Free Printable Milestones Review Packet - 7th Grade Math

1.

For questions 1-4, find the decimal form of the given number. 1. -1/4

a)

-0.25

b)

0.25

c)

-4.0

d)

-0.4

2.

For questions 1-4, find the decimal form of the given number. 2. 2 5/9 ________

a)

2.56

b)

2.45

c)

2.59

d)

2.63

3.

For questions 1-4, find the decimal form of the given number. 3. 5/8 ________

a)

0.625

b)

0.58

c)

0.85

d)

0.75

4.

Timothy bought 9 tomatoes for $4 at a farm stand. What is the price per tomato in decimal form? Round your answer to the nearest hundredth.

a)

$0.44

b)

$0.39

c)

$0.50

d)

$0.36

5.

James worked for 16 hours last week and was paid $157. How much did James earn per hour to the nearest cent?

(a)

6.

For questions 7-8, use <, >, or = to compare the numbers. 7. 9.95 _____ 9 10/11

a)

>

b)

<

c)

=

d)

≤

7.

For questions 7-8, use <, >, or = to compare the numbers. 8. 3/8 _____ 0.37

a)

<

b)

>

c)

=

d)

None of these

8.

Which of the following is NOT a point that should be plotted on the number line for question 9?

a)

2 2/5 (2.4)

b)

1.87

c)

-1

d)

3.5

9.

Jimmy measured four pieces of wood. Their measures are 4.2 ft, 9/2 ft, 4.02 ft, and 4 2/9 ft. What is the length of the shortest piece?

a)

4.02 ft

b)

4.2 ft

c)

9/2 ft

d)

4 2/9 ft

10.

Jimmy measured four pieces of wood. Their measures are 4.2 ft, 9/2 ft, 4.02 ft, and 4 2/9 ft. What is the length of the longest piece?

a)

4.5 ft (9/2 ft)

b)

4.2 ft

c)

4.02 ft

d)

4 2/9 ft

11.

For questions 11-15, write answers in simplest form. 11. -0.7 + 2.1 = __________

a)

1.4

b)

-1.4

c)

2.8

d)

-0.8

12.

For questions 11-15, write answers in simplest form. 12. -49 - (-49) = ________

a)

0

b)

-98

c)

-49

d)

49

13.

13. 7/8 + (-3/4) = _______

a)

1/8

b)

5/8

c)

2/4

d)

7/4

14.

14. 8 3/4 - 10 2/3 = ______

a)

11/12

b)

1/12

c)

1/6

d)

1/11

15.

For questions 11-15, write answers in simplest form. 15. 2/3 - (-1/3) = ___

a)

1

b)

-1

c)

2/3

d)

-2/3

16.

On a cold winter day, the low temperature was 10°F. Due to the wind chill, it felt like -18°F. What was the difference between the actual temperature and the wind chill temperature?

a)

28°F

b)

8°F

c)

8°F

d)

18°F

17.

A submarine is at a depth of 400 meters below sea level. The submarine then rises by 185 meters. What is the depth of the submarine now?

a)

215 meters above sea level

b)

215 meters below sea level

c)

585 meters below sea level

d)

585 meters above sea level

18.

18. -52/4 = _______

a)

-13

b)

13

c)

-12

d)

12

19.

4.41 ÷ 9 = _______

a)

0.49

b)

0.39

c)

0.59

d)

0.29

20.

20. -15.2 · 3.6 = _______

a)

-54.72

b)

54.72

c)

-18.8

d)

5.47

21.

5/6 ÷ 8/9 = (a)

22.

22. 2/3 · 2 1/4 = _______

a)

1 1/2

b)

2 1/4

c)

3 1/3

d)

1 2/3

23.

23. -64 · 5/8 = (a)

24.

Which statement below is ALWAYS true?

a)

The product of a number and zero is equal to that number.

b)

The product of two negative numbers is negative.

c)

The product of a positive number and a negative number is positive.

d)

The product of two positive numbers is positive.

25.

A baseball was pitched at a speed of 75.2 miles per hour. A tennis ball was served at a speed of 1.5 times faster than this. How much faster was the speed of the tennis ball than the speed of the baseball?

a)

37.6 miles per hour faster

b)

50.2 miles per hour faster

c)

25.1 miles per hour faster

d)

112.8 miles per hour faster

26.

