7th summer packet - point pleasant beach school …...this summer assignment will count as the first...

Name: ________________________________

Summer Math Assignment For students entering 7th Grade

This packet is designed to help you review the concepts and problem solving skills that you have already learned throughout the 6th Grade to help you prepare for success in the 7th Grade. Please show all work on the provided work pages. Points will be deducted for work not shown. This summer assignment will count as the first grade in your 7th grade math class. Enjoy your summer! Think about math often! See you in September! 6th, 7th, & 8th Grade Math Teachers

Choose the best answer. 1. When Curt’s family got to Houston,

the odometer on their car read 415 miles. When they began the trip, it read 257 miles. To find about how many miles they drove, estimate 415 − 257 by rounding to hundreds. A 400 − 250 = 150 B 400 − 300 = 100

2. Estimate 648 + 33 + 114 to the nearest ten. A 780 C 880 B 790 D 890

3. The table below shows the rentals at a video store before and after the nominations for “best picture” as well as the rental figures in the month after the awards ceremony.

Before Nominations 533 After Nominations 987 After Awards Ceremony 1802

Estimate to the nearest hundred the increase in rentals after the nominations for “best picture.” A 400 C 800 B 500 D 1300

4. Estimate 93 + 125 by rounding to the nearest ten.

A 95 + 125 = 220 B 90 + 130 = 220

5. What is 6 × 6 × 6 written in exponential form? A 3 × 5 C 63 B 216 D 36

6. What is 34 written as repeated multiplication? A 3 × 4 B 4 × 4 × 4 C 3 × 3 × 3 × 3 D 34 × 34

7. Jake tells a joke to 3 people and each of those people tells the joke to 3 more people, and so on. Which expression shows the number of people that will hear the joke after the fourth round? A 34 B 43

CHAPTER

1

8. What is the value of 32 − 8 ÷ 4?

A 6 B 30 9. What is the value of 5 × 4 + 6?

A 26 B 50 10. What is the value of (14 + 6) ÷ 2 + 3?

A 4 C 13 B 10 D 25

11. Use mental math to find the product of 2 × 3 × 2. A 7 C 12 B 8 D 24

12. (18 + 13) + 7 = 18 + (13 + 7) is an example of which property? A Commutative B Associative

13. Use mental math to find the sum of 13 + 15 + 12. A 39 C 49 B 40 D 50

14. Seedlings are packed 36 plants to a tray. Mrs. Singh wants to plant 28 trays of seedlings. How many seedlings will she plant? A 64 C 720 B 70 D 1,008

15. Calvin bought a comic book at the Cosmic Bookshop for $2.99. He gave the clerk $5. How much change did he receive? A $2.01 C $3.99 B $3.01 D $7.01

16. At the Garden Club lunch, 50 plants were on sale for $15 each. Only 3 plants remained at the end of the lunch. How much money did the club make selling plants? A $675 B $705

17. Akiba spent $6.00 and bought 3 baseball cards. What did each card cost? A $2.00 C $3.00 B $2.50 D $6.00

18. Identify the pattern in this sequence: 2, 7, 17, 22, 32, 37 A +5, −10 B +5, +10

19. Find the next two terms in this sequence: 1, 3, 5, 7, ... A 1, 3 C 9, 11 B 5, 3 D 13, 15

CHAPTER

1

Name________________________________________ 7th Grade Summer Packet 2012

Choose the best answer. 1. Evaluate 6h + 2 for h = 1.

