Name: Date Completed:

6th Grade School Attended: 6th Grade Math Teacher:

Snellville Middle Rising 7th Grade Summer 2016 Math

Packet

This packet contains important concepts essential for success in 7th grade

math. Completion of this packet is mandatory for students entering the 7th grade at

Snellville Middle School. **This will be your first grade in 7th grade math!**

Directions:

• Complete all of the problems in this packet. Use a pencil!

• Show ALL work! You may use additional paper to work problems out – make

sure to turn it in!

• You may NOT use a calculator.

This packet is due Friday, August 12, 2016

Concept: Suggested Completion Date: 1. Adding Fractions………………..…… June 5, 2016

2. Subtracting Fractions………..……. June 12, 2016

3. Multiplying Fractions……….…..… June 19, 2016

4. Dividing Fractions……………....….. June 26, 2016

5. Decimal Operations……………….… July 3, 2016

6. Percentages…….………………….…. July 10, 2016

7. Order of Operations……………….. July 17, 2016

8. Integer Operations……………….... July 24, 2016

9. One-Step Equations………………… July 31, 2016

10. Word Problems…………………….. **Gifted Students are required to complete this section

Websites that can help: www.khanacademy.com

Video lessons

www.freemathhelp.com Video lessons and text lessons

www.helpalgebra.com Lessons

www.purplemath.com Lessons

www.mathtv.com Video explanations of example problems

South Gwinnett Cluster Middle School Mathematics Ins/Outs

**Student should be able to say the following statements leaving one grade and entering the

next**

Leaving 5th Grade, Entering 6th Grade

• I can recall multiplication facts from 2 through 12 and use them to solve multi-digit

equations (ex. 356 x 27 = 9612).

• I can convert mixed numbers to improper fractions before adding or subtracting with like

and unlike denominators.

• I can convert mixed numbers to improper fractions before multiplying or dividing with like

and unlike denominators.

• I can regroup and borrow when performing multiplication and division of two whole

numbers.

• I can add, subtract, multiply and divide whole numbers and decimals to the hundredths

place. (ex. 3.08)

Leaving 6th Grade, Entering 7th Grade

• I can simplify expressions using the Order of Operations.

• I can add, subtract, multiply and divide two digit decimal numbers.

• I can convert mixed numbers to improper fractions before multiplying or dividing with like

and unlike denominators.

• I can evaluate expressions where the value is given for a specific variable.

• I can evaluate one step algebraic equations across all operations.

Leaving 7th Grade, Entering 8th Grade

• I can add, subtract, multiply and divide rational numbers(positive and negative numbers).

• I can solve one-step, two-step and multi-step equations and inequalities.

• I can compare and order rational numbers.

• I can calculate unit rates with ratios, and identify and recognize situations representing

proportional relationships.

• I can simplify and evaluate algebraic expressions.

Leaving 8th Grade, Entering 9th Grade Algebra I CC

• I can use Order of Operations (PEMDAS) to re-arrange and solve a 1 variable equation.

• I can represent linear functions in a variety of ways: using a table, using an algebraic

expression, and with a verbal expression.

• I can graph a linear function in slope intercept form (y=mx +b), in standard form (ax + by =

c) and identify key features such as slope, y intercept and x intercept. I know the special

cases of horizontal and vertical lines.

• I can use properties of integer exponents to simplify and re-write expressions.

• I can simplify radical expressions. Example: √125 = √25 ∗ 5 = 5√5

Adding Fractions

1.) + 2.) +

3.) + 4.) +

5.) + 6.) +

7.) + 8.) +

9.) + 10.) +

11.) + 12.) +

13.) + 14.) +

15.) + 16.) +

Subtracting Fractions

1.) − 2.) −

3.) − 4.) −

5.) − 6.) −

7.) − 8.) −

9.) − 10.) −

11.) − 12.) −

13.) − 14.) −

15.) − 16.) −

Multiplying Fractions

1.) 2.)

3.) 4.)

5.) 6.)

7.) 8.)

9.)

Dividing Fractions

1.) ÷ 2.) ÷

3.) ÷ 4.) ÷

5.) ÷ 6.) ÷

7.) ÷ 8.) ÷

9.) ÷ 10.) ÷

11.) ÷ 12.) ÷

13.) ÷ 14.) ÷

15.) ÷ 16.) ÷

Decimal Operations

Solve all problems.