1. Simplify each expression: 12y – 4y

a)

8y

b)

16y

c)

9y

d)

6y

27.

Simplify each expression: 3h – 10h + 6h

a)

-h

b)

13h

c)

3h

d)

h

28.

Simplify each expression: 4(3p – 1) + 9

a)

12p + 5

b)

12p – 5

c)

12p + 13

d)

12p – 7

29.

Simplify each expression: 13 – 5(m + 4)

a)

-5m - 7

b)

-5m + 9

c)

-5m + 7

d)

-5m - 20

30.

Factor each expression into simplest form: 3x – 27 = ___ (x - ____)

a)

3(x - 9)

b)

3(x - 3)

c)

3(x - 6)

d)

3(x - 27)

31.

Factor each expression into simplest form: 10 – 5k = ( ____ - k ) ____

a)

5(2 - k)

b)

2(5 - k)

c)

5(2 + k)

d)

10(1 - k)

32.

Which of the following expressions has the same meaning as “increase by 20%”?

a)

0.2n

b)

0.8n

c)

1.2n

d)

1.8n

33.

Which mathematical inequality represents the following sentence? “Five more than one-third of a number is less than or equal to negative four”

a)

1/3x + 5 > -4

b)

1/3x + 5 ≥ -4

c)

1/3x + 5 < -4

d)

1/3x + 5 ≤ -4

34.

Six less than twice a number is equal to ninety. Write the equation.

a)

2x - 6 = 90

b)

2x + 6 = 90

c)

x - 6 = 90

d)

2x - 90 = 6

35.

Three-eighths of a number is at most seventy-two. Write the inequality.

a)

(3/8)x ≤ 72

b)

(3/8)x ≥ 72

c)

(8/3)x ≤ 72

d)

(3/8)x = 72

36.

The difference between a number multiplied by seven and fourteen is greater than nine. Write the inequality.

a)

7x - 14 > 9

b)

7x + 14 > 9

c)

7x - 14 < 9

d)

7x + 14 < 9

37.

The quotient of a number and eight, increased by 3/4, is at least -1/4. Write the inequality.

4 lines

38.

Michael bought 4 pairs of socks. He paid $7.16 after using a$ 2-off coupon. Write an equation that can be used to find the regular price, p, of a pair of socks.

a)

4p - 2 = 7.16

b)

4p + 2 = 7.16

c)

4p = 7.16 - 2

d)

p - 2 = 7.16

39.

Matthew had $4.10 in his pocket. He bought 3 notebooks. Now he has$ 0.35 in his pocket. Which equation below can be used to find how much each notebook, n, costs?

a)

4.10 - 3n = 0.35

b)

3n - 0.35 = 4.10

c)

4.10 + 0.35 = 3n

d)

3n + 4.10 = 0.35

40.

Solve the equation for the given variable: 19 = 3x + 7

a)

x = 4

b)

x = 3

c)

x = 5

d)

x = 6

41.

Solve the equation for the given variable: 5.2 = 1.4y - 1.8

a)

y = 5

b)

y = 3

c)

y = 7

d)

y = 2

42.

Solve the equation for the given variable: -8 + 1/5z = 0

a)

z = 40

b)

z = -40

c)

z = 8

d)

z = -8

43.

Solve the equation for the given variable: -2(c + 6) = 1

a)

c = -6.5

b)

c = -7

c)

c = 5

d)

c = 6.5

44.

Solve the inequality and graph the solution on the number line: 6x + 7 > -17

a)

x > -4

b)

x < -4

c)

x > 4

d)

x < 4

45.

Solve the inequality and graph the solution on the number line: 1/2x - 3 ≤ -1

(a)

46.

Ben had $112 in his savings account. Then he deposited the same amount of money into his savings account in each of the next 4 months. Now he has$ 333 in his savings account. How much money, m, did Ben deposit each month?

a)

$55.25

b)

$60.00

c)

$44.00

d)

$50.50

47.