A 6 C 10 B 8 D 18

2. Find the missing value in the table. a 9 10 11

a − 5 4 ? 6 A 4 C 6 B 5 D 7

3. The area of a rectangular deck can be represented by l × w, where l is the length and w is the width. What is the area of the deck if l = 15 ft and w = 10 ft? A 25 ft2 B 150 ft2

4. Reda needs r colored pencils in addition to the ten pencils she already has. Write an expression to show the number of pencils Reda needs. A 10 ÷ r C 10 + r B 10 − r D 10r

5. Which expression matches the phrase “12 divided by r”? A r ÷ 12 B 12 ÷ r

6. Which of these is a numerical expression for 27 plus 14? A 27 + 14 B 27 − 14

7. The top row of this table contains even numbers; the bottom row contains odd numbers. Which expression completes the table? t 2 4 6 8 ? 1 3 5 7 A t − 1 C 2t B t + 1 D −1

8. What is an expression for the sequence in the table?

Position 1 2 3 4 5 n Value of Term 2 4 6 8 10

A n + 2 B 2n 9. Which expression completes the

table? a 1 2 3 4 ? 1 3 5 7 A 2a − 1 B a + 1

10. For which equation is a = 3 the solution? A a + 6 = 9 B 9a = 12

11. For which equation is t = 18 the solution? A 10 − 8 = t C 10 = t − 8 B 10 = 8 − t D 10 = t

CHAPTER

2


12. The middle school students washed

k cars; the high school students washed 23 cars. How many cars did the middle school students wash? Use the equation k + 23 = 30. A 7 B 53

13. What is the solution to the equation d + 15 = 25? A d = 10 B d = 40

14. What is the solution to the equation 13 + m = 21? A m = –8 C m = 18 B m = 8 D m = 34

15. Marcus is 8 years old. Marcus is 2 years younger than his sister Leah. Solve y − 2 = 8 to find Leah’s age. A y = 6 C y = 9 B y = 7 D y = 10

16. What is the solution to the equation 10 = w − 8? A w = 2 C w = 22 B w = 18 D w = 28

17. What is the solution to the equation g − 9 = 16? A g = 25 B g = 27

18. What is the solution to the equation 4j = 24? A j = 2 C j = 12 B j = 6 D j = 20

19. A blanket has an area of 9 square feet and a width of 3 feet. Use 3f = 9 to find its length. A 3 ft C 9 ft B 6 ft D 18 ft

20. What is the solution to the equation 2a = 6? A a = 2 C a = 4 B a = 3 D a = 5

21. What is the solution to the equation 16 ÷ x = 8? A x = 2 C x = 6 B x = 4 D x = 8

22. Lada’s three older brothers each drove an average of 7 hours. How many total hours was the trip? A 10 B 21

23. What is the solution to the equation 3 = y ÷ 6? A y = 2 B y = 18

CHAPTER

2


Choose the best answer. 1. Write 4.24 in expanded form and in

word form. A 4 + 0.2 + 0.4; four and two

hundred four tenths B 4 + 0.2 + 0.04; four and

twenty-four hundredths 2. Which number is the greatest?