Adding – Find the Sum.

1.) 4.7 + 3.7 2.) 0.46 + 0.5

3.) 6.42 + 1.9 4.) 2.718 + 3.3

Subtracting – Find the difference.

5.) 7.9 − 7.3 6.) 3 − 0.5

7.) 6.24 − 3.9 8.) 8 − 6.09

Multiplying – Find the product.

9.) 0.9 ∙ 6 10.) 6.4 ∙ 7.8

11.) 9.2 ∙ 4.8 12.) 5.1 ∙ 7.433

Dividing – Find the quotient.

13.) 3.8 ÷ 7.6 14.) 6.9 ÷ 8

15.) 5.58 ÷ 0.1 16.) 7.9 ÷ 2.5

Percentages

Write each decimal as a percent. Round to the thousandths place.

1.) 0.4 2.) 0.16

3.) 0.05 4.) 0.47

Write each percent as a decimal.

5.) 35% 6.) 9%

7.) 10% 8.) 50%

Write each fraction as a percent. Round to the nearest tenth of a percent.

9.) 10.)

11.) 12.)

Write each percent as a fraction.

13.) 18% 14.) 16%

15.) 80% 16.) 77%

Order of Operations

Evaluate each expression.

1.) 4 + 4 ∙ 2 2.) 18 ÷ (3 ∙ 2)

3.) 4 ∙ 2 + 5 − 4 4.) 10 ÷ (5 + 4 − 4)

5.) 16 ÷ 4 + 3(4 − 2) 6.) 33 − (2 + 5 − 5)

7.) 2 − (4 − 2) + (8 + 10) ÷ 6 8.) (2 + 1) ÷ 3 ∙ 5 + 2 − 1

9.) (5.7 − 4)2 10.) ÷ +

Integer Operations

Solve each problem.

1.) 3 + 5 2.) 1 + −7

3.) −7 + 5 4.) −5 + −3

5.) (−8) + (−2) + (−4) 6.) 2 + (−8) + 4

7.) (−1) − 5 8.) (−4) − (−8)

9.) 3 − 8 10.) 2 − (−8)

11.) 5 − 1 − (−6) 12.) 8 − (−4) − 8

13.) 4 ∙ 9 14.) −7 ∙ −9

15.) −9 ∙ −10 16.) −3 ∙ 4

17.) 7 ∙ −4 18.) −6 ∙ 7

19.) −32 ÷ 8 20.) 70 ÷ −10

21.) 6 ÷ −3 22.) −12 ÷ −6

23.) 24.)

One-Step Equations

Solve each equation by inverse operations.

1.) 𝑚 + 19 = 32 2.) 𝑥 − 5 = −17

3.) 8 + 𝑛 = 25 4.) 𝑎 + 10 = 7

5.) 31 = 15 + 𝑛 6.) 12𝑛 = −144

7.) 13𝑎 = 52 8.) −8𝑥 = 72

9.) 𝑛

11=8 10.) −3 =

𝑛

11

Word Problems

1.) Joey received 75% of the 32 2.) Nathaniel has two packages to mail. The

votes cast in the election for class first package weighs 3.6 kilograms.

president. How many votes were The weight of the second package is 2.25

cast for Joey? times the weight of the first package.

What is the weight of the second package?

3.) Cecile spends hour practicing 4.) Jerry and Karen had dinner at a

piano. Her brother spends 3

4 restaurant. The total cost of their

hour practicing piano. How meals was $24. If they want to leave a

much longer did Cecile spend 15% tip, how much should the tip be?

practicing than her brother?

6.) A yellow rope is yard long. A 5.) Mr. Shelton paid $19.55 for 8.5

white rope is 1

2 as long as the yellow gallons of gas. How much did he

pay for each gallon of gas? rope. How long is the white rope?

7.) Latisha’s soccer team lost 30% of 8.) Mr. Reily bought the following

the 30 games they played last three items at a music store.

season. None of the games

ended in ties. How many games

did Latisha’s team WIN?

How much change did he receive from

$50.00?

CD $18.10

CD Case $15.00

Headphones $9.98