MM1 - · PDF file3 1) Order these numbers from least to greatest. 18.2 18.81 18.09 18.04...

1

1. Circle the letter that correctly lists the factors for the number given?

a) 4: 4, 8, 12, 16, 20, … b) 28: 1, 2, 4, 7, 14, 28c) 24: 1, 2, 4, 6, 8, 12, 24 d) 6: 6, 12, 18, 24, 30,…

2. Write 5.08 as a mixed number in lowest terms:

3. Use exponents to write the prime factorization of 464.

4. What is the least common multiple of 24 and 32?

5. Lin Yao bought 43.4 pounds of jelly beans and Michael bought 43.19 pounds. Who bought more?

missing 3 these are multiples (more than or = to the number)

these are multiples (more than or = to the number)

5 8/100 = 5 2/25 464

116 4

2 24 29

2 2

24 29

List all the multiples (more or equal) of 24 and see which is a product of 32 also.

24: 24, 48, 72, 96, 32(3) = 96 and 24(4) = 96

Both bought over 43 pounds. So compare the place values after the decimal

Lin Yao has 4/10 and Michael 1/10Lin Yao bought more.

MM1

2

6. Write 0.85 as a fraction in lowest terms.

7. 9 1/2 + 5/6 = 8. 31/5 ∙ 1

3/4 =

9. 6 2/14 – 1 4/7 = 10. 3 3/4 ÷

3/5 =

11. A car traveled 268.4 miles on 9 gallons of gas. Assuming the same rate of gas consumption, how far could this car travel on 11 gallons of gas? Round your answer to the nearest tenth.

12. The Jacket Superstore is having a “35% off” sale this month. Todd is figuring the sale price of a winter jacket normally priced at $89.99. How much will he pay?

MM1 cont. 85/100 = 17/20

When adding or subtracting you need common denominators.

9 3/6 + 5/6 = 9 8/6 = 10 2/6 = 10 1/3

16/5 7/4 = 112/20 = 5 12/20 = 5 3/5

When multiplying or dividing you need fractions!You might be able to prereduce!!!

When adding or subtracting you need common denominators.6 2/14 1 8/14

5 16/14 1 8/14= 4 8/14 = 4 4/7

Remember you cannot subtract backwards you will need to regroup (borrow from the whole).

15/4 ÷ 3/5 15/4 5/3 = 75/12 = 6 1/4

When multiplying or dividing you need fractions!

Don't flip out flip over!!!

268.4 Miles

Gallons 9 11

x(268.4)(11) ÷ 9 = 328.04

Rounded: 328.0 miles

When rounding to the tenths place the number must end in the tenths place.

If he gets 35% off then he pays for 100 35 = 65%

65% of 89.99 means

0.65(89.99) = 58.4935 or $58.49

65 x

100 89.99

3

1) Order these numbers from least to greatest. 18.2 18.81 18.09 18.04 18.203

_______ _______ _______ _______ _______ Least Greatest

2) Determine the correct value of each letter on the number line. Use these numbers: 52% 6/5 0.77 42.5%

16/25

A = ______ B = ______ C = ______ D = ______ E = _____

3) Andrew ate 5 pieces of pizza and Sue ate 7 pieces of pizza. How many more pieces of pizza did Sue eat than Andrew?

A. 2 B. 12 C. 1 D. 1

4)

MM3

58

58

58

38

5) Wheelz Bicycle Shop is offering deep discounts in its “Going Out of Business” sale. Find the sale price of a $127.50 bicycle if all of the bicycles are being sold at “30% off” during the sale.

Evaluate each expression if x = 9, y = 5, and z = 2

6) x 7) 6y – (x + 2 ∙ 4) 3

8) 5y – 7 9) 2x + 3z x 12

18.218.04 18.09 18.203 18.81

52% 6/50.7742.5% 16/25

7 1/8 5 3/4 =7 1/8 5 6/8 =6 9/8 5 6/8 =1 3/8

34

18

2 3/7 1 3/4 =17/7 7/4 = 119/28 = 4 7/28 = 4 7/28 = 4 1/4

127.50

100

30% off means I pay 100%30%=70%

127.50(70) ÷ 100 = $89.2570

x

= = 3 93 6(5) (9 + 2 4) =

6(5) (9 + 8) = 6(5) 17 = 30 17 = 13

a fraction isa hidden...