A 2.02 C 2.20 B 2.15 D 2.25

3. Order the decimals from greatest to least. A 5.8, 5.08, 5.78 B 5.08, 5.78, 5.8 C 5.8, 5.78, 5.08 D 5.08, 5.8, 5.78

4. Estimate by rounding to the nearest tenth: 5.56 + 2.1. A 5.0 + 2.0 = 7.0 B 5.6 + 2.1 = 7.7

5. Which product gives the closest estimate of 3.2 × 6.9? A 3 × 7 C 4 × 6 B 3 × 9 D 4 × 7

6. Estimate a range for the sum: 7.6 + 2.3 + 6.7 A 15 to 16 B 15 to 18 C 17 to 18 D 18 to 19

7. Add 2.2 + 3.4. A 5.6 B 56

8. Evaluate 5.9 − n for n = 1.4. A 4.5 B 45

9. Multiply 578 × 100. A 5.78 B 57,800

10. Write 8.7 × 102 in standard form. A 0.087 B 87 C 870 D 8,700

11. Write 43,800 in scientific notation. A 4.38 × 104

B 4.38 × 56

C 4.38 × 106

D 4.38 × 107

12. Find the product: 4 × 3.2. A 0.128 C 12.8 B 1.28 D 128

13. Find the product: 0.2 × 4.2. A 0.84 B 8.4

14. Evaluate 3m for m = 7.3. A 21.9 B 219

CHAPTER

3


15. Find the quotient: $24.75 ÷ 3.

A $8.00 B $8.25

16. Evaluate 8.4 ÷ j for j = 4. A 2.1 B 4.4 C 21 D 33.6

17. It costs $45.60 for 3 rolls of wallpaper. What is the cost per roll? A $15.20 B $15.60

18. A piece of yarn is 14.4 in. long. How many strips, each 3.6 in. long, can be cut from the yarn? A 2 B 3 C 4 D 5

19. Find the quotient: 6.02 ÷ 4.3. A 1.4 B 1.72 C 14 D 559

20. Estimate the quotient 12.76 ÷ 2.2. A 6 B 12 C 24 D 60

21. An eraser costs $2.00. What is the greatest number of erasers that Lucinda can buy with $12.00?

A 4 C 12 B 6 D 2

22. Mrs. Makato is planting her garden. She has 5 different types of vegetables. She wants to have one row for each vegetable. If the garden is 7.5 meters wide, how wide should each row be? A 1 m C 2 m B 1.5 m D 2.5 m

23. Joanna wants to buy juice drinks for 10 people. If juice drinks come in packages of 6, how many packages does she need to buy? A 1.4 packages B 2 packages

24. Solve the equation: w − 2.1 = 4.7. A w = 2.6 B w = 6.8

25. Solve the equation: 3m = 16.8. A m = 5.6 B m = 13.2 C m = 19.8 D m = 50.4

26. Solve the equation: f + 4.2 = 7.9. A f = 3.7 B f = 12.1

CHAPTER

3


Choose the best answer. 1. Which is a prime number?

A 11 C 21 B 15 D 25

2. By which numbers is 60 divisible? A 1, 3, 5, 6, 7, 12, 16, 30 B 1, 3, 4, 5, 6, 12, 15, 20

3. What are the factors of 20? A 1, 2, 4, 5, 10, 20 B 1, 2, 3, 5, 12, 20

4. What is the prime factorization of 60? A 2 × 3 × 5 B 22 × 3 × 5 C 2 × 32 × 5 D 2 × 3 × 52

5. What is the GCF of 24 and 16? A 2 C 6 B 4 D 8

6. What is the GCF of 18 and 30? A 3 B 6

7. Write 0.5 as a fraction.

A 12

B 15

8. Write 3.25 as a mixed number in simplest form.

A 3

1125

C 3 14

B 3 1

25 D

32510

9. Write 34

as a decimal.

A 0.3 C 0.4 B 0.34 D 0.75

10. Write 2 1

10 as a decimal.

A 0.1 C 2.5

B 2.1 D 2110

11. Which is NOT equivalent to 46

?

A 23

C 8

12

B 1030

D 4060

CHAPTER 4


12. Write 127

as a mixed number.

A 1 27

C 1 57

B 1 13

D 2

13. Write 4 34

written as an improper

fraction.

A 194

B 434

14. Compare 78

_____ 23

.

A > B < 15. Which set of numbers is ordered

from least to greatest?

A 38

, 2

10 B

15

, 27

16. Which number is greatest?

A 49

C 78

B 34

D 89

17. Add 18

+ 38

.

A 3

16 B

12

18. Subtract 57

− 27

.

A 37

B 3]

19. Evaluate 25

+ n for n = 15

.

A 15

C 12

B 3

10 D

35

20. Evaluate 34

− n for n = 14

.

A 2 B 12

21. Estimate the sum of 58

+ 78

by

rounding to 0, 12

, or 1.

A 12

C 1 12

B 1 D 2

22. Estimate the sum of 35

+ 13

by

rounding to 0, 12

, or 1.

A 1 B 2

23. Estimate the difference of 89

− 59

by

rounding to 0, 12

, or 1.

