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7 HW 46+ALLCAASPP TUE

Total questions: 91

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

-1 x 1 x 1 x -1

2.

Enter the value of 6 • (7.5 - 4.5)

a)
18
b)
30
c)
12
d)
22
3.

Enter the difference, in degrees, between the record low temperatures in Hawaii and Montana.

a)

50

b)

52

c)

80

d)

82

4.

Select the expression equivalent to (6x + 8) + (−3x + 12).

a)
3x + 20
b)
9x + 20
c)
2x + 15
d)
4x + 10
5.

Select expression that are equivalent to 2.5 + 2 (-4x + 3) - 5.5x

a)

2.5 + 2 (-4x + 3) - 5.5x

b)

2.5 - 2 (-4x + 3) + 5.5x

c)

2.5 - 13.5x

d)

2.5 + 2 (-4x + 3) + 5.5x

6.

Enter the decimal equivalent of (15/6).

(a)  

7.

Enter the value of c when the expression 20.4x + c is equivalent to 10.2 (2x - 1.2)

Translate word into number:
20.4x + c = 10.2 (2x - 1.2)

4 lines
8.

Select value equivalent to 25-\frac{2}{5} .

a)

-2 / -5

b)
  • - (-2) / (-5)

c)

2 / 5

d)

2 / -5

9.

A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose.

a)

Students randomly selected from a list of all students at the school.

b)

Students sitting at randomly selected tables in the library.

c)

Students she selects from the hallway between classes.

d)

Students selected by the teachers.

10.

Jenny has $20 and she earns $5 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $45. Enter the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.

(a)  

11.

How many grams of peanuts are there for every 1 gram of raisins according to the table?

a)

3.5 grams

b)

2.5 grams

c)

4.5 grams

d)

3 grams

12.

If Figure A is a scale image of Figure B with a scale factor of 1 : 73\frac{7}{3} , and the side length of Figure A is 3, what is the value of x, the corresponding side length of Figure B?

a)

4.00

b)
6.25
c)

7.00

d)
7.5
13.

Lisa wrote the expression (3 + 6x) - 2(x + 1) + 5.

In which step did Lisa first make a mistake, and what is a correct expression for that step?

a)

Step 1 was wrong:
This is how to fix: 3(1 + 3x) - 2(x + 1) + 5

b)

Step 1 was wrong:
This is how to fix: 3(1 + 2x) - 2(x + 1) + 5

c)

Step 3 was wrong:
This is how to fix: 5(x + 1) + 5

d)

Step 3 was wrong:
This is how to fix: 6(x + 1) + 5

14.

Calculate the area, in square inches, of the figure shown.

a)

119

b)

120

c)

190

d)

191

e)

118

15.

Sara buys a sweater at a department store. The sweater costs $50. The store is having a 25% off sale on everything in the store.

Enter the amount of money, in dollars, Sara have to pay after discount. 

a)

$37.5

b)

$38.5

c)

$39.5

d)

$40.5

16.

The circumference of a circle is approximately 62.8 centimeters. What is the radius of the circle in centimeters when rounded to the nearest whole number?
(Use the approximation π ≈ 3.14)

a)
15
b)
8
c)
10
d)
12
17.

Enter a fraction that shows Maria's claim is correct. Maria claims that any fraction located between 13\frac{1}{3} and 15\frac{1}{5} on a number line must have a denominator of 4.

a)

0 / 4

b)

1 / 4

c)

2 / 4

d)

3 / 4

18.

Lenny bought a motorcycle. He paid 15% in tax. The tax added $300 to the price of the motorcycle. What was the price of the motorcycle, not including the tax?

a)
$2000
b)
$3500
c)
$2500
d)
$1500
19.

Calculate the volume of water in rectangular tank

a)

377 cm2

b)

277 cm2

c)

378 cm2

d)

278 cm2

20.

Match the following

a)

Right Angle

1.

Angle is 90 degrees

b)

Obtuse Angle

2.

Angle is More than 90 degrees

c)

Acute Angle

3.

Angle is less than 90 degrees

d)

Straight Ang;e

4.

Angle is 180 degrees

21.

Match the following

a)

Volume of Rectangular Prism

1.

Length x Width x Height

b)

Volume of Triangular Prism

2.

1/2 x Base x Height x Length

c)

Perimeter

3.

Sum of all sides

d)

Circumference of Circle

4.

π x 2 x radius

OR

π x Diameter

22.

Match the following

a)

Surface Area

1.

The sum of all the areas of all surfaces

b)

Volume of a Cylinder

2.

The amount of space occupied in cylinder

c)

3.

A picture of surface area

d)

4.

A picture of volume of cylinder

23.

Negative # x Positive # is...

a)

Positive

b)

Negative

24.

Negative # x Negative # is

a)

Positive

b)

Negative

25.

