the number system: hw 1 grade math number systems homewor… · the number system: hw # 1 ... the...

The Number System: HW # 1

Name: ___________________________ Date: ______________ Period: _____________

You must show all your work for each problem including the multiple choice questions to receive credit!

1. 52 x 16 =

A) 832

B) 831

C) 822

D) 812

2. 340 x 25 =

A) 8,700

B) 8,600

C) 8,500

D) 8,400

3. 501 X 46

A) 23,086

B) 23,048

C) 23,046

D) 23,038

4. A construction crew uses 578 pounds of concrete for each section of a parking garage. If the garage is going to

have 93 sections, ESTIMATE how many pounds of concrete will they need?

Answer: ______________________

5. Vanessa was making necklaces for her friends. She had 46 friends who wanted a necklace and each necklace took 97 beads. How many bead would she need total?

Answer: ______________________

52

x 16


Name: ___________________________ Date: ______________ Period: _____________


1. 327 X 268 =

A) 87,616

B) 87,626

C) 87,636

D) 87,646

2. 29 X 312 =

A) 9,048

B) 9,056

C) 5,058

D) 5,068

3. Paper Depot is sending out thirty‐three trucks to deliver paper to customers today. Each truck is being loaded with

38 cases of paper. How many cases will be delivered today?

Answer: ______________________

4. A candy store had 448 empty shelves. If each shelf can hold 565 pieces of candy, how many pieces would they need total to fill up all the shelves?

Answer: ______________________

5. A mail sorting machine can sort 470 pieces of mail a minute. If it ran for 614 minutes, how many pieces of mail would it have sorted?

Answer: ______________________

327

x 268


Name: ___________________________ Date: ______________ Period: _____________


1. 2,469 ÷ 6 =

Answer: ______________________

2. 13,632 ÷ 64 =

Answer: ______________________

3. A farmer had 868 seeds to plant. He planted the same number of seeds each day and it took him 4 days to plant them all. How many seeds did he plant per day?

Answer: ______________________

4. Quincy is trying to earn 156 dollars for some new video games. If he charges 24 dollars to mow a lawn, ESTIMATE how many lawns will he need to mow to earn the money?

Answer: ______________________

5. A real estate agent has $1,152 to spend on newspaper ads. If each ad costs $16, how many ads will the real estate agent be able to buy?

Answer: ______________________

The Number System: HW # 4 QUIZ REVIEW

Name: ___________________________ Date: ______________ Period: _____________


1. Olivia had 368 photos to put into photo albums. If each page holds 40 photos, how many full pages will she have?

Answer: ______________________

2. A restaurant needs to buy 380 new plates. If each box has 48 plates in it, ESTIMATE how many boxes will they need to buy?

Answer: ______________________

3. Mike was collecting cans for recycling. In 5 months he had collected 222 bags with 87 cans inside each bag. How many cans did he have total?

Answer: ______________________

4. 4,112 ÷ 16 =

A) 237 B) 247 C) 249 D) 257

5. 732 ÷ 12 =

A) 61 B) 62 C) 63 D) 64

6. 501 x 46 = A) 23,086 B) 23,048 C) 23,046 D) 23,038


Name: ___________________________ Date: ______________ Period: _____________


1. 57.159 + 14.206 =

A) 71.364

B) 71.365

C) 71.366

D) 71.367

2. 6.4 – 5.73 =

A) 0.61

B) 0.63

C) 0.65

D) 0.67

3. 37.1 – 29.57 =

A) 7.55

B) 7.54

C) 7.53

D) 7.52

4. Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. Did the

cashier give Melissa the correct change? Explain your answer.

Answer: ______________________

Explain: __________________________________________________________________________

__________________________________________________________________________

__________________________________________________________________________

5. Ellen wanted to buy the following items: A DVD player for $49.95, a new DVD $19.95 and a MP3 player for

$21.95. Does Ellen have enough money to buy all three items if she has $90 with her? How much will the total

bill be?