Nick bought a bag of jelly beans. He ate 15 jelly beans and then gave one-third of the remaining jelly beans to his brother. If he gave 25 jelly beans to his brother, how many jelly beans, j, were in the bag that Nick bought?

a)

60

b)

45

c)

75

d)

90

48.

For how many hours, h, did Michael rent the canoe if he spent $78.50 in all?

a)

6

b)

4

c)

8

d)

10

49.

At the deli, sandwiches with 6 ounces of meat cost $3.89. You can order extra meat for$ 0.25 per ounce. If Greg’s sandwich cost him $5.14, how much extra meat, m, did he order?

a)

5 ounces

b)

2 ounces

c)

3 ounces

d)

7 ounces

50.

The perimeter of a rectangle is equal to twice the sum of its length and its width. One rectangle has a length of 13 inches and a perimeter of 42 inches. Write an equation that can be used to find the width, w, of the rectangle.

a)

2(13 + w) = 42

b)

13 + 2w = 42

c)

2(13w) = 42

d)

13 + w = 42

51.

For questions 1-3, find the unit rate. 1. Melanie rode her bike for 7/8 mile in ¼ hour.

a)

3.5 miles per hour

b)

2 miles per hour

c)

1.75 miles per hour

d)

7 miles per hour

52.

For questions 1-3, find the unit rate. 2. George walked ½ mile in 8 ½ minutes.

a)

0.0588 miles per minute (or about 1 mile in 17 minutes)

b)

0.25 miles per minute (or about 1 mile in 4 minutes)

c)

0.12 miles per minute (or about 1 mile in 8 minutes)

d)

0.5 miles per minute (or about 1 mile in 2 minutes)

53.

For questions 1-3, find the unit rate. 3. A baker can prepare 2 ½ dozen muffins in ¼ hour.

a)

10 dozen muffins per hour

b)

5 dozen muffins per hour

c)

7 dozen muffins per hour

d)

12 dozen muffins per hour

54.

Ben is buying a refrigerator that costs $849. If the sales tax rate is 8%, how much tax will Ben have to pay on the refrigerator?

a)

$67.92

b)

$84.90

c)

$59.99

d)

$75.00

55.

The regular price of a sweater is $32. For a sale, the price of the sweater is marked down 30%. What is the sale price of the sweater?

a)

$22.40

b)

$25.60

c)

$19.20

d)

$28.00

56.

Cara hiked 14 miles in 4 hours. Leslie hiked 21 miles in 6 hours. Do these rates demonstrate a proportional relationship?

a)

Yes

b)

No, because the rates are not equal.

c)

No, because the distances are different.

d)

No, because the times are different.

57.

Which pair of ratios does NOT demonstrate a proportional relationship?

a)

8/12 and 6/9

b)

9/24 and 6/16

c)

12/15 and 15/20

d)

27/36 and 6/8

58.

The lunch platter at one restaurant costs $7. Write an equation that shows the total cost, c, of p people buying the lunch platter.

a)

c = 7p

b)

c = p + 7

c)

c = 7 + p

d)

c = p/7

59.

On a map, 3 cm represent 60 km. What is the constant of proportionality (unit rate)?

a)

20 km per cm

b)

15 km per cm

c)

30 km per cm

d)

10 km per cm

60.

The Miller’s electric bill jumped from $84 in May to$ 105 in June. What is the percent increase in their electric bill?

a)

25%

b)

20%

c)

30%

d)

15%

61.

Look at the figures below. Do the corresponding sides form a proportional relationship? (Triangle ABC: sides 10 ft, 6 ft; Triangle DEF: sides 5 ft, 3 ft)

a)

Yes

b)

No, because the ratios are not equal

c)

No, because the triangles are not similar

d)

No, because the side lengths are not multiples

62.

What is the missing value in the following proportion? n = _______ 8/40 = 12/n

a)

60

b)

24

c)

36

d)

48

63.

The price of a lawnmower went from $450 in May to$ 460 in September. What is the percent of decrease?

a)

There is no percent decrease; it is a percent increase of about 2.22%.

b)

There is a percent decrease of about 2.17%.

c)

There is a percent decrease of about 1.5%.

d)

There is a percent decrease of about 5%.

64.

