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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