5(5) 7 925 7 9

= = 218 9

2(9) + 3(2) 1218 + 6 12

= = 2 2412



4

10) Sally makes $126 for washing 14 cars. At this rate, how much money could she make washing 38 cars?

11) Fill in the missing values, then find a rule that works for all values.

Rule:______________________

12) a) Use the rule shown in the table to complete the table:

b) Make a line graph of y = 2x +3 by plotting the points from your table. Example: plot the point (1, 5) then move on to the other points.

MM3 cont.

126

14 38

x

÷

$

cars126(38) 14 = $342

3 3 3 3 3

13 16

y = 3x + 110

when x = 2: 2(2) + 3 = 4 + 3 = 7 when x = 3: 2(3) + 3 = 6 + 3 = 9 when x = 4: 2(4) + 3 = 8 + 3 = 11 when x = 5: 2(5) + 3 = 10 + 3 = 13

7 9 11 13

Pick a number for x and evaluate for y. Don't forget to use GEM/DA/Sx y

0 31 52 73 9

5

1.) What is the decimal equivalent to 4 .___________2.) Tell whether 0.407 is >, <, or = to 0.416. __________3.) If 12 pieces of candy are divided among 5 people, what portion of the candy will each person receive?

Improper fraction: _________mixed number: ______________4.) Write a fraction in the blank to make the following statement true:

∙ __________ = 1

5.) Simplify ÷ = ____________________

6.) A coach paid a total of $175 for 14 baseball uniforms. What was the price of each uniform? ____________

7.) What percent of 240 is 18? _____________________

MM 4 5 16 4.3125

< (Less than)

12 5

25 2

47

= 34

9 10

3 10 30 54 9 36 6

74

=

175 x 14 1

$# of uniforms

175(1) ÷ 14 = $12.50$12.50

18 x

240 100

18(100) ÷ 240 = 7.5%

Draw the line over the is"Is sets 18 apart from the rest."18 is the part and 240 is the whole.

6

8.) Change the following percent to its decimal and fraction equivalent in lowest terms: 72 %.

decimal: ________ fraction: ________________

9.) What is the value of the following expression? 3 ∙ 12 – 6 ∙ 5

10.) Describe the pattern for the given number sequence: 2, 6, 18, 54...

11.) Adam has a bowl that contains gumdrops all the same size. The bowl contains these gumdrops: 10 green gumdrops, 10 red gumdrops, 10 yellow gumdrops, and 5 purple gumdrops. Adam takes one gumdrop from the bowl at random. What is the probability that it will be purple? (Write your answer as a fraction in lowest terms)

MM 4 cont.

72 18 100 250.72 =

Use GEM/DA/S

3(12) 6(5) = 36 30 = 6

Start at 2 and multiply the previous term by 3 to get the new term.

There are a total of 35 gum drops the probability of getting a purple gum 5/35 because the probability is the ways to win/total

5/35 or 1/7

7

1.) Without using a calculator, find 32.26 ÷ 10. ________________

2.) Replace each with <, >, or = to make a true statement.

a.) 3 b.) 7 11 8 3.) Simplify ‐ = ‐ =

4.) What is 0.75217 rounded to the nearest hundredth? _________

5.) Jodi has 29 ounces of milk. How many 3 ounce glasses can she fill? ________

6.) Evaluate (w + 2y) ÷ 2 when w = 6 and y = 8. __________

MM5

0.33 0.875

56

14

10 3 12 12

7 12

3.226

< =

0.75

ounces

glasses

29x

3

23

23

1

29 ÷ 329 ÷

23

11 3

29 = =7

3 11

8711

1011

1011

7 glasses

(6 + 2(8))÷2(6+ 16)÷2 = 22÷2 = 11

11

8

7.) The Stewart triplets each bought and $8 ticket to the baseball game and a $3 soda. Write an equation using the distributive property which will help determine how much money the triplets spent.

equation: ____________________

money spent: _____________________________________

8.) For every 8 dolls that Anna makes, she uses 3.9 meters of lace. Find out how much lace she will need to make five dolls.

9.) In Caroline’s sixth grade class 2 students like vegetables, 20 like meat, and 8 like dessert. What percent of her class like dessert?

10.) Evaluate the expression 9 + 2 ∙ 4 ÷ 8. _________

11.) What is the prime factorization of 162? _________

MM5 cont.