Answer: ______________________ Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. 81.4 x 6 =

A) 4.884

B) 48.84

C) 488.4

D) 4,884

2. 13.58 x 1.3 =

A) 17, 524

B) 1,752.4

C) 176.54

D) 17.654

3. 0.05 x 0.4 =

A) 2

B) 0.2

C) 0.002

D) 0.02

4. School lunches cost $14.50 per week. How much would 15.5 weeks of lunches cost?

Answer: ______________________

5. A student earns $11.75 per hour for gardening. If she worked 21 hours this month, then how much did she earn?

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. 1.44 ÷ 1.2 = A) 12 B) 1.2 C) 0.12 D) 0.012

2. 5.61 ÷ 0.3 =

A) 0.0187 B) 0.187 C) 1.87 D) 18.7

3. $2.79 ÷ 3 =

A) $0.93 B) $9.30 C) $93.00 D) $930.00

4. A store owner has 7.11 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain?

Answer: ______________________

5. What is the average speed in miles per hour of a car that travels 956.4 miles in 15.9 hours? Round your answer

to the nearest tenth.

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. Last week, Jen and Gabriela decided to see how fast they could sprint 300 meters. They asked their friend Jessica to time them with a stopwatch.

After 4.72 minutes, Jessica agreed to time the runners. Jen sprinted first and ran 300 meters in 41.85 seconds. When it was Gabriela's turn, she sped off and completed the run in 36.92 seconds.

How much faster was Gabriela than Jen in seconds?

Answer: ______________________

2. If a cab charges $2.10 per mile, how much will I be charged for 13.5 miles trip?

Answer: ______________________

3. If airline ticket to Paris costs $325.50, what will be the price of 15 tickets?

Answer: ______________________

4. 0.68 ÷ 3.4 =

Answer: ______________________

5. 0.242 ÷ 0.4 =

Answer: ______________________

6. Frank, Gina, Judy, and Connie are splitting their dinner bill. After tip, the total is $30.08. How much does each owe if

they split the bill four ways?

Answer: ______________________

7. At a fruit stand, peaches are $0.48 each and apples are $0.35 each. Paul buys 6 peaches and 4 apples.

a. How much money did 6 peaches cost?

Answer: $____________________

b. How much money did 4 apples cost?

Answer: $____________________

c. How much money did Paul spend at the fruit stand?

Answer: $____________________


Name: ___________________________ Date: ______________ Period: _____________


1. What is the greatest common factor (GCF) of 12 and 42?

Answer: ______________________

2. Which numbers have the 4 as a common factor?

A) 2, 6 B) 8, 12 C) 9, 12 D) 10, 12

3. Choose the greatest common factor (GCF) of 18 and 28.

A) 1 B) 2 C) 3 D) 9

4. What common factor can be used to reduce to the lowest terms?

A) 3 B) 4 C) 6 D) 8

5. Joanne is campaigning for class president and plans to distribute some campaign materials: 120 flyers, 45

buttons, and 30 campaign stickers. She wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?

Answer: ______________________

6. Mandy is making emergency‐preparedness kits to share with friends. She has 12 bottles of water and 16 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Mandy can make?

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. What is the least common multiple (LCM) of 12 and 7?

Answer: ______________________

2. Choose the least common multiple of 6 and 9.

A) 12 B) 18 C) 27 D) 54

3. What is the least common multiple of 6 and 10?

A) 12 B) 20 C) 30 D) 60

4. Two airport shuttle trains leave the station at the same time. Shuttle A returns to the station every 8 minutes.

Shuttle B returns to the station every 10 minutes. In how many minutes will Shuttle A and B leave the station together for the second time?

A) 10 minutes B) 18 minutes C) 40 minutes D) 80 minutes

5. Matthew goes hiking every 12 days and swimming every 10 days. He did both kinds of exercise today. How many

days from now will he go both hiking and swimming again?

Answer: ______________________

6. Hay’s Linens sells hand towels in sets of 14 and bath towels in sets of 6. If the store sold the same number of

each this morning, what is the smallest number of each type of towel that the store must have sold?

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. How can 4(3 + 9) be expressed using the distributive property?

