Summer Math Packet For Students Entering Grade 8

Summer Math Packet

For Students Entering Grade 8

The Summer Math Packet is just what you need to keep your skills sharp over the summer so you are ready for 8th grade math. Please do all of the problems to the best of your ability and remember to show your work. You may use your online textbook as a resource. Your 8th grade mathematics teacher will be reviewing the packet during the first few days of school and then an assessment will follow.

Please turn in your completed packet to your math teacher when you begin school in September.

The 8th Grade Mathematics Teachers

Student's Name ________________

Access to online textbook:

User name______________________ Password_______________________

Review and Practice of 7th Grade Skills needed for 8th Grade

Summer Math Packet 2018 For Students Entering Grade 8

7th to 8th Summer Homework

Do not use a calculator. You must show all of your work.

WHOLE NUMBER OPERATIONS

Solve.

1. 548 - 485

2. 29 ? 17

3. 774 ? 18

ADD AND SUBTRACT DECIMALS Add or subtract. 4. 34.26 + 25.7

MULTIPLY DECIMALS Multiply. 6. 3.4 ? 0.7

DIVIDE DECIMALS Divide. 8. 18.9 ? 7

5. 24.8 - 6.23 7. 5.3 ? 2.4 9. 0.85 ? 0.5

MULTIPLY AND DIVIDE FRACTIONS

Multiply or divide. Give your answer in simplest form.

10.

3 8

?

4 6

11.

7 10

?

7

ADD AND SUBTRACT FRACTIONS Add or subtract. Give your answer in simplest form. 12. 4 + 7

5 10

13. 1 3 - 5

7 7

ADD AND SUBTRACT INTEGERS Perform each indicated operation. 14. -63 + 47

MULTIPLY AND DIVIDE INTEGERS Perform each indicated operation. 16. 16(-3)

15. -21 - (-33) 17. -42 ? (-7)

FRACTIONS, DECIMALS, AND PERCENTS

For each problem, write an equivalent decimal and percent.

18.

3 20

19.

11 8

ORDER OF OPERATIONS Evaluate each expression. 20. 16 + 4 ? 4

21. 5 + 4 ? 32

DISTRIBUTIVE PROPERTY Simplify each expression. 22. 6(14 + t)

23. (h - 7)8

RATES AND UNIT RATES Find each unit rate. 24. $33 for 6 sandwiches

25. 98 photos in 7 days

CONNECT WORDS AND ALGEBRA

26. Eloise has collected $195 for charity. Each week she will collect an additional $15.

Write an equation representing the total amount t (in dollars) that Eloise will have collected after w weeks.

GRAPH NUMBERS ON A NUMBER LINE Draw a number line and then place the following numbers on it.

27. 3

28. -1.5

29. -2.5

COMPARE AND ORDER REAL NUMBERS

Compare. Use , or =.

30.

8 15

3 5

31. 30% 0.030

32.

8 20

40%

EVALUATE EXPRESSIONS Evaluate each expression for the given value of the variable. 33. 6g - 15 for g = 7

34.

13

+

3 4

for d = -8

SOLVE ONE-STEP EQUATIONS Solve. 35. 6 = 144

36. 18 + = -8

COMBINE LIKE TERMS Combine like terms to simplify each expression. 37. 4c2 - 23 + 5c 2

38. -4 + 5 - 4 + 7

SOLVE MULTI-STEP EQUATIONS Solve. 39. 3 + 13 = 40

40. 4( - 3) - 6 = 42

SOLVE PROPORTIONS Solve each proportion. 41. 3 =

5 15

42. 9 = 6

18

FUNCTION TABLES

Generate ordered pairs for each function for x = -2, -1, 0, 1, 2.

43. y = 3x + 7

44. y = (x - 3)2

ORDERED PAIRS Identify each point on the coordinate grid. 45. (-1, 3)

46. (4, 0)

GRAPH LINEAR FUNCTIONS Graph each function. 47. = + 4

SOLVE AND GRAPH INEQUALITIES Solve and graph each inequality. 49. - 5 -2

48.

=

-

12

+1

2

50. -3 < 12

Additional problems for students entering Math 8-Algebra 1 51. In one week, the low temperature was 9F below zero. The high temperature was 36F higher than

the low temperature. What was the high temperature?

52. A skydiver was at an elevation of 17,833 feet. One minute later, she was at 4,297 feet. Find her average change in elevation per second.

53. A bread company uses 14,760 pounds of wheat flour every 24 hours. What amount of flour would you expect to be used in 6 hours? What amount of flour would you expect to be used in 12 days?

54. Manuel feeds his dog 64 ounces of dog food every 4 days. How many days does it take Manuel's dog to eat 112 ounces of dog food? How many ounces of dog food does Manuel's dog eat in 9 days?

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