Perform the indicated operation: (7)(8)(-7)(-8)  

a)

15-15  

b)

5656  

c)

56-56  

d)

5454  

26.

Enter the value of 5 x (13.5 - 4.5).

a)

45

b)

40

c)

50

d)

55

27.

Enter the difference, in degrees, between the record low temperatures in Hawaii and South Dakota.

a)

70

b)

60

c)

50

d)

40

28.

Select the expression equivalent to (4x + 3) + (-2x + 4).

a)

-2x + 12

b)

-8x + 12

c)

6x + 7

d)

2x + 7

29.

Enter the decimal equivalent of 118\frac{11}{8} .

a)

1.375

b)

1.25

c)

1.5

d)

1.125

30.

Select all values equivalent to 107-\frac{10}{7} .

a)

107-\frac{10}{7}

b)

-3 17\frac{1}{7}

c)

1371\frac{3}{7}

d)

107-\frac{10}{7}

e)

-1 37\frac{3}{7}

31.

A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose.

a)

Students randomly selected from a list of all students at the school.

b)

Students sitting at randomly selected tables in the library.

c)

Students she selects from the hallway between classes.

d)

Students selected by the teachers.

32.

Enter the difference, in degrees, between the record low temperatures in Hawaii and South Dakota.

a)

70

b)

60

c)

50

d)

40

33.

Select the expression equivalent to (4x + 3) + (-2x + 4).

a)

-2x + 12

b)

-8x + 12

c)

6x + 7

d)

2x + 7

34.

Select all expressions that are equivalent to -3.75 + 2(-4x + 6.1) - 3.25x.

a)

7x - 2x + 8.1

b)

8.45 - 8x - 3.25x

c)

-1.75 - 7.25x + 6.1

d)

-11.25x + 12.2 - 3.75

35.

Enter the decimal equivalent of 118\frac{11}{8} .

a)

1.375

b)

1.25

c)

1.5

d)

1.125

36.

Enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x – 2.6).

a)

-13.78

b)

-10.78

c)

-15.78

d)

-12.78

37.

Select all values equivalent to 107-\frac{10}{7} .

a)

107-\frac{10}{7}

b)

-3 17\frac{1}{7}

c)

1371\frac{3}{7}

d)

107-\frac{10}{7}

e)

-1 37\frac{3}{7}

38.

A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose.

a)

Students randomly selected from a list of all students at the school.

b)

Students sitting at randomly selected tables in the library.

c)

Students she selects from the hallway between classes.

d)

Students selected by the teachers.

39.

Jenny has 25 and she earns25\ and\ she\ earns 10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65. Enter the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.

a)

4

b)

5

c)

6

d)

7

40.

Enter the number of grams of peanuts in a bag for every 1 gram of raisins.

4 lines
41.

A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random. Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement. It is impossible that a green marble will be selected.

a)

True

b)

False

42.

Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. It is unlikely that a yellow marble will be selected.

a)

True

b)

False

43.

A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random. Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement. It is certain that a blue marble will be selected.

a)

True

b)

False

44.

David goes into a candy store with 5.00. He buys 9 peppermints for5.00.\ He\ buys\ 9\ pepper\min ts\ for 0.15 each, and some sour candies. Each sour candy costs $0.25. What is the maximum number of sour candies David can buy?

a)

10

b)

11

c)

12

d)

13

45.

Sara buys a sweater at a department store. The sweater costs $30. The store is having a 25% off sale on everything in the store. Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.

a)

$5

b)

$7.50

c)

$10

d)

$12.50

46.

An electrician is hired to install outdoor lighting. The electrician claims that the relationship between the number of hours worked and the total work fee is proportional. The fee for 5 hours of work is $225. Select all combinations of values for the electrician’s work hours and total work fee that support the claim that the relationship between the two values is proportional.

a)

6 hours and $270

b)

6.5 hours and $315

c)

8 hours and $360

d)

8.75 hours and $380

e)

9.5 hours and $427.50

47.

Figure A is a scale image of Figure B, as shown. The scale that maps Figure A onto Figure B is 1:7.25. Enter the value of x.

a)

21.75 or 21 3/4.

b)

15.5 or 15 1/2.

c)

10.25 or 10 1/4.

d)

5.75 or 5 3/4.

48.

In which step did Lisa first make a mistake, and what is a correct expression for that step?

a)

Step 1; 3(1 + 3x) - 2(x + 1) + 5

b)

Step 1; 3(1 + 2x) - 2(x + 1) + 5

c)

Step 3; 5(x + 1) + 5

d)

Step 3; 6(x + 1) + 5

49.

The factory uses 4 gallons of water when it is in operation for 4000 hours. True or False?

a)

True

b)

False

50.

Point W represents the number of gallons of water used when the factory is in operation for 7 hours. True or False?

a)

True

b)

False

51.