A) 4(3) + (4 + 9) B) 4(3) + 4(9) C) 4 + 9 = 9 + 4 D) (4 +3) x (4 + 9)

2. How can you express 11 x 7 using the distributive property?

A) 7 x 11 B) (11 x 1) + (3 x 4) C) 11 x (3 x 4) D) 11(3) + 11(4)

3. How can 5(3 + 2) be expressed using the distributive property?

A) 5(3) x 5(2) B) (5 x 3) x (5 x 2) C) 5(3) + 5(2) D) (5 + 3) x (5 x 2)

4. 5(3 + 2) = ?

A) 20 B) 25 C) 30 D) 35

5. 7(5 + 4)

A) (7 x 5) + (7 x 4) B) 35 + 28 C) 63 D) All of the above

6. What is another way to write 12 x 14?

A) 11(14 + 1) B) 13(12 + 1) C) (12 x 7) x (12 x 7) D) 12(10 + 4)

7. Look at each expression. Is it equivalent to 24 + 30?

A) 5(4 + 6) yes no C) 3(8 + 10) yes no

B) 6 (5 + 4) yes no D) 4 (8 + 6) yes no


Name: ___________________________ Date: ______________ Period: _____________


Use the distributive property to find the answer for questions 1‐6.

1. 6 x 83 6 ( _____ + _____) =

2. 12 x 15 12 ( _____ + _____) =

3. 7( 6 + 24) =

Answer: ______________________ 4. 3(12 + 12) =

Answer: ______________________ 5. 8 (70 + 4) =

Answer: ______________________

6. 16(17) =

16 ( _____ + _____) =

7. Write an expression that is equivalent to 28 + 35 using the distributive property.

Answer: ______________________

8. The number 108 can be expressed as the sum 100 + 8. Which shows how to use the distributive property to rewrite that sum as a multiple of a sum whose addends have no common factors?

A) 2(50 + 4) B) 4(25 + 2) C) 5(20 + 1) D) 8(12 + 1)


Name: ___________________________ Date: ______________ Period: _____________


1. 36 + 16 = _____ ( _____ + _____)

2. 5 + 80 = _____ ( _____ + _____) List all the factors of each pair of numbers, then give the greatest common factor (GCF) for questions 3 & 4. 3. 6 and 10

6: ___________________________________

10: __________________________________ GCF: _______________

4. 8 and 52

8: ___________________________________

52: __________________________________ GCF: _______________

5. Write the next 11 multiples of 6 and 9.

6: ___________________________________ 9: ___________________________________ What are the common multiples? ________________________________________ What is the least common multiple? _______________

6. Serena wants to create snack bags for a trip she is going on. She has 9 granola bars and 51 pieces of dried fruit. If

the snack bags should be identical without any food left over, what is the greatest number of snack bags Serena can make?

7. Edeena is packing equal numbers of apple slices and grapes for snacks. Edeena bags the apple slices in groups of 24 and the grapes in groups of 9. What is the smallest number of grapes that she can pack?

8. In Cook County Library’s children’s section there are 7 shelves and 4 tables. Each shelf and table displays 12 books. Write and evaluate an expression using the Distributive Property to find how many books are in the children’s section.

____ ( ____ + ____ )

9. You have six gummy worms and eleven sticks of gum. Your friend is going to double the amount of the candies because you helped her out last Friday. You want to add all of the candies to find out how many you have. Use the distributive property to solve.

____ ( ____ + ____ )

10. Factor the following problems: a. 48 + 88

____ ( ____ + ____ )

b. 72 ‐ 27

____ ( ____ ‐ ____ )


Name: ___________________________ Date: ______________ Period: _____________


1. Which fraction is equivalent to ?

A)

B)

C)

D)

2. Which fraction is equivalent to ?

A)

B)

C)

D)

3. How can we know when two fractions are equivalent?

________________________________________________________________________________ ________________________________________________________________________________

Reduce each fraction to lowest terms for questions 4 and 5.

4.

5.

Convert the following improper fractions to mixed numbers for questions 8‐11.

6.

Answer: ______________________

7.

Answer: ______________________

8.

Answer: ______________________

9.

