Free Printable 1-6-22a

1.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?

a)

87 km

b)

216 km

c)

33 km

d)

192 km

2.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

a)

9ft x 10ft

b)

1ft x 2ft

c)

12ft x 6ft

d)

18ft x 20ft

3.

If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?

a)

1cm : 9ft

b)

1cm : 8ft

c)

4cm : 1ft

d)

1cm : 4ft

4.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

5.

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

a)

90 ft

b)

7.5 ft

c)

4.5 ft

d)

45 in

6.

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

a)

300 miles

b)

1000 miles

c)

900 miles

d)

600 miles

7.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

8.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

9.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

10.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

11.

Edgar drew a scale drawing of the town library. The scale of the drawing was 5 centimeters : 2 meters. The parking lot is 34 meters wide in real life. How wide is the parking lot in the drawing?

a)

85 cm

b)

68 cm

12.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

a)

15 in

b)

9 in

c)

7 in

d)

13 in

13.

Norris is doing renovations in the living room of his home. The length of the room is 22 feet, and the width of the room is 19 feet. A proportional scale drawing of the room was created that has width of 38 inches. What is the length in the scale drawing?

a)

51 in

b)

44 in

c)

50 in

d)

59 in

14.

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

a)

7.5 m

b)

13.5 m

c)

1.5 m

d)

1.7 m

15.

5. What is the scale of a drawing where a 6 m wall is 4 cm long?

a)

1 cm = .66 m

b)

1 cm = 1.5 m

c)

1 cm = 3 m

d)

1 cm = 4 m

16.

**** A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?

a)

2 feet = 50 yards

b)

1 foot = 200 yards

c)

1 foot = 100 yards

d)

1 foot = 50 yards

17.

6. On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

a)

200 miles

b)

175 miles

c)

100 miles

d)

125 miles

18.

**** On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

a)

100 km

b)

130 km

c)

70 km

d)

150 km

19.

7. A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

a)

90 ft

b)

7.5 ft

c)

4.5 ft

d)

45 in

20.

8. To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?

a)

9 cm

b)

18 cm

c)

90 cm

d)

9 m

21.

9. Tell whether each scale reduces, enlarges, or preserves the size of an actual object.
10 ft:24 in.

a)

reduces

b)

enlarges

c)

preserves

22.

10. Tell whether each scale reduces, enlarges, or preserves the size of an actual object.
1 mi:5280 ft

a)

reduces

b)

enlarges

c)

preserves

23.

11. Tell whether each scale reduces, enlarges, or preserves the size of an actual object.
20 cm:1000 mm

a)

reduces

b)

enlarges

c)

preserves

24.

15. Change both measurements to the same unit of measure, and find the scale factor.
1 ft model of a 1 in. fossil

a)

12/1

b)

6/1

c)

18/1

d)

24/1

25.

16. Change both measurements to the same unit of measure, and find the scale factor

a)

1/20

b)

1/140

c)

1/40

d)

1/100

26.

*** A scale model of a house is 1 ft long. The actual house is 36 ft long. In the model, the door is 2 in. high. How many feet high is the actual door?

a)

12 feet

b)

6 feet

c)

18 feet

d)

4 feet

27.

19. The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm:50 mi. Find the actual distances in miles.
Answers are for Austin and Galveston (respectively).

a)

145 miles and 47.5 miles

b)

317. 5 miles and 145 miles

c)

145 miles and 47.5 miles

d)

225 miles and 145 miles

28.

20. Maurice is building a 2 ft tall model of the Gateway Arch in St. Louis, Missouri. The scale is 3 in:78.75 ft. Estimate the height of the actual arch. Is your answer an overestimate or an underestimate? Explain.

a)

640

b)

600

c)

400

d)

200

29.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

30.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

31.

Scale Factor of 5 is _________________ .

a)

Reduction

b)

Enlargement

32.

Scale Factor of ½ is __________________ .

a)

Reduction

b)

Enlargement

33.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/3

c)

2/1

d)

10/3

34.

What is the scale factor from the large triangle to the small triangle?

a)

1/2

b)

2/3

c)

3/4

d)

2

35.

What is the scale factor from the smaller quadrilateral to the larger?

a)

scale factor = 4

b)

scale factor = 10

c)

scale factor = 3

d)

scale factor = 2

36.

The diagram shows a rectangle that is 4 in by 7 in in measure.

Which is the measure of a rectangle that is scaled copy ?

a)

4 in x 17 in

b)

24 in x 42 in

c)

7 in x 10 in

d)

5 in x 8 in

37.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

38.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

39.

Find missing side

a)

5

b)

7

c)

9

d)

11

40.

If the scale factor is 4, what is the measurement of x?

a)

20 m

b)

24 m

c)

16 m

d)

4 m

41.

Are the following figures scaled copies

a)

Yes!

b)

No!

42.

The scale factor is x4, the area will be how many times larger?

a)

x4

b)

x2

c)

x16

d)

x8

43.

$The\ scale\ factor\ is\times\frac{1}{3},\ what\ is\ the\ change\ in\ area?$

a)

1/3

b)

1/6

c)

1/9

d)

2/9

44.

