GRADE 8

2015

MURDOCK

MIDDLE SCHOOL

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Dear Incoming Grade 8 Student and Parents/Guardians: Research has shown that continued practice with mathematics skills over the summer months leads to greater retention when students return in the fall. The mathematics department at Murdock Middle School has put a summer mathematics program in place so that you can best be prepared to enter your new mathematics course in the fall. Students entering grade 8 are expected to complete this packet of mathematics activities over the summer in order to retain those skills learned in 7th grade and to be adequately prepared for 8th grade. All problems in this packet should be solved without the use of a calculator. Students are asked to show their work when solving the problems in this packet. The process is as important as the answer. Some helpful hints are provided below to help students in the completion of this assignment.

Make a timeline for completing the packet.

Break the packet down into sections and complete one part at a time – don’t leave it all for the end of the summer.

Set a regular time and place to work that is free from distractions.

In the fall, mathematics teachers will review student’s progress and will earn an assessment grade reflective of the effort that students have put into the summer work. Math packets will be due to student’s math teacher by September 11, 2015. Students who complete this packet to the best of their ability and pass them in on time will be invited to a summer math celebration to be held in the fall.

Enjoy your summer! Sincerely, The Mathematics Department Murdock Middle School

Parents: Please sign this document to indicate that your child put his/her best effort into completing this packet.

I have completed this summer math packet to the best of my ability to be ready for my 8th grade math class.

Student Name: ________________________________________________________________________

Student Signature: _____________________________________________________________________

Parent Signature: ______________________________________________________________________

Date:

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MMS SUMMER MATH

Benchmark Concepts/Skills:

• Add, subtract, multiply and divide decimals.

• Add, subtract, multiply and divide fractions and mixed numbers.

• Write fractions as decimals and vice versa.

• Compare and order fractions and decimals.

• Use ratios and unit rates.

• Write a fraction and decimal as a percent and vice versa.

• Use mental math to solve percent problems.

• Use a proportion or an equation to solve percent problems.

• Add, subtract, multiply and divide integers.

• Evaluate arithmetic and algebraic expressions using the order of operations.

• Translate word expressions to algebraic expressions.

• Solve one‐step equations.

• Solve two‐step equations.

• Solve mixed‐application word problems.

Extension (Optional Learning Opportunities)

IXL Website: http://www.ixl.com/

Website which answers questions: http://mathforum.org/dr.math/

Website with examples and practice: http://www.aaastudy.com/

Website with video explanations: http://www.khanacademy.org/

http://www.kidsmathgamesonline.com/

https://www.xtramath.org/ (must have an email for this free math facts practice site)

http://www.mathexpression.com/index.html (tutorial videos, worksheets, etc.)

https://www.xtramath.org/

http://www.coolmath4kids.com/

http://www.mathplayground.com/

http://www.teachthechildrenwell.com/

http://greatmathsgames.com/

http://nlvm.usu.edu/en/nav/vlibrary.html

http://www.coolmath.com/

http://www.woodlands-junior.kent.sch.uk/maths/

http://www.mathsisfun.com/

http://aplusmath.com/

http://www.funbrain.com/brain/MathBrain/MathBrain.html

http://jmathpage.com/

http://www.mathfactspro.com/mathfactfluencygame.htm

http://www.mathexpression.com/index.html

www.algebrahelp.com

www.math‐play.com

http://www.playkidsgames.com/games/mathfact/mathFact.htm

http://www.gamequarium.com/problemsolving.html

Sushi Monster App (free)

Rocket Math App – Basic Math Facts Fun Learning Game (free)

ArithmeTick App (free)

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Helpful Tips

When adding or subtracting whole numbers or decimals, line up the place values.

When adding or subtracting fractions, get a common denominator.

When multiplying or dividing mixed numbers, put them into improper fractions first.

When dividing fractions, do not forget to change the sign to multiplication and make the second

fraction its reciprocal.

Factors are numbers that can be evenly divided into a number…the factors of 6 are 1, 2, 3 and 6.

Multiples are the product of a number and any other number…some multiples of 5 are 0, 5, 10, etc.

To change a fraction into a decimal, divide the numerator by the denominator.

To change a decimal to a fraction, put the number over the place value of the last digit and reduce.

To change a fraction or decimal into a percent, multiply by 100.

To change a percent into a fraction or decimal, divide by 100.

NO CALCULATORS ARE TO BE USED!!!!!

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Compute. Remember: No calculators.

1) 0.46 + 0.3

2) 9.7 + 0.59

3) 0.8 – 0.23

4) 7 – 0.6

5) 6.57 – 2.9

6) 8.2(1.3)

7) 34 (0.5)

8) 0.16(0.7)

9) 4.14 ÷ 9

10) 5.95 ÷ 0.7

11) 52.8 ÷ 0.44

12) 45 ÷ 0.3

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Compute. Express answers in simplest form. Remember: No calculators.