Answer: ______________________

Convert the following mixed numbers to improper fractions for questions 12‐15.

10. 9

Answer: ______________________

11. 8

Answer: ______________________

12. 8

Answer: ______________________

13. 12

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


Simplify your answers and write them as a proper fraction or as a whole or mixed number.

1. Last month, Carl and Gwen sold candy to raise money for their debate team. Gwen sold 1/2 as much candy as

Carl did. If Carl sold 1/3 of a box of candy, how many boxes of candy did Gwen sell?

Answer: ______________________

2. =

Answer: ______________________

3. =

Answer: ______________________

4. At Howard High School, 4/5 of the students play an instrument. Of the students who play an instrument, 1/10

play a string instrument. What fraction of the students at Howard High School play a string instrument?

Answer: ______________________

5. Kathy walks her dog of a mile everyday. How far does she walk her dog in one week?

Answer: ______________________

6. 3 4

A) 1/3

B) 1/2

C) 14

D) 5/6

7. 2

A) 2

B) 1/2

C) 2/3

D) 2

8. 4 3

A) 16

B) 15

C) 14

D) 12

9. Chris uses 1 3/5 cups of vinegar in his salad dressing recipe. How much vinegar would Chris use to make 4 2/3

recipes? Simplify your answer.

Answer: ______________________

10. Pam is mixing 3 1/5 batches of paint. If one batch calls for 2 ¾ tablespoons of detergent to add to the tempera powder, how many tablespoons of detergent will Pam need?

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. 2

Answer: ______________________

2. Margo is freezing 8 cups of strawberries. If this is of the total strawberries that were picked, how many cups of

strawberries did Margo pick?

Answer: ______________________

3. Henry bought 4 pies which he plans to share with a group of friends. If there is exactly enough to give each member of the group one‐sixth of the pie, how many people are in the group?

Answer: ______________________

4. Regina is chopping up wood. She has chopped 10 logs so far. If the 10 logs represent of all the logs that

needed to be chopped, how many logs need to be chopped in all?

Answer: ______________________

5.

A)

B)

C) 2

D) 2

6. A) 1 ½

B) 1

C) ¾

D)

7. Laura wants to cut a board into three equal pieces. The board is feet long. How long will each piece be?

Answer: ______________________

8. Tevon has pound of raisins. He divides the raisins equally into 10 snack bags. How many pounds of raisins are

in each snack bag?

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. 2 ÷ 1

A) 1

B) 1

C) 1

D) 1

2. Jeanne has 3 yards of fabric. She needs 1 yards to make a pair of pants. How many pairs of pants can she

make?

Answer: ______________________

3. Catherine got 9 pounds of cherries from her tree this year. Last year she only got 6 pounds. How many times

more pounds did she get this year than last year?

Answer: ______________________

4. Hannah made 4 cups of gelatin dessert. She divided the dessert into equal servings.

Each serving is cup. How many servings did she make?

Answer: ______________________

5. Find the quotient for each expression. Write the expression in the correct box. Be sure to show all your work in the space provided below.

EQUAL TO

EQUAL TO

WORK SPACE

6. Write the reciprocal of the following numbers.

Number

710

12 5

Reciprocal

The Number System: HW #18 Quiz Review

Name: ___________________________ Date: ______________ Period: _____________


1. Which fraction is equivalent to 5/6?

A) 20/24 B) 9/10 C) 8/18 D) 10/15

2. Which fraction is equivalent to 1/8?

A) 3/10 B) 6/40 C) 5/40 D) 4/5

Simplify the fraction for questions 3 & 4.

3.

4.

Write the missing term for questions 5 and 6.

5. =

?

Answer: ______________________

6. ?

=

Answer: ______________________

Convert the following improper fractions to mixed numbers for questions 7 & 8.

7.

Answer: ______________________

8.

Answer: ______________________

Convert the following mixed numbers to improper fractions for questions 9 & 10.

9. 8

Answer: ______________________

10. 13

Answer: ______________________

Write your answer to question 11 & 12 in simplest form.