3b + b - 2b

a)

3b

b)

b

c)

2b

45.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

46.

-6k + 7k=

a)

k

b)

-k

c)

12k

d)

-12k

47.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

48.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

49.

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

50.

Simplify the following expression
7 - 8c + 3 - 6c

a)

-10+14c

b)

-25

c)

10-14c

d)

25c

51.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

52.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

53.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

54.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

55.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

56.

Simplify the Expression:

3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

57.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

58.

-3x + 11y - 4x

a)

7x + 11y

b)

-7x + 11y

c)

7x - 11y

d)

4xy

59.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

60.

Rewrite the following expression correctly.
4x + 3 + 3x + 8 + 4

a)

12 + 24 + 4

b)

15 + 7x

c)

10x + 12

d)

7x + 15

61.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

62.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

63.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

64.

Simplify the following expression
7 - 8c + 3 - 6c

a)

-10+14c

b)

-25

c)

10-14c

d)

25c

65.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

66.

-r - 10r

a)

11r

b)

-11r

c)

9r

d)

-11

67.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

68.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

69.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

70.

What is the inverse of subtraction?

a)

multiplication

b)

subtraction

c)

addition

d)

division

71.

What is the inverse of multiplication?

a)

multiplication

b)

subtraction

c)

addition

d)

division

72.

What is the inverse of division?

a)

multiplication

b)

subtraction

c)

addition

d)

division

73.

144=12z
Solve for z.

a)

z=20

b)

z=11

c)

z=12

74.

Solve for x.

a)

x = 20

b)

x = 90

c)

x = 45

75.

What is the inverse of addition?

a)

multiplication

b)

subtraction

c)

division

d)

cornbread

76.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

77.

The school store sells 4 pencils for $0.80. What is the unit cost of a pencil?

a)

$0.20

b)

$0.80

c)

$3.20

d)

$5.00

78.

Which expressions do not have a value of 3?

I. 2 + (-1)

II. 2 - (-1)

III. -3 * (-1)

IV. -3/(-1)

a)

I only

b)

II only

c)

III and IV

d)

I, III, and IV

79.

What is the value of the expression below?

-4\times\left(-6\right)-\left(-5\right)

(a)

80.

The graph below represents which inequality?

a)

$-3-6x<-27$

b)

$2x+6\ ≥\ 14$

c)

$5-3x\ >\ -7$

d)

$2x+3\ ≤\ 11$

81.

The quantities x and y are proportional. What is the missing value in the table?

a)

30

b)

36

c)

45

d)

48

82.

You are selling tomatoes. You have already earned $16 today. How many additional pounds of tomatoes do you need to sell to earn a total of $60?

a)

4

b)

11

c)

15

d)

19

83.

The distance traveled by the a high-speed train is proportional to the number of hours traveled. Which of the following is not a valid interpretation of the graph below?

a)

The train travels 0 kilometers in 0 hours.

b)

The unit rate is 200 kilometers per hour.

c)

After 4 hours, the train is traveling 800 kilometers per hour.

d)

The train travels 800 kilometers in 4 hours.

84.

What value of p makes the equation below true?

6-2p=\ -48

a)

-27

b)

-21

c)

21

d)

27

85.

Find the unit rate. 232 miles in 4 hours.

a)

62 miles per hour

b)

58 miles per hour

c)

56 miles per hour

d)

61 miles per hour

86.

Find the unit rate. $3.60 for 20 ounces

a)

$0.16 per ounrce

b)

$0.18 per ounce

c)

$0.22 per ounce

d)

$0.13 per ounce

87.

Solve. Fill in the blank.

$\frac{24}{28}=\frac{s}{42}$

s = (a)

88.

Solve. Fill in the blank.

\frac{8}{n}=\frac{14}{28}

n = (a)

89.

You are planning a party. Your friend tells you how much she paid for five party grab bags. How much will it cost you to buy eight of the grab bags for your party? The total for the 5 bags is $17.50.

a)

$31.50

b)

$140.00

c)

$45.50

d)

$28.00

90.

Do the ratios form a proportion?

\frac{1}{5}\ ,\ \ \frac{6}{30}

a)

yes

b)

no

91.

Tell whether the ratios form a proportion.

\frac{15}{25}\ \ ,\ \ \ \frac{16}{32}

a)

yes

b)

no

92.

Solve.

\frac{3x}{10}=\frac{9}{4}

Type in as a decimal, no spaces

(a)

93.

Solve.

\frac{5x}{3}=\frac{80}{12}

(a)

94.

Solve.

\frac{7}{2}=\frac{x+1}{6}

(a)

95.

Solve.

\frac{c-3}{6}=\frac{7}{3}

(a)

96.

Solve.

\frac{20}{9}=\frac{10}{s+2}

Type in as a decimal, no spaces

(a)

97.

Is the graph proportional or non proportional?

a)

Proportional

b)

Non-Proportional

98.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it is linear (striaght).

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

99.

The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.

a)

The graph is proportional because the y to x ratio is constant (the same).

b)

The graph is non-proportional because it does not pass through the origin (0,0).

c)

The graph is proportional because it is linear (a straight line).

d)

The graph is non-proportional because it is linear (a straight line).