3(8 + 3) = 3(8) + 3(3)

3(11) = 33 or 24 + 9 = 33

dollslace

83.9

5 x

(3.9)(5) = 19.519.5 ÷ 8 = 2.4375 meters

Total number of students: 2 + 20 + 8 = 30 part 8 whole 30= = 0.26 = 26.6%

9 + 2 4 ÷ 8 = 9 + 8 ÷ 8 = 9 + 1 = 1010

162 2 81

9 9 3 3 3 3

2 34

9

1.) Find the product without using a calculator. SHOW YOUR WORK. 0.92 ∙ 0.3

2.) Simplify ∙ . ___________

3.) Write in lowest terms. ________

4.) Milton 2 feet of rope, and his brother has 3 feet of rope. How much rope do they have altogether?

5.) Order the following numbers from least to greatest:

______ ______ ______ ______ ______

6.) Daniel drove 893.2 miles in 10 days. He drove the same number of miles each day. How many miles did Daniel drive each day?

0.92 x 0.3 0276

3 decimal places in the problem so 3 in the answer.

MM6

0.276

1 29 3

2 27

84 132

7 11

14

23

2 1/4 + 3 2/3 = 2 3/12 + 3 8/12 = 5 11/12 feet

13.625 13.75 13.5

13 5/8 13.755 13.652 54 4

110 8

Remember that a fraction is a hidden division problem.

893.2

10 1

miles

days

893.2(1) ÷ 10

89.32 miles

10

7.) Ed had 30 comic books. He sold 24 comic books. What percent of his total number of comic books did Ed sell?

8.) The NCAA men’s basketball tournament starts with 64 teams. After the first round, there are 32 teams left; after the second round there are 16 teams left, and so on. Complete the pattern until there is only one team left. How many rounds does it take to determine a winner?

9.) Which number is the greatest? , 0.44, 87.6%,

10.) Change the following fraction to its decimal and percent equivalent:

decimal: ___________ percent: __________

11.) What is the theoretical probability that the spinner will land on an odd number?

MM6 cont.

part whole

2430 = 0.8 = 80%

64, 32, 16, 8, 4, 2, 1round 1

round 2

round 3

round 4

round 5

round 66 rounds

78

19

0.875 0.876 0.1

1824

0.75 75%

There are 5 odd numbers {1, 3, 5, 7, 9} and 9 numbers total on the spinner. Wins

Total

5/9

11

1) Donny spins Spinner 1 and then Spinner 2 to get random numberletter combinations. a) Draw a tree diagram that shows all

the possible outcomes.

b) What is the probability of spinning a numberletter combination that begins with the number 4? (Write your answer as a fraction in lowest terms)

2) Find the missing angle measures below:

MM7

1

2

3

4

5

1T1Q1R1S2T2Q2R2S3T3Q3R3S4T4Q4R4S5T5Q5R5S

4/20 = 1/5 There are 4 possibilities starting with the number 4 and 20 total possibilities.

WinsTotal

180(3) = 540

540 101 126 79 103 = 103

180 72 46 = 62

180(2) = 360

360 88 124 85 = 63

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MM7 cont.3) The perimeter of a rectangular garden is 160 yards. The width of the garden is 45 yards. What is the length of the garden?

A. 70 ftB. 25 ftC. 90 ftD. 35 ft

L

L4545 160 45 45 = 70

70 ÷ 2 = 35 ft

4.

Supplementary

Adds to

180 124 = 565) Which is the least common denominator that can be used to add and ?

6) Ashley biked 32 miles in 2 hours. Mike biked 12 miles in 1 hour. How much farther can Ashley bike than Mike in 5 hours if they both continue at the same rate?

7) Sharon received $80 for her birthday last week. She spent $52 on new rollerblades. What percent of her birthday money did she spend?

38

5 14

14: 14, 28, 42, 56, 70, 8: 8, 16, 24, 32, 40, 48, 56

Least common denominator is 56

32 2

x5

miles

hours

Ashley: (32)(5) ÷ 2 = 80

miles

hoursx5

12 1

Mike: (12)(5) ÷1 = 6080 60 = 20 miles

part whole

5280

= 0.65 = 65%A fraction is a hidden...

13

MM 7 cont.8) The perimeter P of a square can be found using the formula P = 4s, where s represents the length of one side.

a) Find the perimeter if s = 8 cm

b) Find the perimeter if s = 5 cm

c) How did the perimeter of the square change when the length of one side was decreased by 3?