Write an equation that represents the proportional relationship shown in the table. x: 6, 4, 2; y: 3, 2, 1

a)

y = 0.5x

b)

y = 2x

c)

y = x + 1

d)

y = x - 1

65.

Jesse is buying a stereo that costs $799. If the sales tax is 7%, how much will Jesse have to pay for the stereo?

a)

$1,358.30

b)

$55.93

c)

$854.93

d)

$239.70

66.

The regular price of a DVD is $24. During a sale, the price of a DVD is marked down 30%. What will be the sale price of the DVD?

a)

$16.80

b)

$24.30

c)

$23.70

d)

$72.00

67.

A clothing store is having an anniversary sale. Every piece of clothing in the store is marked down 15%. What is the sale price of a belt that has a regular price of $23?

a)

$34.50

b)

$19.55

c)

$3.45

d)

$26.45

68.

Which of the following graphs shows a proportional relationship?

a)

[Graph A]

b)

[Graph B]

c)

[Graph C]

d)

[Graph D]

69.

For every box of candy you get __ pieces. (Boxes of Candy (x): 2, 5, 9, 7, 10; Pieces of Candy (y): 32, 80, 144, 112, 160)

a)

16

b)

10

c)

20

d)

12

70.

For every can of paint you could paint __ bird houses. (Cans of Paint (x): 5, 10, 6, 9, 2; Bird Houses Painted (y): 15, 30, 18, 27, 6)

a)

3

b)

2

c)

5

d)

6

71.

Every chocolate bar has __ calories. (Chocolate Bars (x): 6, 4, 10, 3, 8; Calories (y): 1,212, 808, 2,020, 606, 1,616)

a)

202

b)

150

c)

350

d)

500

72.

For questions 22-25, write an equation in the form of y = kx for each graph of a proportional relationship. 22. (Graph with points (0,0), (3,9), (6,18), (9,27), (12,36), (15,45))

a)

y = 3x

b)

y = 2x

c)

y = 4x

d)

y = 5x

73.

For questions 22-25, write an equation in the form of y = kx for each graph of a proportional relationship. 23. (Graph with points (0,0), (7,21), (14,42), (21,63), (28,84), (35,105)) Write the equation in the form y = kx: ____________

a)

y = 3x

b)

y = 2x

c)

y = 5x

d)

y = 7x

74.

For questions 22-25, write an equation in the form of y = kx for each graph of a proportional relationship. 24. (Graph with points (0,0), (5,25), (10,50), (15,75), (20,100), (25,125)) Write the equation in the form y = kx: ____________

a)

y = 5x

b)

y = 10x

c)

y = 25x

d)

y = 2x

75.

For questions 22-25, write an equation in the form of y = kx for each graph of a proportional relationship. 25. (Graph with points (0,0), (10,90), (20,180), (30,270), (40,360))

a)

y = 9x

b)

y = 10x

c)

y = 8x

d)

y = 12x

76.

Tom has a box that holds 13 blue marbles, 9 purple marbles, 3 white marbles, and 20 red marbles. He pulls one marble out of the box without looking. Find the probability of each color below.

a)

P(blue) = 13/45, P(purple) = 9/45, P(red) = 20/45

b)

P(blue) = 9/45, P(purple) = 13/45, P(red) = 20/45

c)

P(blue) = 13/42, P(purple) = 9/42, P(red) = 20/42

d)

P(blue) = 13/45, P(purple) = 3/45, P(red) = 20/45

77.

What is the P(0)?

(a)

78.

What is the P(odd number)?

(a)

79.

What is the P(number less than 6)?

a)

100%

b)

25%

c)

0%

d)

75%

80.

What is the P(3)?

(a)

81.

If the spinner is spun 200 times, about how many times would you expect the spinner to land on a 5?

4 lines

82.

Grace tossed a coin and rolled a number cube numbered 1-6. What is the probability of tossing heads on the coin? What is the probability of rolling an odd number on the number cube? Are the outcomes equally likely? Why?

a)

Probability of heads: 1/2. Probability of odd number: 3/6 or 1/2. Are the outcomes equally likely? Yes. Why? Both have equal chances (fair coin and fair die).

b)

Probability of heads: 1/3. Probability of odd number: 2/6. Are the outcomes equally likely? No. Why? The coin and die have different probabilities.

c)

Probability of heads: 1/6. Probability of odd number: 1/2. Are the outcomes equally likely? No. Why? The coin is less likely to land heads.

d)

Probability of heads: 1/2. Probability of odd number: 2/6. Are the outcomes equally likely? No. Why? The die is not fair.