100.

Which statement best describes the relationship of x and y in the table?

a)

Proportional

b)

Not Proportional

101.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

102.

Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.

a)

Proportional

b)

Non-proportional

103.

Is this table proportional?

a)

Yes

b)

No

104.

Which relationship is an example of a proportional function?

a)

a rental company charges $80 per day and a one-time fee of $24

b)

a taxi ride costs $2 for the first mile and $4 for each additional mile

c)

a gym membership costs $30 per month and an additional annual registration fee of $75

d)

Beverly earns $150 a week for 10 week

105.

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?

a)

39 Computers

b)

4.3 Homes

c)

39 Homes

d)

4.3 Computers

106.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

75 Pieces

b)

27-ounces

c)

27 pieces

d)

75-ounces

107.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?

a)

32 People

b)

32 Min.

c)

12.5 Min.

d)

12.5 People

108.

Solve for x

a)

x = 98/5

b)

x = 5/98

c)

x = 101/5

109.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

110.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

111.

What is a proportion?

a)

When two ratios can be simplified

b)

When two ratios are equivalent and show the same value

c)

When two ratios have the exact same numbers

d)

When two ratios can be multiplied by 2

112.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

113.

Solve the proportion.

a)

10.8

b)

7.5

114.

There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?

a)

8

b)

15

c)

40

d)

29

115.

Why does this graph show a non-proportional relationship?

a)

It doesn't, it is proportional because it is a straight line

b)

It goes through the origin

c)

It does not go through the origin

d)

It is a straight line

116.

REVIEW QUESTION
Which best describes the graph represented in this table?

a)

proportional

b)

non-proportional

117.

The weight of 13 candy bars is 26 ounces. If each candy bar weighs the same amount, what is the weight of 35 candy bars?

a)

78 ounces

b)

52 ounce

c)

70 ounces

d)

2 ounce

118.

A machine can produce 21 yards of fabric in 7 minutes. How much fabric can the machine produce in 1 hour?
(Remember: 1 hour = 60 minutes)

a)

180 yards

b)

210 yards

c)

3 yards

d)

105 yards

119.

If 24 loaves of bread cost $48.00, how much would 10 loaves of bread cost?

a)

$12.00

b)

$24.00

c)

$2.00

d)

$20.00

120.

A chef made 30 donuts in 60 minutes. How long would it take him to make 90 donuts?

a)

15 minutes

b)

180 minutes

c)

120 minutes

d)

240 minutes

121.

Four big water bottles can hold 8 gallons of water. How much water can 3 big water bottles hold?

a)

6 gallons

b)

4 gallons

c)

12 gallons

d)

2 gallons

122.

A photographer can take 12 pictures in 5 minutes. How long will it take him to take 132 pictures?

a)

50 minutes

b)

55 minutes

c)

60 minutes

d)

65 minutes

123.

It takes Mike 18 minutes to finish reading 4 pages of a book. If Mike reads each page at the same pace, how long does it take for him to finish reading 30 pages?

a)

125 minutes

b)

162 minutes

c)

72 minutes

d)

135 minutes

124.

Nathan packs 39 boxes in 3 hours for UPS. If Nathan packs the same number of boxes every hour, how many boxes can he pack in his 8-hour shift?

a)

104 boxes

b)

117 boxes

c)

13 boxes

d)

78 boxes

125.

It took Nora 10 hours to walk a 30-mile trail. How long did it take her to walk 9 miles at the same speed?

a)

4 hours

b)

1 hour

c)

5 hours

d)

3 hours

126.

The total weight of 15 bags of groceries is 45 pounds. If each bag weighs the same amount, how much would 7 bags of groceries weigh?

a)

22.5 pounds

b)

3 pounds

c)

21 pounds

d)

35 pounds

127.

A car travels 120 miles in 3 hours (with a constant speed). How long will it take a car to travel 200 miles?

a)

6 hours

b)

5 hours

c)

4 hours

d)

1 hour

128.

The cost of 50 apples is $25.00. How much would 75 apples cost?

a)

$12.50

b)

$50.00

c)

$37.50

d)

$75.00

129.

Which ratio below is proportional to the ratio 5/6?

a)

6/5

b)

50/75

c)

25/30

d)

12/10

130.

Which ratio is proportional to the ratio 1/5?

a)

2/5

b)

2/10

c)

5/1

d)

15/20

131.

What is a proportion?

a)

When two ratios can be simplified

b)

When two ratios are equivalent and show the same value

c)

When two ratios have the exact same numbers

d)

When two ratios can be multiplied by 2

132.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

133.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

134.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

135.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

136.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

137.

Solve for x

a)

x = 98/5

b)

x = 5/98

c)

x = 101/5

138.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

139.

Solve the proportion.

a)

1

b)

3

c)

6

d)

5

140.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

141.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

142.

Solve for x: x/4 = 6/8

a)

4

b)

2

c)

3

d)

10

143.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

1-6-22a

Total questions: 143

Worksheet time: 6hrs 33mins

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