A 0 C 1

B 12

D 1 12


Choose the best answer. Express your answers in simplest form. 1. What is the least common multiple of

4 and 5? A 4 C 20 B 5 D 45

2. What is the least common multiple of 3 and 8? A 2 C 24 B 3 D 48

3. Add 15 + 310 .

A 215 C 12

B 45 D 1

4. Subtract 2332 − 14 .

A 1532 B 1116

5. Add 12 16 + 2 13 .

A 14 12 B 14 23

6. Subtract 5 18 − 2 124 .

A 2 1112 B 3 112

7. Subtract 9 − 2 12 .

A 6 12 C 8 12

B 7 12 D 11 12

8.Ali caught a fish that weighed 9 12 lbs.

Lisa caught a fish that weighed 5 34 lbs. How much more did Ali’s fish

weigh?

A 15 14 lbs C 4 18 lbs

B 4 14 lbs D 3 34 lbs

9. Solve x + 3 13 = 7.

A x = 3 23 B x = 10 13

10. Solve 2 12 = y − 1 18 .

A y = 3 58 B y = 3 18

11. Multiply 4 • 14 .

A 0 B 1 12. A box of granola bars contains 6 bars.

Each bar weighs 18 lb. How much

does the whole box weigh?

A 16 lb C 34 lb

B 12 lb D 1 lb

13. Multiply 12 • 78 .

A 716 B 1 18

CHAPTER 5


14. Evaluate k • 23 for k = 34 .

A 12 C 34

B 23 D 57

15. Multiply 5 • 27 .

A 3 27 B 1 37

16. Multiply 34 • 45 .

A 35 C 113

B 1 25 D 2

17. Multiply 8 12 • 1 15

A 16 15 C 15 15

B 16 D 10 15

18. Divide 78 ÷ 14 .

A 3 12 B 732

19. Divide 6 14 ÷ 12 .

A 4 12 C 9

B 8 D 12 12

20. Divide 4 12 ÷ 1 14 .

A 3 35 C 5

B 5 58 D 4 12

21. Solve 3h = 23 .

A 2 B 29

22. Solve 25 g = 4.

A g = 2 45 C g = 4 25

B g = 6 D g = 10


Choose the best answer. 1. In 1980 East Town Middle School

had 340 students. In 1990 there were 420 students and in 2000 there were 560 students. Which shows the data accurately in a table?

A East Town Middle School

Year 1980 1990 2000 Students 420 340 560

B East Town Middle School

Year 1980 1990 2000 Students 340 420 560

C East Town Middle School

Year 2000 1990 1980 Students 420 340 560

D East Town Middle School

Year 1980 1990 2000 Students 560 420 340

Use the data set for 2 and 3. 5, 4, 6, 3, 1, 4, 4

2. Find the mean, median, and mode of the data set. A 3, 4, 5 C 4, 3.9, 4 B 4, 4, 4 D 3.9, 4, 4

3. What are the mean and median of this data set without the value 1? A 4.3, 4 B 4, 4.3

4. How many times does 15 occur in the stem-and-leaf plot?

Stems Leaves 1 1 5 5 2 2 3 3 0 1 3 5 Key: 3 | 0 = 30

A 0 C 2 B 1 D 15

5. Which family received the least junk mail?

A Barker C Douglas B Smith D Wu

6. Which data set does the line plot represent?

A 1, 1, 2, 3, 3, 3, 4, 6, 6, 7, 7, 8, 8, 8 B 1, 1, 2, 3, 3, 4, 6, 6, 6, 7, 7, 8, 8, 8 C 1, 1, 3, 3, 3, 4, 5, 6, 6, 7, 7, 8, 8, 8 D 1, 1, 3, 3, 3, 4, 6, 6, 6, 7, 7, 8, 8, 8

7. Lana’s friends have the following eye colors: blue, brown, brown, green, blue, brown, gray, brown, blue, green. Organize her data in a frequency table.

A Eye color blue brown green gray Frequency 4 3 2 1

B Eye color blue brown green gray Frequency 3 4 2 1

CHAPTER 6


8.Which data set does the histogram represent?

