = -33

Skill #12: Graphs/Tables/Equations

47) Sara uses the table to calculate the cost for her babysitting services. Which equation correctly represents the relationship between the independent and dependent?

Number of Hours (h) Cost (c) 2 $17.00 3 $25.50 4 $34.00 5 $42.50

A) c = h + 8.5 B) h = 8.5c C) c = 8.5h D) h = !.!!

48) Which statement is true about the quantities shown in the table in problem #47? A) The values for c represent the independent quantities and the values for h represent the dependent quantities. B) The values for c represent the dependent quantities and the values for h represent the independent quantities.

49) Which table represents the graph below? 50) Which equation represents the graph below? Skill #13: Coordinate Plane 51) Which ordered pair represents a point inside the circle and is located in Quadrant I? A) (4 , -3) B) (5 , 3) C) (2 , -1) D) (4 , 1)

A) y = 2x + 4 B) y = -2x + 4 C) y = x + 4 D) y = 2x – 4

52) Which best describes the signs of all coordinates located in Quadrant II? A) (-x , -y) B) (-x , +y) C) (+x , -y) D) (+x , +y)

53) The point (-4 , -8) would be located in which Quadrant? A) Quadrant I B) Quadrant II C) Quadrant III D) Quadrant IV Skill #14: Triangle Properties

54) Gracie has multiple stacks of different lengths to build a triangle for a class project. Which 3 lengths could Gracie choose to build the triangle?

A) 10 cm, 22 cm, 4 cm B) 12 cm, 5 cm, 17 cm C) 13 cm, 6 cm, 6 cm D) 11 cm, 25 cm, 15 cm

55) If two angles of a triangle measure 40o and 25o, what is the third angle measure? A) 115o B) 25o C) 40o D) 90o

56) Triangle JKL is shown below. If KL = 12 cm, JK = 10 cm, and JL = 11 cm, which list shows the angles in order from least to greatest, according to their measures?

Skill #15: Area

57) Find the area of the triangle below. Put a box around your answer. Be sure to label your answer properly.

6 cm

8 cm

58) Find the area of the trapezoid below. Put a box around your answer. Be sure to label your answer properly.

59) Mary needs 108 square inches of metal to make a yield sign. If the height of the sign is 12 inches, how long is the top edge of the sign? Put a box around your answer. Be sure to label your answer properly.

60) If the area of a parallelogram is 45 square inches and the height is 9 inches, how long is the base? Put a box around your answer. Be sure to label your answer properly.

Skill #16: Volume

61) Find the volume of the prism below. Put a box around your answer. Be sure to label your answer properly.

62) An aquarium holds 1440 cubic inches of water. The area of the base of the aquarium is 144 square inches. What is the height of the water in the aquarium? Put a box around your answer. Be sure to label your answer properly.

Skill #17: Mean, Median, Mode, Range Find the mean, median, mode and range of the following set of test scores. 87, 90, 77, 83, 99, 94, 93, 90, 85, 83 63) Mean ___________ 64) Median __________ 65) Mode __________ 66) Range __________ Skill #18: Graphs Use the box plot below to answer questions 67 – 69. Answer each one as True or False

67) The median of the data is 56. ____________

68) The range of the data is 9. ____________

69) One-half of the data ranges from 56 to 77. ____________

Use the dot plot to answer questions 70 – 72. Put a box around each answer.

70) What is the mode of the set of data?

71) What is the range of the set of data?

72) What is the median of the set of data?

73) The graph below show the shoe sales of Shane's Shoe Shop last month. If he sold a total of 80 pairs of shoes last month, how many of those were Reebok? Put a box around your answer.

Skill #19: Finance

74) What is one advantage of using a credit card over a debit card to pay for a purchase? A) Using a credit card is never an advantage over using a debit card. B) Using a credit card allows the purchase to be paid over time so it is less expensive. C) Using a credit card is easier than using a debit card. D) Using a credit card responsibly builds credit history, which can positively impact credit worthiness.

75) Wendy wants to improve her credit score. Which of the following actions will help Wendy improve her score?

A) Pay the minimum amount due on credit cards and loans. B) Close any accounts that have a zero balance. C) Make all monthly payments on or before the due date. D) Take out additional loans to pay of current debt. Use the information below to answer questions 76 – 78. Ellen is graduating from high school. She will attend a private, 4-year university and study to become a Certified Public Accountant. The annual cost for her tuition, room and board, and books is $22,255. Ellen's parents have a college fund with $54,000 to help with the costs. Ellen received a scholarship for $500 per semester for four years.

76) What is Ellen's annual cost after her parents' contribution and her scholarship? A) $31,020

B) $8,255 C) $7,755

D) $8,755

77) What are Ellen's options for paying the remainder of her college tuition each year? A) Grants and student loans only

B) Grants, additional scholarships, and loans only C) Student or parent loans only

D) Grants and additional scholarships only

78) Which method of paying the remainder of her college tuition each year will cost Ellen the least?

A) Loans, because she does not have to begin repayment until 6 months after graduation B) Scholarships, because there are no eligibility requirements C) Work-study program, because she earns her own money by working on campus

D) Grants, because she is not required to repay the money given to her

Skill #20: Distributive Property 79) Which expression is equivalent to 3(x + 6)? A) 3 + x + 3 + 6 B) 3x + 6 C) 3 + x + 6 D) 3x + 18 80) Which expression is equivalent to -2(x – 4)?

A) -2x – 4 B) 2x + 8 C) -2x + 8 D) -2x – 8