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Review 8th

Total questions: 73

Worksheet time: 5hrs 20mins

Name
Class
Date
1.

Which list shows 193, 27, and 7.2\frac{19}{3},\ \sqrt{27},\ and\ 7.2  in order from least to greatest? 

a)

193, 27, 7.2\frac{19}{3},\ \sqrt{27},\ 7.2  

b)

7.2, 27, 1937.2,\ \sqrt{27},\ \frac{19}{3}  

c)

27, 193, 7.2\sqrt{27},\ \frac{19}{3},\ 7.2  

d)

7.2, 193, 277.2,\ \frac{19}{3},\ \sqrt{27}  

2.

Which list shows the numbers  4π, 115, 13π54\pi,\ \sqrt{115},\ \frac{13\pi}{5}  in order from least to greatest? 

a)

4π, 115, 13π54\pi,\ \sqrt{115},\ \frac{13\pi}{5}  

b)

13π5, 115, 4π\frac{13\pi}{5},\ \sqrt{115},\ 4\pi  

c)

115, 4π, 13π5\sqrt{115},\ 4\pi,\ \frac{13\pi}{5}  

d)

115, 13π5, 4π\sqrt{115},\ \frac{13\pi}{5},\ 4\pi  

3.
Order the following from least to greatest.  
1/2,   2%,    2.1 x 10-2,      0.20
a)
2%, 2.1 x 10-2, 1/2, 0.20
b)
2%, 2.1 x 10-2, 0.20, 1/2
c)
0.20, 1/2, 2%, 2.1 x 10-2
d)
2.1 x 10-2, 1/2, 0.20, 2%
4.

Order the following in ASCENDING order.

a)

203\frac{20}{3}  

b)

7.17.1  

c)

51\sqrt[]{51}  

d)

6π6\pi  

1)
2)
3)
4)
5.

Which best describes all possible classifications for this set of numbers?

287, 18,64, 95-\frac{28}{7},\ 18,\sqrt[]{64},\ -95  

I. Whole Numbers

II. Integers

III. Rational Numbers

IV. Real Numbers

a)

I and II only

b)

II and III only

c)

II, III, and IV only

d)

III and IV only

6.

Which diagram correctly displays the relationship between sets of real numbers?

a)
b)
c)
d)
7.

On which number line does point P best represent the location of 86\sqrt[]{86}  ?

a)
b)
c)
d)
8.

Which point on the number line best represents 115\sqrt[]{115}

a)

Point A

b)

Point B

c)

Point C

d)

Point D

9.

What is the value of the number shown below?

6.1×1046.1\times10^{-4}  

a)

61,00061,000  

b)

610,000610,000  

c)

0.00610.0061  

d)

0.000610.00061  

10.

Which choice represents the number below written in scientific notation?

52,500,00052,500,000  

a)

5.25×1055.25\times10^5  

b)

5.25×1075.25\times10^7  

c)

5.25×1055.25\times10^{-5}  

d)

5.25×1075.25\times10^{-7}  

11.

If the blue polygon is the original image, find the scale factor and determine if it is a reduction or enlargement.

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

12.

a)

A

b)

B

c)

C

d)

D

13.
a)

A

b)

B

c)

C

d)

D

14.

Triangle PQR is similar to triangle DEF shown. Which describes the relationship between the corresponding sides of the two triangles?

a)
b)
c)
d)
15.

Rectangle ABCD has a length of 6 and a height of 5. It is dilated by a scale factor of 3.


What is true about the perimeter of A'B'C'D', the new rectangle?

a)

The perimeter of A'B'C'D' is the same as the perimeter of ABCD

b)

The perimeter of A'B'C'D' is the 3 times larger than the perimeter of ABCD

c)

The perimeter of A'B'C'D' is the 6 times larger than the perimeter of ABCD

d)

The perimeter of A'B'C'D' is the 9 times larger than the perimeter of ABCD

16.

Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

a)

72 square feet

b)

18 square feet

c)

36 square feet

d)

54 square feet

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

F

b)

G

c)

H

d)

J

19.
a)

A

b)

B

c)

C

d)

D

20.
a)

A

b)

B

c)

C

d)

D

21.
a)

A

b)

B

c)

C

d)

D

22.
a)

A

b)

B

c)

C

d)

D

23.
a)

A

b)

B

c)

C

d)

D

24.
a)

F

b)

G

c)

H

d)

J

25.
a)

A

b)

B

c)

C

d)

D

26.
a)

F

b)

G

c)

H

d)

J

27.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=14x

b)

y=7x

c)

y=2x

d)

y=6x

28.