11. 4 x 2

Answer: ______________________

12. 3 5

Answer: ______________________ 13. A photograph is 5 1/3 inches wide. It is being enlarged to 3 times its original size. What is the width of the

enlarged photograph? Write your answer in simplest form.

Answer: ______________________ 14. You have a bag that holds 25 ½ pounds. How many 1 ¼ pound books can the bag hold? Write your answer in

simplest form.

Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


1. For each letter on the number lines, identify the integer.

A) ________ B) ________ C) ________ D) ________ Draw an integer number line to help you answer questions 2 & 3. 2. What is the distance between the two numbers placed on a number line?

a) 4 and 10 ________ b) ‐2 and ‐8 ________ c) ‐12 and ‐3 ________ d) +7 and ‐3 ________ 3. Plot the following points on your number line above.

a) Mark the point that is four less than zero. Label it A. b) Mark the point that is three more than zero. Label it B. c) Mark the point that is 7 more than ‐2. Label it C.

4. Graph each described integer on the number line. What word is spelled?

E: 20 feet above sea level A: A loss of 2 dollars T: A profit of 8 dollars T: Grew 4 inches L: Deposit 15 dollars E: 8 below zero S: 14 feet below sea level

When read from left to right, the letters spell the word “_______________ .”

5. Order the following sets of numbers from least to greatest.

{‐3 , 3.3, ‐3 , 3.5} {2/3, ‐0.6, 0.65, 4/5}

Answer: ______________________ Answer: ______________________


Name: ___________________________ Date: ______________ Period: _____________


Write an integer for each situation in questions 1‐3. Explain the meaning of zero in each situation.

1. 4 inches of rain above normal Integer: __________ Explain what this means: ___________________________________________________

2. A $48 deposit into a savings account

Integer: __________ Explain what this means: ___________________________________________________

3. What integer represents sea level? _____________________

4. The record low temperature for New Mexico is 50 degrees below zero Fahrenheit. The record low temperature for Hawaii is 12 degrees above zero Fahrenheit. What integer represents the record low temperature for New Mexico?

A) 50 B) 38 C) ‐38 D) ‐50

5. Ally bought pound of cashews and pound of granola. Plot the fractions on the number line. Which quantity

is greater? Explain. _______________________________________________________________________________________

_______________________________________________________________________________________ _______________________________________________________________________________________

The Number System: HW #21

Name: ___________________________ Date: ______________ Period: _____________


1. Complete the table below. The first one is done for you.

INTEGER DISTANCE BETWEEN INTEGER AND ZERO

OPPOSITE INTEGER DISTANCE BETWEEN OPPOSITE INTEGER AND ZERO

3 3 ‐3 3

4

7

‐11

‐13

19

‐21

What can you conclude about the distance from zero for both an integer and its opposite?

_________________________________________________________________________________________________

_________________________________________________________________________________________________

2. Which is equivalent to l‐35l? A) ‐35 B) ‐3 C) 3 D) 35

Evaluate each expression.

3. l‐14l = __________ l31l – l‐1l = __________ l‐15l + l‐6l = __________

‐(‐9) = __________ ‐(‐234) = __________ l17 – 8l = __________

4. The surface of Jupiter is made of colorful clouds created by various chemicals in the atmosphere. The temperature at the top of the clouds is ‐230 degrees Fahrenheit. The temperature below the clouds in 70 degrees Fahrenheit. Which temperature has the lower absolute value?

Answer: ______________________

5. If x = ‐2 and y = 2, then which of the following statements is false?

A) lxl > 1 B) lxl = lyl C) lyl < 1 D) lxl = y


Name: ___________________________ Date: ______________ Period: _____________


Use the number line below to help you answer questions 1 & 2.

1. Calculate the distance between each pair of integers below.

a) 2 and 10 ________ b) ‐6 and ‐9 ________ c) ‐10 and ‐2 ________ d) +9 and ‐3 ________

2. Plot the following points on your number line above.

a) Mark the point that is seven less than zero. Label it A. b) Mark the point that is five more than zero. Label it B. c) Mark the point that is 5 more than ‐3. Label it C. 3. A $72 withdrawal from a savings account

Integer: __________ Explain what this means: ___________________________________________________

4. The balance of Bryce’s account is $4. Jada’s account is $5 overdrawn. What is the difference between their account balances? Use the number to help solve the problem.