A 6, 21, 33, 45, 59, 68, 70, 76, 79,

82, 94, 96 B 6, 21, 33, 39, 59, 68, 70, 76, 79,

82, 94, 96 C 6, 21, 33, 45, 59, 68, 70, 76, 83,

85, 94, 96 D 6, 12, 33, 45, 59, 68, 70, 76, 79,

82, 94, 96

9. Which ordered pair represents point D on the coordinate grid?

A (3, 7) B (7, 3)

10. Estimate how many students pack their lunch on Thursday?

A 150 C 190 B 175 D 200

11. The line graph shows the price of a stock for one entire week. Why is this graph misleading?

A The changes in price are

exaggerated because the scale does not start at zero.

B Saturday and Sunday are not included.

12. Valeria measures the outside temperature once every hour for 5 hours. What is the most appropriate graph to display her data?

Time (PM) 1 2 3 4 5 Temp (in °F) 68 68 66 62 59

A line graph B circle graph


Choose the best answer. 1. Jeff has 2 hamsters and 1 gerbil.

What is the ratio of gerbils to hamsters? A 2 to 1 C 1 to 3 B 1 to 2 D 2 to 3

2. Natane purchased 10 gallons of gasoline for $12.50. What was the unit rate? A $1.25 per gallon B $12.50 per gallon

3. Which of the following is the best deal? A 3 apples for $0.99 B 4 apples for $1.20 C 5 apples for $1.99 D 6 apples for $2.10

4. Which of these sets of ratios is equivalent to 3:2? A 3:4, 9:6, 12:8 B 6:4, 9:6, 12:8

5. The table shows the price of different numbers of magazines. Predict the cost of 5 magazines.

Magazines 1 2 3 4

Cost $4.00 $8.00 $12.00 $16.00

A $14.00 B $20.00

6. The table shows how much Jessica earns at her part-time job. Predict Jessica’s earnings for 3 hours of work.

Hours 2 4 6 Pay $10.20 $20.40 $30.60

A $5.10 B $15.30

7. What is the missing value in the proportion 58 = 16

k ?

A 5 B 10 8. A bottle of dog medicine says to give

1 mL for every pound of body weight. How much would you give a 35-lb dog? A 1 mL B 35 mL

9. Carl enlarges a photo that is 8 in high and 10 in wide. If the height of the enlargement is 16 in, find the width. A 10 in C 20 in B 16 in D 80 in

10. A 6-foot tall giraffe casts a 12-foot shadow. How long a shadow would a 4-foot tall baby giraffe cast? A 8 ft B 18 ft

11. Larry is using a map with a scale of 1 in: 2 mi. He wants to hike from High Point to Campsite A. The distance on the map is 3 inches. What is the actual distance? A 1 in C 2 mi B 6 in D 6 mi

12. Use the scale drawing shown to find the actual size.

A 0.75 cm B 3 cm

CHAPTER 7


13. Which is 40% as a decimal?

A 410 C 4

B 0.4 D 40 14. Only about 10% of child car seats are

installed correctly. What is 10% as a fraction in simplest form?

A 10100 B 1

10

15. What is 0.2 as a percent? A 0.2% C 20%

B 2% D 210

16. Which value is equivalent to 34 ?

A 34% C 50% B 43% D 75%

17. Fran saved $10 on a skirt normally priced at $50. What percent did she save? A 10% C 20% B 15% D 25%

18. What is 15% of 30? A 4.5 B 45

19. If Steven saves 10% on a $15.00 dress shirt, how much did he save? A $1.50 B $3.00

20. Paco went out for breakfast. The bill came to $8.21. He wants to leave a tip that is 20% of the bill. About how much should he leave for the tip? A $0.80 B $1.60

21. A scooter costs $150 plus 5% sales tax. How much is the sales tax? A $0.75 C $157.50 B $7.50 D $750


Choose the best answer. 1. An exact location is a _____.