83.

Nick is trying to determine the favorite food of students in his school. Which sample below would be a random sample?

a)

all of Nick’s friends

b)

every third student entering the school in the morning

c)

the students who are on the bus with Nick

d)

the students in Nick’s math class

84.

Bella plans to study the amount of time students in her school spend on homework. Which sample below is biased?

a)

sample consisting of students in the honors classes

b)

sample consisting of every fifth student who enters the cafeteria during lunchtime

c)

sample consisting of one student randomly chosen from every homeroom

d)

sample consisting of every tenth student from an alphabetical list of all students in the school

85.

Mary drives to work every morning. The list below shows the time, in minutes, it took her to drive to work on 11 different days. 21, 22, 22, 23, 24, 25, 25, 26, 26, 35, 38 What is the lower quartile of the data set?

a)

22 minutes

b)

24 minutes

c)

25 minutes

d)

30 minutes

86.

What is the mode number of siblings?

(a)

87.

What is the mean number of siblings?

a)

3

b)

1

c)

5

d)

0

88.

Are there any outliers? If so, what?

4 lines

89.

How does the outlier affect the mean?

a)

The outlier increases the mean.

b)

The outlier decreases the mean.

c)

The outlier has no effect on the mean.

d)

The outlier makes the mean zero.

90.

The golf scores of the members of a golf team for 18 holes were 89, 90, 87, 95, 86, 102, 79, and 108. What is the mean absolute deviation of the scores?

a)

Choose this one

b)

This is wrong do not click

91.

The following list shows the annual number of wins that a baseball pitcher had in each of his twenty years as a baseball pitcher. 7, 9, 9, 10, 10, 13, 17, 18, 18, 19, 20, 21, 24 What is the lower quartile (Q1)?

a)

10

b)

9

c)

13

d)

18

92.

The following list shows the annual number of wins that a baseball pitcher had in each of his twenty years as a baseball pitcher. 7, 9, 9, 10, 10, 13, 17, 18, 18, 19, 20, 21, 24 What is the median number of wins (Q2)?

a)

17

b)

13

c)

18

d)

19

93.

The following list shows the annual number of wins that a baseball pitcher had in each of his twenty years as a baseball pitcher. 7, 9, 9, 10, 10, 13, 17, 18, 18, 19, 20, 21, 24 What is the upper quartile (Q3)?

a)

19

b)

18

c)

21

d)

17

94.

The following list shows the annual number of wins that a baseball pitcher had in each of his twenty years as a baseball pitcher. 7, 9, 9, 10, 10, 13, 17, 18, 18, 19, 20, 21, 24 What is the inter-quartile range (IQR)?

a)

9

b)

7

c)

11

d)

5

95.

The following list shows the annual number of wins that a baseball pitcher had in each of his twenty years as a baseball pitcher. 7, 9, 9, 10, 10, 13, 17, 18, 18, 19, 20, 21, 24 What is the maximum number of wins?

a)

24

b)

21

c)

19

d)

18

96.

According to the plot above, which ending did most of the audiences prefer?

a)

First ending

b)

Second ending

c)

Third ending

d)

Fourth ending

97.

What was the median rating for the first ending? _____ second ending? _____

a)

First ending: 80, Second ending: 70

b)

First ending: 70, Second ending: 80

c)

First ending: 75, Second ending: 75

d)

First ending: 85, Second ending: 65

98.

What was the range of the ratings for the first ending? _______ second ending? _____

a)

First ending: 30, Second ending: 40

b)

First ending: 20, Second ending: 50

c)

First ending: 40, Second ending: 30

d)

First ending: 25, Second ending: 35

99.

Which ending’s ratings were more spread out?

4 lines

Milestones Review Packet - 7th Grade Math - Unit 1 Number System

Total questions: 99

Worksheet time: 3570secs

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