Answer: ______________________

5. The table below shows the lowest elevations for several states. Is the absolute value of the lowest elevation of California greater than or less than the absolute value of the lowest elevation of Illinois? Answer: ______________________

6. The daily low temperatures in Kate’s hometown last week were 2⁰C, ‐9⁰C, ‐18⁰C, ‐6⁰C, 3⁰C, 0⁰C, and ‐7⁰C. Order

the temperatures from greatest to least.

Answer: __________________________________________________________

7. The change in four stocks during a day are: ‐4 , 5.6, ‐2 , 1.35

Order the changes from least to greatest. Answer: ______________________

STATE LOWEST ELEVATION (ft)

Oklahoma 289

Illinois 279

Kentucky 257

California ‐282


Name: ___________________________ Date: ______________ Period: _____________


1.

2.

A) __________

B) __________

C) __________

D) __________

E) __________

F) __________

G)


Name: ___________________________ Date: ______________ Period: _____________


19. Write an integer to represent each situation:

10 degrees above zero ________________

a loss of 16 dollars ________________

a gain of 5 points ________________ 8 steps backward

________________

20. Write the integers below in order from least to greatest.

‐18, 18, 2.5, ‐1, 16, ‐2 ¾, ‐17, 5, 0 ____________________________________________________________

The Number System: HW # 26 Quiz Review

Name: ___________________________ Date: ______________ Period: _____________


Fill in the blanks – Complete the following sentences using words from the box.

1. A(n) ______________________________________ is a pair of numbers (x, y) that describes the location of a point on the coordinate plane. 2. The _______________________________________________________________ is the vertical number line. 3. The first number in an ordered pair is the __________________________________________________________. 4. The second number in an ordered pair is the ________________________________________________________. 5. The ____________________________________________________ is a system of two intersecting number lines. 6. The x and y axes intersect at a point called the _____________________________________________________. 7. The ________________________________________________________________ is the horizontal number line. 8. Name the point with the given coordinates. (‐4, 2)

Point ______________________

origin x-coordinate y-coordinate

coordinate plane y-axis x-axis ordered pair

9. Name the coordinates of point A.

Answer ______________________

10. You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive and coordinates to the south or west are negative. You find nothing at (–7, 4), so you try a likely‐looking spot 8 yards to the east and 7 yards to the south of the first spot. What are the coordinates of the second spot? Use the graph to help you find your answer.

Answer ______________________

11. The coordinates of three vertices of a rectangle are (6, 4), (0, 4), and (0, ‐1). What point is the fourth vertex? Use the coordinate grid below to help find your answer.

Answer ______________________

12. Label the quadrants below (ex. Quadrant I, Quadrant II, Quadrant III, Quadrant IV)

13. Find the distance between points on the coordinate grid below. A) ____________ What is the distance in units between points C and D? B) ____________ What is the distance in units between points A and E?

14. A rectangular garden is shown below. What is the perimeter of the garden in feet?

Perimeter: __________________

15. Write the opposite of each value below.

a) ‐236 ________ b) 345.67 ________ c) 7/8 ________ d) ‐486 ________

16. Evaluate each expression.

a) ‐(‐23) ________ b) l18l ________ c) l‐20l ‐ l17l ________ d) l‐16l + l5l ________

17. A monkey sits on a limb that is 25 ft above the ground. He swings up 10 ft, climbs up 6 ft more, then jumps down 13 ft. How far off the ground is the monkey now?

A) 25 ft B) 31 ft C) 54 ft D) 28 ft

18. Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now?

