Honors Math 6 Summer Work Name______________________

Fractions and Decimals

Write each as a decimal. Use repeating decimals when necessary. SHOW YOUR WORK.

1

42

3

5

5

8

3

5

7

200

8

33

Write each as a fraction . SHOW YOUR WORK.

2.2 1.6

0.08 0.27

1.76 0.09

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Add/Subtracting Fractions and Mixed Numbers

Evaluate each expression and write your answer in simplest terms.

.

2

5 +

4

5

1

3 −

1

3

6 −1

67

6 −

5

6

9

5 −

5

8 (− 1

3 ) + 3

8

(−17

8 ) + (−31

2 ) (−33

5 ) − 42

5

Multiplying/Dividing Fractions and Mixed Numbers

Find each product or uotient. rite your answer in simplest terms.

.

2

3 ⋅

5

4

−2 ⋅3

7

1

4⋅ 9

−21

5⋅ −1

3

4

−3

2÷

−10

7

1

2÷

8

7

−9

5÷ 2

5

9÷ 3

−2 ÷ −34

5

1

9÷ −1

1

3

Multiplying/Dividing Fractions and Mixed Numbers

Find each product or uotient. rite your answer in simplest terms.

.

. t re uires o a redit to play a ideo ame or one minute.

a . mma as redits. an s e play or more or less t an one minute plain ow you

now.

. ow lon an mma play t e ideo ame wit er redits

. li e aul and aria are a in oo ies to et er. ey need up o lour and up o utter

to ma e a do en oo ies. ey ea rou t t e in redients t ey ad at ome. li e rou t ups o

lour and up o utter aul rou t up o lour and up o utter and aria rou t

ups o lour and up o utter. t e students a e plenty o t e ot er in redients t ey need su ar

salt a in soda et . ow many w ole at es o a do en oo ies an t ey ma e

. ou are stu in a i tra i am on t e reeway and you are wonderin ow lon it will ta e to et

to t e ne t e it w i is / miles away. ou are timin your pro ress and ind t at you an tra el /

o a mile in one our. you ontinue to ma e pro ress at t is rate ow lon will it e until you rea

t e e it ol e t e pro lem wit a dia ram and e plain your answer.

Integers and Absolute Value

State the integer that best describes each.

1. 5 yard gain

2. a withdrawal of $40

3. the stock rose 8 points

4. 20 seconds before blastoff

5. a bill for $15

6. a profit of $22

7. 9º below zero

8. 125 feet below sea level

9. a bank deposit of $35

10. sea level

Evaluate.

| –7 | | 15 | | 0 |

– | 5 | – | –3 | | –7 | – | 4 |

| –2 | + |15 | | 9 | – | –4 | – | –101 |

| – 17 | – | 17 | | –13 | + | –3 | | 8 | – | –7 |

MIXED INTEGER PRACTICE

Solve WITHOUT A CALCULATOR.

–9 +13 (–7)(–5) 18 – (–6)

–3 – (–7) –9 – 18 303

−−

8(–7) –18 + (–13) –9 x (–5)

–19 + 11 6 – (–15) –54 ÷ (–6)

| –8 | – (–3) –19 + (–7) 408−

| –5 | – |–9 | –19 x | –3 | –10 – (–31)

7 + (–11) 7218−

–14 – (–11)

–9 + 18 14(–7) –12 + (–9)

– 46 ÷ (–2) 8 + (–22) –45 ÷ 9

–9 + (–3) –9(–4) –12 – 19

PROPERTIES OF ADDITION / MULTIPLICATION

Name of Properties Example

1. Commutative Property of Addition a + b = b + a 2. Commutative Property of Multiplication ab = ba 3. Associative Property of Addition (a + b) + c = a + (b + c) 4. Associative Property of Multiplication (ab)c = a(bc) 5. Distributive Property a(b + c) = ab + ac 6. Identity Property of Addition a + 0 = 0 + a = a 7. Identity Property of Multiplication a •1 = 1 • a = a 8. Inverse Property of Addition a + (–a) = –a + a = 0

9. Inverse Property of Multiplication a • 1a

= 1a

• a = 1

Write the number of the property that describes each of the following.