9) What is the prime factorization of 108? Use exponents to show repeated factors.

10) What is the interior angle sum of a 16‐gon?

11) Write an equation for the following table:

8 + 8 + 8 + 8 = 40 cm

5 + 5 + 5 + 5 = 20 cm

3(4sides) = 12 less than it was before.

108 4 27

2 2 3 9 3 3

22 33

S = 180(162)S = 180(14)S = 2,520

+ 6

01

33

+ 6

+ 6

y = 6x 3

14

1) Last week, Harry walked his dog 4 days at a nearby park. Each day they walked on a trail 2,400 meters long. How many kilometers did they walk at the park last week? a) 9,600 kilometers b) 960 kilometers c) 96 kilometers d) 9.6 kilometers

2) Susan has a box that contains 4 yellow, 8 green, 10 orange, and 3 red markers. Susan randomly selects a marker from the box. What is the probability that she does not select a yellow or orange marker? (Write your answer as a fraction.)

3) What is the measure of angle A?

a) 42° b) 50° c) 58° d) 100°

4) Marta and Jeff each ordered pizzas ‐ the same size pizza. Marta cut her pizza into 13 pieces, and ate 6 pieces. Jeff cut his pizza into 12 pieces and ate 5 pieces. Who ate more pizza? Explain how you know.

MM 8

2,400 x

1 4

4(2400) = 9,600m

9600 1000

x 1

m

day m

km

9,600 ÷ 10009.6 km

Total number of markers = 25There are 21 markers that are not yellow.

21/25

Angle 1 and Angle 2 are supplementary (they add together to get 180 degrees.

Triangles have 180 degrees in them.

180 138 = 42

180 42 80 = 58

6 13Marta:

Jeff:

A fraction is a hidden .....≈ 0.4615

5 12≈ 0.4617

Jeff ate more his fraction is bigger.

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5) In a survey, 20 students were asked their favorite breakfast food. The table below shows the results. Use the table to answer the following questions.

a) What is the probability that a student likes muffins? (write your answer as a fraction in lowest terms)

b) How many students out of 100 would you expect to like muffins?

c) Predict how many students out of 500 would like muffins.

6) multiply: 0.14 x 1.6 (NO CALCULATOR – SHOW YOUR WORK)

7) Andy wants to buy 3 cups of cashews. There are cashews in each package. How many packages of cashews should Francis buy?

MM 8 cont.

Total: 20

8/20 = 2/5

2 x5 100 (2)(100) ÷ 5 = 40 students

2 x5 500

(2)(500) ÷ 5 = 200 studentsor

Make equivalent fractions

0.14 1.6 84 140224

2

1+

Since the problem has a total of 3 decimal places the answer must have a total of 3 decimal places. Answer: 0.224

13

56

56

1

cups

packages

13

x

33 1/3 ÷ 5/6 = 10/3 ÷ 5/6 = 10/3 6/5 = 60/15 = 4 packages

16

8) The figure is made up of a semicircle and a square. Find the perimeter and area of the figure. Use 3.14 for . Explain how you found your answer.

a) Perimeter = __________

b) Area = ______________

9) Which is the rule for the graph shown below?

a) y = 2x b) y = 2x ‐ 1 c) y = x + 1 d) y = x + 2

10) A train makes a 200 mile trip in 4 hours, traveling at a rate of r miles per hour. Which equation describes this situation? a) 200r = 4 b) 4 + r = 200 c) r ‐ 4 = 200 d) 4r = 200

MM 8 cont.

(0,2)

(2,4) (4,6)

6 + 6 + 6 + 1/2(3.14)(6) = 18 + 9.42 = 27.42

27.42 m

C = 3.14d

6(6) + 1/2 (3.14)(3)(3) = 36 + 14.13 = 50.13 m250.13 m2

check for points on the graph that work for the equations.or pick x's solve for y and see if the points are on the line.

when x = 0 which equation gives a value of 2 for y?



200 4

x 1

Find the unit rate and you know what the rate of speed of the train is in miles per hour.

200÷4 = 50 miles per hourUse this as r and see which equation works.

a.) 200(50) = 10,000 not 4

b.) 4 + 50 = 54 not 200

c.) 50 4 = 46 not 200

d.) 4(50) = 200 which is correct.

MM1 - · PDF file3 1) Order these numbers from least to greatest. 18.2 18.81 18.09 18.04...

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