A ray B point C plane D line

2. What is another name for AB ?

A BA B BD

3. Which of the following is a right angle? A B

4. What is the best estimate for the measure of ∠ABC?

A 30° C 110° B 75° D 135°

5. Two angles whose measures are the same are what type of angles? A complementary B supplementary C congruent D vertical

6. What is the complement of an angle whose measure is 38°? A 52° B 142°

7. Which description best fits the pair of lines?

A parallel B perpendicular C intersecting D perpendicular and intersecting

8. For triangle ABC, ∠B measures 20° and ∠C measures 35°. Find the measure of ∠A and classify the triangle. A ∠A = 125°; acute triangle B ∠A = 125°; obtuse triangle C ∠A = 35°; acute triangle D ∠A = 35°; obtuse triangle

9. What kind of triangle has three sides with length 11? A right C isosceles B scalene D equilateral

10. What quadrilateral has four congruent sides? A rectangle C trapezoid B rhombus D quadrilateral

11. What is the name of a polygon with five sides? A pentagon C hexagon B octagon D fiveagon

CHAPTER 8


12. What is the next figure in the pattern?

A

B

13. Which of the following pairs of figures are congruent? A B

14. What kind of transformation is shown?

A translation B reflection C 90° clockwise rotation D 180° rotation

15. Which transformation is shown?

A translation B reflection C 90° clockwise rotation D 180° rotation

16. How many lines of symmetry does a square have? A 2 B 4


Choose the best answer. 1. Which is the most reasonable

measure for the length of a large dinner table? A 2 in. C 2 yd B 2 ft D 2 mi

2. Which might be the weight of a small dog? A 2 lb B 20 lb

3. What is the most reasonable measure for the capacity of a large jug of milk? A 1 pt B 1 gal

4. Which is the most reasonable measure for the width of a door? A 8 cm B 0.8 m

5. Which is the most reasonable measure for the mass of a 2-L bottle of soda? A 2 mg C 200 g B 2 g D 2 kg

6. Which is the most reasonable measure for the capacity of a can of soda? A 40 mL B 400 mL

7. What is 24 inches converted into feet? A 2 ft C 3 ft B 2.4 ft D 24 ft

8. What is 16 fluid ounces converted into cups? A 2 cups B 4 cups

9. A large measuring cup has a capacity of 2 cups. How many pints is this? A 1 pt C 4 pt B 2 pt D 16 pt

10. A book has a mass of 3 kg. How many grams is this? A 300 g B 3,000 g

11. A whitewater kayak is 2 m long. Convert this measure to cm. A 2 cm C 200 cm B 20 cm D 2,000 cm

12. How many liters are equivalent to 8,000 mL? A 8 L B 800 L

13. How many minutes are in 2 hours? A 2 C 60 B 12 D 120

14. Alex arrives at the bus station at 3:30 P.M. for a bus that leaves 2 hours later. When does Alex's bus leave? A 4:30 P.M. B 5:30 P.M.

15. Estimate 30°C in Fahrenheit. A 0°F C 90°F B 40°F D 110°F

CHAPTER 9


16. Use a protractor to find the measure of angle OPQ.

A 50° B 130°

17. Estimate the measure of the angle shown below.

A 15° C 115° B 85° D 175°

18. What is the measure of each of the angles in an equilateral triangle? A 60° C 120° B 90° D 180°

19. What is the perimeter of the polygon?

A 50 cm B 150 cm

20. A rectangle has a length of 4 cm and a width of 5 cm. What is the perimeter? A 9 cm B 18 cm

21. A rectangle has a length of 3 cm and a perimeter of 8 cm. What is the width of the rectangle? A 1 cm C 3 cm B 2 cm D 4 cm

22. What is the name for the length of a circle going all the way around? A circumference B diameter

23. A soup bowl has a radius of 4 in. What is the circumference to the nearest whole number? Use 3.14 for π. A 25 in. C 121 in. B 50 in. D 201 in.