The factory uses 9000 gallons of water when it is in operation for 9 hours. True or False?

a)

True

b)

False

52.

The figure shown is created by joining two rectangles. Enter the area, in square inches, of the figure.

a)

20 square inches

b)

1375 square inches

c)

1200 square inches

d)

2700 square inches

53.

Alfonso went to Famous Sam's Appliance Store and purchased a refrigerator and a stove. The sale price of the refrigerator was 40% off the original price and the sale price of the stove was 20% off the original price. Which statement must be true to conclude that Alfonso received a 30% overall discount on the refrigerator and the stove together?

a)

The sale prices of the refrigerator and the stove were the same.

b)

The original prices of the refrigerator and the stove were the same.

c)

The sale price of the refrigerator was twice the sale price of the stove.

d)

The original price of the refrigerator was twice the original price of the stove.

54.

Select all tables that represent a proportional relationship between x and y.

a)

Table 1: x: 0, 1/5, 2/5, 3/5 y: 0, 1/10, 2/10, 3/10

b)

Table 2: x: 0, 1/2, 1/3, 1/4 y: 0, 1/3, 1/4, 1/5

c)

Table 3: x: 0, 1, 3, 5 y: 0, 1, 9, 25

d)

Table 4: x: 0, 1, 3, 4 y: 0, 5, 15, 20

55.

The circumference of a circle is approximately 37.7 centimeters. Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.

a)

6

b)

5

c)

7

d)

8

56.

Drag the correct arrow onto the number line to represent the solution of the inequality 6x - 4 < 8.

a)

x < 2

b)

x > 2

c)

x < -2

d)

x > -2

57.

Maria claims that any fraction located between 15\frac{1}{5} and 17\frac{1}{7} on a number line must have a denominator of 6. Which of the following fractions shows Maria’s claim is incorrect?

a)

16\frac{1}{6}

b)

18\frac{1}{8}

c)

320\frac{3}{20}

d)

215\frac{2}{15}

58.
a)

4500 > 1500 + 30m

b)

4500 < 1600 + 30m

c)

5000 > 1500 + 30m

d)

5000 < 1500 +40m

59.

Lenny bought a motorcycle. He paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle. What was the price of the motorcycle, not including the tax?

a)

$10,000

b)

$11,500

c)

$12,000

d)

$11,000

60.

Determine the straight line distance, in miles, from Gladville to Columbus.

a)

50 miles

b)

75 miles

c)

100 miles

d)

125 miles

61.

Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall. Johnny puts planting soil in the delivery truck until the truck is 70% full. What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% full?

a)

20 times

b)

22 times

c)

24 times

d)

26 times

62.

Enter the value of 5 * (13.5 - 4.5).

a)

45

b)

50

c)

55

d)

60

63.

Identify the difference, in degrees, between the record low temperature in Hawaii and South Dakota.

a)

46°F

b)

50°F

c)

70°F

d)

80°F

64.

Select the expression equivalent to [4x + 3] + [-2x + 4].

a)

-2x + 12

b)

6x + 7

c)

-8x + 12

d)

2x + 7

65.

Select all expressions that are equivalent to -3.75 + 2(-4x + 6.1) - 3.25x.

a)

7x - 2x + 8.1

b)

8.45 - 8x - 3.25x

c)

-1.75 - 7.25x + 6.1

d)

-11.25x + 12.2 - 3.75

66.

Enter the decimal equivalent of 118\frac{11}{8} .

a)

1.375

b)

1.25

c)

1.5

d)

1.125

67.

Enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x - 2.6).

a)

-13.78

b)

-12.78

c)

-14.78

d)

-15.78

68.

Select all values equivalent to 107-\frac{10}{7} .

a)

107-\frac{-10}{-7}

b)

317-3\frac{1}{7}

c)

107\frac{-10}{-7}

d)

137-1\frac{3}{7}

e)

1371\frac{3}{7}

69.

A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose.

a)

Students randomly select from list of all students at the school.

b)

Students sitting at randomly selected tables in the library.

c)

Students she selects from the hallway between classes.

d)

Students selected by the teachers.

70.

Jenny has $25 and earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.

Find the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.

a)

3 lawns

b)

4 lawns

c)

5 lawns

d)

6 lawns

71.

This table shows a proportional relationship between the grams of peanuts and raisins in a bag of trail mix.

Find the number of grams of peanuts in a bag for every 1 gram of raisins.

a)

2 grams

b)

3 grams

c)

3.5 grams

d)

4 grams

72.

A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles.

One marble is selected at random.

Determine which statement correctly describes the likelihood of an event based on the given bag of marbles.

a)

It is impossible that a green marble will be selected.

b)

It is unlikely that a yellow marble will be selected.

c)

It is certain that a blue marble will be selected.

d)

It is unlikely that a red marble will be selected.