A) ‐57 B) 57 C) 67 D) ‐67

19. Write an integer to represent each situation below.

a) The temperature fell twenty‐nine degrees overnight. ______________

b) Keith found 11 seashells on the beach during his vacation. ______________

c) Melanie has to pay a forty‐four dollar penalty for driving too fast. ______________

d) The stock market dropped 33 points after the bad economic news yesterday. ______________

The Number System: HW # 27 Unit Review

Name: ___________________________ Date: ______________ Period: _____________


1. A loaf of bread costs $1.79. How much would five loaves cost?

Answer: ____________________

2. Order the following numbers from least to greatest.

5.75, 5.5, 6.25, 5.25, 4, 4.5, 6

Answer: ____________________

3. In a two‐week period it was sunny 3/7 of the days. How many days were sunny?

Answer: ____________________

4. A pancake recipe calls for 2 2/3 cups of flour. If Victor wants to make 1 ½ times the recipe, how much flour does he need?

Answer: ____________________ 5. In a football game, the quarterback was tackled behind the line of scrimmage and lost 7 yards. Represent the

loss of 7 yards as an integer.

Answer: ____________________

6. The high temperatures in a city during a 5 day period were ‐6⁰, 8⁰, ‐2⁰, 6⁰, and 11⁰. Place the temperatures in order from least to greatest.

Answer: ____________________

7. Farah made 32 out of 80 shots on a goal in a recent hockey season. Write her shots made out of shots attempted as a decimal.

Answer: ____________________

8. Graph each point.

M(3, 1) P(2, -3) T(-4, 2) N(0, 4) G(-5, -3) K(-3, 3) Q(5, -2) Y(3, 0) V(0, -1) W(4, 4)

The Number System: HW #28 Unit Review

Name: ___________________________ Date: ______________ Period: _____________


1. What is another way to write ‐(‐23)?

Answer: ____________________

2. If the x and y coordinates of a point on a coordinate plane are negative, then which quadrant will the point be located?

Answer: ____________________

3. What is 13,608 ÷ 42?

Answer: ____________________

4. What symbol makes the following statement true?

‐24.5⁰C ‐21.5⁰C

A) >

B) <

C) =

D) None of the above

5. Ben has a piece of fabric that is 6 ¾ yards long. If he cuts it into pieces that are each ¾ of a yard long, how many

pieces of fabric will he have?

Answer: ____________________

6. What is the absolute value of ‐29?

Answer: ____________________

7. What is the total of the following numbers?

8.9675, 4.32, 5.68, 3.456

Answer: ____________________

8. Alex is packing his DVD and CD collection into boxes. He has 56 DVDs and 63 CDs in his collection. He wants each box to contain the same number of DVDs and CDs. What is the greatest number of boxes he can pack without having any items left over?

Answer: ____________________

9. The data set {12, 0, ‐9, 6, ‐8.5, ‐4, 3} shows the number of points scored on a class game. Graph the scores.

10. An athlete ran 43.25 miles on in one week. The next week he ran 52.7 miles. How many more miles did he run the second week?

Answer: ____________________

11. At noon on Friday, the temperature was 0°F. Six hours later the temperature was ‐18°F. On average, what was the temperature change per hour?

Answer: ____________________

The Number System Unit Review Extra Credit

Name: ___________________________ Date: ______________ Period: _____________


1. Using the distributive property, write an expression that is equivalent to 49 + 21.

Answer: ____________________ 2. Write an integer for each situation. Then graph on the number line below. A) a bank deposit of $20 ____________________ B) a loss of 10 yards ____________________ C) 5 feet above sea level ____________________ D) 7° below normal ____________________ 3. 8 ½ ÷ 2 ¾ = ?

Answer: ____________________ 4. Use the distributive property to evaluate the following expression. 4(15 + 25)

Answer: ____________________ 5. The student government raised $1,989.63 at a spring book fair. In the fall they raised $3,769.86. How much money did they earn in all?

Answer: ____________________

6. 7. What is 840,750 ÷ 25?

Answer: ____________________

8. What is located at (0, 0) on the coordinate plane? Answer: ____________________

9. A stack of newspapers is 22.5 inches thick. Each newspaper is 1.25 inches thick. How many newspapers are in the stack?

Answer: ____________________

10. List the fractions 3/5, 1/2, and 2/8 in order from least to greatest.

Answer: ____________________

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