Grade 7 Math Review Packet - Mukilteo School District

Mukilteo School District

Seventh Grade Mathematics

Review & Practice

Dear families,

As our community works to understand and respond to the effects of COVID-19, the Mukilteo School District sincerely appreciates your patience as we navigate this period of unprecedented school closures.

Attached to this letter is a packet of materials to help you supplement your child's education while away from the formal school environment. Please feel free to use the grade-level packets to review and practice previously taught skills in English/Language Arts, Mathematics and Science. They are not required, nor will they be graded. Answer keys are included in the packets so that your child can check their own work. Students are encouraged to skip around and find topics of interest and practice rather than complete them from beginning to end. If you find that your child's grade level is too challenging, or not challenging enough, you are welcome to work outside of their current grade level. It is highly encouraged that your child continues to review and practice previously taught skills and remain engaged in learning. We hope these packets add to what you are already doing to support your child in learning during this challenging time.

Sincerely,

The Curriculum and Instruction Department Mukilteo School District

REVIEW: Adding and Subtracting Integers

Key Concept and Vocabulary

terms sum 6 + (-2) = 4

Add and subtract.

7 - (-3) = 10

terms difference

Name ___________________________________

Visual Model

To add a positive number, move to the right.

5 ? 8 ? 3 6 5 4 3 2 1 0 1 2 3 4

To subtract a positive number, move to the left.

Skill Examples

1. 5 + (-3) = 5 - 3 = 2 2. 5 - (-2) = 5 + 2 = 7 3. -2 + 4 = 2 4. -3 - (-2) = -3 + 2 = -1 5. 8 - (-3) = 8 + 3 = 11

To subtract, change the sign and add.

Application Example

6. The temperature is 8?F in the morning and drops to -5?F in the evening. What is the difference between these temperatures? 8 - (-5) = 8 + 5 = 13

The difference is 13 degrees.

PRACTICE MAKES PURR-FECTTM

Find the sum or difference.

7. -2 + 3 =

8. -4 - 5 =

11. -4 - (-1) =

12. -5 + (-5) =

15. -4 + (-6) =

16. -4 -(-6) =

Check your answers at .

9. 8 - 2 = 13. 4 - (-8) = 17. 10 - 13 =

10. 8 - (-2) = 14. 4 - 8 = 18. 13 - (-10) =

Write the addition or subtraction shown by the number line.

19.

20.

5 4 3 2 1 0 1 2 3 4 5

5 4 3 2 1 0 1 2 3 4 5

21. TEMPERATURE The temperature is 16?F in the morning and drops to -15?F in the evening. What is the difference between these temperatures?

22. SUBMARINE A submarine is 450 feet below sea level. It descends 300 feet. What is its new position? Show your work.

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Topic 4.3

REVIEW: Multiplying and Dividing Integers

Key Concept and Vocabulary

factors product

8 (-5) = -40

Multiply and divide.

-12 ? (-3) = 4

dividend divisor quotient

Name ___________________________________

Visual Model

4 (-2) = (-2) + (-2) + (-2) + (-2)

9 8 7 6 5 4 3 2 1 0 1

Skill Examples

1. -3 (-4) = 12

2. -36 ? (-6) = 6

3. -7 0 = 0

4. -10 ? 5 = -2

5. -5 6 = -30

same sign, product and quotient positive

different signs, product and quotient negative

Application Example

6. Each of your six friends owes you $5. Use integer multiplication to represent the total amount your friends owe you.

6 (-5) = -30

The total amount owed is $30.

PRACTICE MAKES PURR-FECTTM

Find the product or quotient.

7. -3 ? (-5) =

8. 7(-3) =

11. -8 2 =

12. (-5)2 =

Check your answers at .

9. 0 (-5) =

13. (-3)3 =

10. (-5)(-7) = 14. 4(-2)(-3) =

15. -16 ? 4 =

16. -20 ? (-5) =

17.

-9 --

=

3

18.

-20 -- -10

=

Complete the multiplication or division equation.

19. -15 ?

= -3

20. 45 ?

= -5

21.

? (-20) = 5

22. 8

= -64

23.

(-9) = 27

24. -12

= -96

25. TOTAL OWED Each of your eight friends owes you $10. Use integer multiplication to represent the total amount your friends owe you.

26. TEMPERATURE The low temperatures for a week in Edmonton, Alberta are -15?C, -12?C, -10?C, -12?C, -18?C, -20?C, and -25?C. What is the mean low temperature for the week? Show your work.

Copyright ? Big Ideas Learning, LLC

Topic 4.4

Name ___________________________________________________ Date __________________

Operations with Rational Numbers

To add, subtract, multiply, or divide rational numbers, use the same rules for signs as you used for integers.

Example 1 Find (a) ---56 + --23 and (b) 7.3 - (-4.8).

a. Write the fractions with the same denominator, then add.

---65

+

-- 2 3

=

---56

+

-- 4 6

=

-- -5 + 4 6

=

-- -1 6

=

---16

b. To subtract a rational number, add its opposite.

7.3 - (-4.8) = 7.3 + 4.8 = 12.1

The opposite of -4.8 is 4.8.

Example 2 Find (a) 2.25 8, (b) -2.25 (-8), and (c) -2.25 8.

a. 2.25 8 = 18

b. -2.25 (-8) = 18

Example 3 Find ---49 ? --34.

To divide by a fraction, multiply by its reciprocal.

---94

?

-- 3 4

=

---49

-- 4 3

=

--- 49 43

=

--- 2176

The reciprocal of --34 is --43.

c. -2.25 8 = -18

Practice

Add, subtract, multiply, or divide.

1. -7.5 + 3.8

2. -18.3 + (-6.7)

Check your answers at .

3. 0.6 - 0.85

4. 6.13 - (-2.82)

5. -6 4.75

6. -3.2 (-4.8)

7. -1.8 ? (-9)

9.

---16

+

-- 5 6

( ) 10. --- 170 + ---35

11.

-- 4 9

-

-- 2 3

( ) 13. ---32 ---18

14. ---34

-- 7 12

( ) 15.

--5 ? 8

---14

17. TEMPERATURE The temperature at midnight is shown. The outside temperature decreases 2.3?C over the next two hours. What is the outside temperature at 2 a.m.?

18. SavNeOraWgeF. AInLFLebInruJaarnyu, athrye,sanociwtyf'asllswnoaws f--34aflloowtaasb--58ovfoeotthbeehloiswtotrhiceahl iasvtoerriacgael. Was the city's snowfall in the two-month period above or below the historical average? By how much?

8. 3.6 ? (-1.5)

12.

---65

-

-- 1 4

16.

---74

?

-- 2 5

OUT IN

Copyright ? Big Ideas Learning, LLC

Topic 3.2

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