73.

David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each, and some sour candies. Each sour candy costs $0.25. How many sour candies can David buy?

a)

14 sour candies

b)

4 sour candies

c)

13 sour candies

d)

146 sour candies

74.

Sara buys a sweater at a department store. The sweater costs $30. The store is having a 25% off sale on everything in the store. Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.

a)

$7.50

b)

$5.00

c)

$10.00

d)

$6.00

75.

An electrician is hired to install outdoor lighting. The electrician claims that the relationship between the number of hours worked and the total work fee is proportional. The fee for 5 hours of work is $225. Select all combinations of values for the electrician’s work hours and total work fee that support the claim that the relationship between the two values is proportional.

a)

6 hours and $270

b)

6.5 hours and $315

c)

8 hours and $360

d)

8.75 hours and $380

e)

9.5 hours and $427.50

76.

Figure A is a scale image of Figure B, as shown.

a)

75

b)

7.25

c)

21.75

d)

3

77.

Lisa wrote the expression (3 + 6x) - 2(x + 1) + 5.

She simplified the expression using the steps in the picture.

Lisa says that (3 + 6x) - 2(x + 1) + 5 = x + 6.

Lisa’s statement is incorrect.

In which step did Lisa first make a mistake, and what is a correct expression for that step?

a)

Step 1:

3(1 + 3x) - 2(x + 1) + 5

b)

Step 1:

3(1 + 2x) - 2(x + 1) + 5

c)

Step 3:

5(x + 1) + 5

d)

Step 3:

6(x + 1) + 5

78.

This graph shows a proportional relationship between the number of hours a factory is in operation and the number of gallons of water used.

Select which statement is TRUE about the graph.

a)

The factory uses 4 gallons of water when it is in operation for 4000 hours.

b)

Point W represents the number of gallons of water used when the factory is in operation for 7 hours.

c)

The factory uses 9000 gallons of water when it is in operation for 9 hours.

79.

Enter the area, in square inches, of the figure created by joining two rectangles.

a)

1375 square inches

b)

1050 square inches

c)

1200 square inches

d)

1150 square inches

80.

Alfonso went to Famous Sam's Appliance Store and purchased a refrigerator and a stove. The sale price of the refrigerator was 40% off the original price and the sale price of the stove was 20% off the original price

Which statement must be true to conclude that Alfonso received a 30% overall discount on the refrigerator and the stove together?

a)

The sale prices of the refrigerator and the stove were the same.

b)

The original prices of the refrigerator and the stove were the same.

c)

The sale price of the refrigerator was twice the sale price of the stove.

d)

The original price of the refrigerator was twice the original price of the stove.

81.

Select all tables that represent a proportional relationship between x and y.

a)

b)

c)

d)

82.

The circumference of a circle is approximately 37.7 centimeters. What is the radius of the circle, rounded to the nearest whole number?

a)

6 cm

b)

12 cm

c)

18 cm

d)

24 cm

83.

Which of the following represents the graph of the solution of 6x - 4 < 8?

a)

b)

c)

d)

84.

Maria claims that any fraction located between 15\frac{1}{5} and 17\frac{1}{7} on a number line must have a denominator of 6.

Which fraction shows Maria’s claim is incorrect?

a)

635\frac{6}{35}

b)

16\frac{1}{6}

c)

66

d)

135\frac{1}{35}

85.

A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide, and 10 inches long.

What is the maximum number of small boxes (2 in x 2 in x 4 in) that can fit inside the large box?

a)

20 small boxes

b)

40 small boxes

c)

100 small boxes

d)

80 small boxes

86.

Lenny bought a motorcycle and paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle. What was the price of the motorcycle, not including the tax?

a)

$10,000

b)

$11,500

c)

$12,000

d)

$13,000

87.

These two maps show the same area at two different scales.

  1. Riverside and Gladville are 6.8 cm apart on Map A,

  2. Riverside and Gladville are 3.4 cm apart on Map B,

  3. and Gladville and Columbus are 1.8 cm apart on Map B.

Determine the straight line distance, in miles, from Gladville to Columbus.

a)

36 miles

b)

144 miles

c)

72 miles

d)

1.8 miles

88.

Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall. Johnny puts plating soil in the delivery truck until the truck is 70% full.

 

What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% full?

a)

30 times

b)

35 times

c)

42 times

d)

45 times

89.

Enter the value of 5 x (13.5 - 4.5).

a)

45

b)

40

c)

50

d)

55

90.

Enter the difference, in degrees, between the record low temperatures in Hawaii and South Dakota.

a)

70

b)

60

c)

50

d)

40

91.

Select the expression equivalent to (4x + 3) + (-2x + 4).

a)

-2x + 12

b)

-8x + 12

c)

6x + 7

d)

2x + 7