24. A circle has a diameter of 6 cm. What is the circumference? Use 3.14 for π. A 9.42 cm C 37.68 cm B 18.84 cm D 113.04 cm


Choose the best answer. 1. What is the estimated area of the

figure?

A 5 m2 C 15 m2 B 10 m2 D 20 m2

2. A rectangle has a length of 9 cm and a width of 5 cm. What is its area? A 28 cm2 B 45 cm2

3. A triangle has a base of 4 cm and a height of 3 cm. What is its area? A 6 cm2 B 12 cm2

4. What is the area of the trapezoid?

A 22 m2 B 30 m2

5. What is the area of the polygon?

A 12 in2 B 23 in2 6. A 4 in. by 5 in. photo is enlarged by

multiplying the length and width by 2. What is the new perimeter? A 9 in. C 20 in2 B 18 in. D 36 in.

7. A photo is enlarged by doubling the length and width. How does the area change? A decreases by factor of 16 B decreases by factor of 4 C increases by factor of 4 D increases by factor of 16

8. What is the estimated area of a circle with a radius of 10 miles? A 30 mi2 B 300 mi2

9. What is the area of a circle with a radius of 13 feet? Use 3.14 for π. A 530.66 ft2 B 2,122.64 ft2

CHAPTER 10


10. What type of figure is this?

A triangular prism B triangular pyramid C square pyramid D rectangular prism D pentagonal pyramid

11. What is the volume of a rectangular prism with side lengths 5 in., 7 in., and 3 in.? A 15 in. C 105 in2 B 15 in3 D 105 in3

12. What is the volume of this triangular prism?

A 31.5 cm3 B 63 cm3

13. What is the volume of a cylinder with radius 2 feet and height 4 feet? Use 3.14 for π. A 12.56 ft3 B 50.24 ft3

14. What is the surface area of this figure?

A 104 cm2 C 184 cm2 B 160 cm3 D 214 cm3

15. What is the surface area of a cylinder with a radius of 2 in and a height of 3 in.? Use 3.14 for π. A 37.68 in2 B 62.8 in2


Choose the best answer. 1. Which number represents being paid

$5.00? A −500 C +5.00 B −5.00 D +500

2. Which number added to −1 gives the sum of 0? A −1 B 1

3. Which is not equal to the absolute value of −8? A |8| C 8 B −|8| D |−8|

4. Which statement is true? A 11 < 10 C 3 > 5 B −8 > −9 D −2 < −10

5. Which set of integers is ordered from least to greatest? A 1, −2, 3 B −2, 1, 3

Use the figure below for 6–9.

6. In what quadrant is point A located?

A Quadrant I C Quadrant III B Quadrant II D Quadrant IV

7. What are the coordinates of Point B? A (4, −3) C (3, −4) B (−4, 3) D (−3, 4)

8. Identify the coordinates of Point B after it is reflected across the y-axis. A (4, −3) C (−4, 3) B (4, 3) D (−4, −3)

9. Identify the coordinates of Point A after it is translated 6 units down. A (3, −2) C (3, 2) B (−2, 3) D (2, 3)

10. What is the sum of −9 + 2? A −11 C 7 B −7 D 11

11. Evaluate x + 4 for x = −1. A −5 C 3 B −3 D 5

12. Gwen hikes up a trail, gaining 100 ft elevation. After a rest, she climbs another 80 ft. What is her total elevation gain? A 180 ft B −20 ft

CHAPTER

11


13. What is 4 − (−4)? A −8 C 4 B 0 D 8

14. What is −5 − (2)? A −7 B −3

15. Evaluate x − 7 for x = 5. A −2 B 12

16. Find the product 3 • 4. A −1 C 12 B 1 D 30

17. Find the product −3 • 4. A −12 B 12

18. Evaluate 3x for x = 6. A −4 C 18 B 2 D 32

19. Find the quotient: −56 ÷ (8). A −7 B 7

20. Find the quotient: −6 ÷ (− 3). A −3 C 2 B −2 D 3

21. Evaluate x5

for x = 20.