_________ _________ _________ _________

1. 9 • 5 = 5 • 92. 7 + (4 + 8) = (7 + 4) + 83. 7 + 0 = 74. 5(6 + 4) = 5(6) + 5(4)5. –4 + 4 = 0 _________

6. 10 ( 110

) = 1 _________

7. –9 • 1 + -98. c + (–c) = 09. 8(6 • 5) = (8 • 6) • 510. xy = yx11. e + (f + g) = (e + f) + g12. 4 + (7 + 2) = 4 + (2 + 7)13. 6(x + 3) = 6x + 6 • 314. 0 + 13 = 1315. ½ • 2 = 1

_________ _________ _________ _________ _________ _________ _________ _________ _________

6 + 4(3 + 2) – 12 ÷ 4 4 + 8 ÷ 2

3 • 4² ÷ 12 + (8 – 2) 18 ÷ 6 ÷ 3

10 – (7 – 2) 17 – 4(12 – 2 • 6) + 3

17 – (3 + 4 • 2) 3² x (7 + 1) – 8 x 2 ÷ 4

21 – 7 x 2 + 4 6 + 2 x 4² – 3 ÷ 3

Order of OperationsSHOW YOUR WORK.

Read carefully and solve. SHOW YOUR WORK.

When Steve woke up. His temperature was 102º F. Two hours later itwas 3º lower. What was his temperature then?

An elevator is on the twentieth floor. It goes down 11 floors and then up5 floors. What floor is the elevator on now?

A deep-sea exploring ship is pulling up a diver at the rate of 25 feet perminute. The diver is 200 feet below sea level. How deep was the diver10 minutes ago?

If it is 5º outside and the temperature will drop 17º in the next six hours,how cold will it get?

Josie has $47 left on her checking account. If she writes a check for $55,what will Josie’s balance be?

A scuba diver swam 96 feet beneath the surface of the lake. He thenclimbs up 49 feet. What is his depth now?

The temperature was –3º C last night. It is now –4º C. What was thechange in temperature?

While watching a football game, Lin Chow decided to list yardagegained as positive integers and yardage lost as negative integers. Afterthese plays, Lin recorded 14, –7, and 9. What was the net gain or loss?

Pythagoras was born about 582 BC. Isaac Newton was born in 1643AD. How many years apart were they born.?

Sonny has $75 to spend. The purchase he wants to make requires $93.If he borrows the extra money that he needs, how much does he need toborrow?

Two golfers completed one round of golf. The first golfer had a scoreof +6 and the second golfer had a score of –3. How many more shotsdid the first golfer take?

Hallieisin6thgradeandshecanbuymovieticketsfor$8.25.Hallie'sfatherwasin6thgradein1987whenmovieticketscost$3.75.a. Whenheturned12,Hallie'sfatherwasgiven$20.00sohecouldtakesomefriendstothemovies.Howmanymovieticketscouldhebuywiththismoney?b. HowmanymovieticketscanHalliebuyfor$20.00?c. OnHallie's12thbirthday,herfathersaid,

WhenIturned12,mydadgaveme$20soIcouldgowiththreeofmyfriendstothemoviesandbuyalargepopcorn.I'mgoingtogiveyousomemoneysoyoucantakethreeofyourfriendstothemoviesandbuyalargepopcorn.Howmuchmoneydoyouthinkherfathershouldgiveher?Apennyisabout1/16ofaninchthick.a. In2011therewereapproximately5billionpenniesminted.Ifallofthesepennieswereplacedinasinglestack,howmanymileshighwouldthatstackbe?

b. Inthepast100years,nearly500billionpennieshavebeenminted.Ifallofthesepennieswereplacedinasinglestack,howmanymileshighwouldthatstackbe?

c. Thedistancefromthemoontotheearthisabout239,000miles.Howmanypennieswouldneedtobeinastackinordertoreachthemoon?

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