1) +

2) 9 +

3) 5 + 6

4) –

5) 7 –

6) 7 – 1

7) 9 – 2

8) ·

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9) 2 · 1

10) 3 · 12

11) ÷

12) 12 ÷

13) 3

14) 7 ÷ 4

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Write each fraction or mixed number as a decimal. Remember: No calculators.

1) 2)

3) 4 4)

Write each decimal as a fraction or mixed number in simplest form.

5) 0.4 6) 0.16

7) 3.08 8) 9.025

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Use >, < or = to compare. Justify your answer.

9) 0.18 _____ 0.4 10) 13.7 _____ 1.37 11) 0.105 ____ 0.15

12) ____ 13) ____

Order from least to greatest. Justify answers.

14) 0.208, 0.028, 0.28

15) , , ,

16) 0.6, , 0.32,

Express each ratio as a fraction in lowest terms. Remember: No calculators.

1) 10 pints to 3 gallons 2) 30 mm to 2 m

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Express the ratio as a unit rate.

3) 563 miles in 10 hours

Find the unit price of each of the following. Circle the best buy.

4) 9 ounces of canned salmon for $1.89 1 pound of canned salmon for $3.29

Write a proportion and solve. Show all steps.

5) Mitchell spent $4.65 on 1.5 lbs of dried fruit mix. At this rate, how much would 2 lbs of dried fruit mix cost?

Complete the following chart. Express fractions in simplest form.

Percent Decimal Fraction

6) 12%

7)

8) 0.018

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Use mental math to complete the following.

9) 10% of 45 is ______.

10) 20% of 90 is ______.

11) 25% of 24 is ______ .

12) 66 % of 15 is ______.

Use a proportion or equation to solve.

12) What number is 3.5% of 40?

13) 32 is 6% of what number?

Use a proportion or equation to solve.

14) In a basket filled with 16 apples and 24 oranges, what percent of the fruit in the basket is oranges?

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15) The Sheets recently installed black and white tile in their foyer. 65% of the tiles installed were black. If they used 42 white tiles, how many total tiles were installed?

Compute. Remember: No calculators.

1) 8 + (– 3) 2) –6 + (–9) 3) 7 + (–12)

4) 8 – 10 5) – 3 – 1 6) –6 – 8

7) 6 – (–4) 8) –2 – (–9) 9) –7 – (–1)

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10) –8(–3) 11) 5(–7) 12) –6(9)

13) –32 ÷ (–8) 14) –56 ÷ 7 15) 81 ÷ (–9)

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Simplify each expression. Show all steps. Remember: No calculators.

1) 5 – 2(8 + 3) 2) 12 – 4 – 2 · (–5)

3) 32 – 4 6 13 - 23

Evaluate each expression if a = 5, b = 12, and c = 4. Show all steps.

4) b ÷ 3 + c · 7 – 20 ÷ a

5) a2 – (2ac – 3b) 2

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Define a variable. Then translate each word expression into an algebraic expression.

6) seven less than the number of beach balls

7) the quotient of the number of sandcastles and three

8) double the number of lifeguards increased by five

9) eight subtracted from the product of six and the number of beach towels

Use a property of equality to solve each equation. Show all steps.

1) x + 8 = 3 2) y – 6 = –2

3)

𝑚 +2

3=

3

4

4)

𝑐 + 15

8= 4

1

2

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5) 0.27 = n – 1.4 6) – 5w = 40

Use a property of equality to solve each equation. Show all steps.

7) 0.5a = 12 8) 𝑥

−7= −8

9) −0.6 =𝑥

1.2

10) 2y + 15 = 9

11) 𝑥

−3+ 4 = −5

12) – 8w – 1 = – 17

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Solve. Clearly document your work.

1) If the sides of a rectangular garden are whole numbers and the area of the garden is 48 square feet, how many combinations of side lengths are possible? List all combinations.

2) Marlee bought a large bag of Jolly Ranchers. She gave 17 pieces to her cousin and then gave 10% of what was left to her neighbor. She then ate 3 pieces and divided the rest equally among her three brothers, each of whom got 38 pieces. How many pieces did Marlee originally have? (Hint: Work Backwards)

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3) For a school project, Tim recorded how much TV he watched in one weekend and what kinds of programs he watched. The following are the times he watched TV: SATURDAY: 9:30-10:30 a.m.; 1:00-3:30 p.m.; 8:00-10:00 p.m. SUNDAY: 1:00-2:30 p.m.; 8:00-10:00 p.m. Tim watched sports programs for ½ of the time. He watched movies for 1/3 of the time. He watched cartoons with his sister Audrey the rest of the time. How many minutes did Tim watch cartoons?

4) Three watermelons and two cantaloupes weigh 32 pounds. Four watermelons and three cantaloupes weigh 44 pounds. All watermelons weigh the same and all cantaloupes weigh the same. What is the weight of two watermelons and one cantaloupe?

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