A −4 C 15 B 4 D 100

22. Solve 12 + y = 18. A y = 1.5 B y = 6

23. Solve 7n = 70. A n = 7 B n = 10


Choose the best answer.

1. What is the likelihood of a dropped slice of toast landing butter-side up? A impossible B unlikely C as likely as not D certain

2. There is a 30% chance of rain tomorrow. What is this as a decimal? A 0.03 C 3 B 0.3 D 30

3. There is a 15

chance that any

particular weekday will be a Wednesday. Write this rounded to the nearest percent. A 0.2% C 20% B 5% D 50%

4. So far this season, Ernie’s times at bat have produced 10 strikes, 7 balls, and 3 hits. What is the probability that the next pitch he faces will result in a hit? A 3% B 15%

5. So far today, 11 cardinals and 9 bluebirds have visited your bird feeder. What is the experimental probability that the next bird to visit will be a bluebird?

A 920

B 911

6. A cooking class baked 2 undercooked pies, 4 burned pies, 3 that exploded, and 5 successful pies. Which outcome is most likely for the next pie? A undercooked C exploded B burned D successful

7. Henry has 2 pairs of pants and 3 shirts. How many different possible outfits could he wear? A 5 B 6

8. The baseball team is having an ice cream sundae party. They have a choice of vanilla or chocolate ice cream; chocolate or strawberry syrup; and sprinkles, nuts or whipped cream. How many different types of sundae choices does the baseball team have? A 6 C 8 B 7 D 12

9. At a local deli, the lunch special offers a choice of 3 different meats, 2 choices for a vegetable, and 2 choices for dessert. How many different meal choices are there? A 6 C 12 B 7 D 24

CHAPTER 12


10. Martin spins a spinner, divided into four equal parts, numbered 1–4. What is the probability that he will get a 4 on the next spin?

A 14

B 12

11. What is the probability of rolling an odd number on a number cube?

A 16

B 12

12. The chance of lightning during a thunderstorm is 90%. What are the chances that lightning will not occur? A 10% C 90% B 50% D 100%

13. A spinner is divided into unequal red, blue, and yellow sections. The respective probabilities of the spinner stopping in the red and blue sections are 20% and 30%. What is the probability it will stop in the yellow section? A 30% C 70% B 50% D 100%

14. Suppose you flip a coin and then roll a number cube. What is the probability of getting tails and an odd number?

A 14

B 12

15. If you flip a coin twice, what is the probability of getting two heads?

A 14

B 12

16. Kelly has a pink shirt, 2 yellow shirts, red pants, and tan pants. If she picks at random, what is the probability that she will pick the pink shirt and the tan pants?

A 1

12 B

16

17. If the probability of frost on any given day is 10%, in a 30-day month, how many days would you predict will have frost? A 1 C 10 B 3 D 30

18. A survey shows that 50% of students get a ride to school. If there are 300 students in the school, how many would you predict will get a ride? A 50 B 150

19. If you flip a coin 12 times, how many tails do you expect to get? A 6 B 12

Name _______________________________________ 7th Grade Summer Packet 2012

Chapter 1

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________

Chapter 2

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________

6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________

Chapter 3

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________

7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________ 24.)___________ 25.)___________ 26.)___________

Chapter 4

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________

6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________

Chapter 5

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________

7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________

Chapter 6

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________


10.)___________ 11.)___________ 12.)___________

Chapter 7

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________

Chapter 8

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________

Chapter 9

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________

9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________ 24.)___________

Chapter 10

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________

9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________

Chapter 11

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________

19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________

Chapter 12

1.)_____________ 2.)_____________ 3.)_____________ 4.)_____________ 5.)_____________ 6.)_____________ 7.)_____________ 8.)_____________ 9.)_____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________


You completed

your summer math packet. Enjoy the

rest of your summer!

7th summer packet - point pleasant beach school …...this summer assignment will count as the first...

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