Which 2 graphs show a non-proportional relationship between x and y?

a)
b)
c)
d)
29.
Mama Mia’s Pizza sells medium pizza for $7 each and charges a $2 delivery fee per order. Which describes this relationship?
a)

a non-proportional function with a y-intercept of 2

b)

a non-proportional function with a y-intercept of 7

c)

a proportional function with a y-intercept of 2

d)

a proportional function with a y-intercept of 7 

30.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

31.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
32.

Which representation shows y as a function of x?

a)

A

b)

B

c)

c

d)

D

33.

Which set of ordered pairs represents y as a function of x?

a)

A

b)

B

c)

C

d)

D

34.

Which statement describes the mapping?

a)

The mapping represent y as a function of x, because each y-value corresponds to exactly one x-value.

b)

The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value.

c)

The mapping represent y as a function of x, because each x-value corresponds to exactly one y-value.

d)

The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

35.
a)

A

b)

B

c)

C

d)

D

36.
a)

-7

b)

7

c)

6

d)

-6

37.
a)

F

b)

G

c)

H

d)

J

38.

Which could not be a proportional situtation?

a)

The number of gallons of water in x barrels with 42 gallons of water in each barrel

b)

The amount an employee who makes $8.50 per hou ears in h hours

c)

The weight in a x weeks of a puppy that gains 2 pounds oer week if its starting weight is 8 pounds

d)

The cost of purchasing p pounds of bananas for $0.55 per pound

39.

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

a)

The sum of the areas of square A and square C is equal to the area of square B.

b)

The sum of the areas of square B and square C is equal to the area of square A.

c)

The sum of the areas of square of C and Square B and square A equal to the area of square C.

d)

The sum of the areas of square A and Square B is equal to the area of square C.

40.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
41.

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

a)

9 ft.

b)

17 ft.

c)

12.4 ft.

d)

13.6 ft.

42.

Which measurements could not represent the side lengths of a right triangle?

a)

6 cm, 8 cm, 10 cm

b)

12 cm, 35 cm, 37 cm

c)

4 cm, 6 cm, 10 cm

d)

10 cm, 24 cm, 26 cm

43.
a)

2.6 mi

b)

1.9 mi

c)

1.4 mi

d)

2.3 mi

44.

What is the distance between the two points?

a)

12.6

b)

11.8

c)

12.7

d)

12

45.

Pythagorean Theorem

a)

A / F

b)

B / G

c)

C / H

d)

D / J

46.
a)

F

b)

G

c)

H

d)

J

47.
a)

F

b)

G

c)

H

d)

J

48.
a)

F

b)

G

c)

H

d)

J

49.
a)

A

b)

B

c)

C

d)

D

50.
a)

F

b)

G

c)

H

d)

J

51.
a)

F

b)

G

c)

H

d)

J

52.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
53.

Find the volume of the cylinder. Round to the nearest tenth. (ONLY INPUT THE NUMBERS - NO UNITS)

(a)  

54.

Find the volume of the sphere. Round to the nearest tenth. (ONLY INPUT THE NUMBERS - NO UNITS)

(a)  

55.

Find the volume of the cone. Round to the nearest tenth. (ONLY INPUT THE NUMBERS - NO UNITS)

(a)  

56.

Which equation can be used to find V the volume of the cylinder in cubic inches?

a)

π (6)2(10)

b)

π (10)2(6)

c)

π (3)2(6)

d)

π (5)2(6)

57.

Which equation can be used to find V, the volume of the cylinder in cubic centimeters?

a)

π (4)2(15)

b)

π (2)2(15)

c)

π (8.5)2(4)

d)

π (15)2(4)

58.
a)

A

b)

B

c)

C

d)

D

59.
a)

9

b)

18

c)

270

d)

90

60.
a)

F

b)

G

c)

H

d)

J

61.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone. 
b)
The cone is 1/3 the volume of the cylinder. 
c)
They have the same volume. 
d)
Their volumes are not related at all. 
62.

Quadrilateral E'F'G'H' is a transformation of EFGH. Which rule describes this transformation?

a)

A. (x, y) --> (x - 4, y + 6)

b)

B. (x, y) --> (x - 4, y - 6)

c)

C. (x, y) --> (x + 4, y + 6)

d)

D. (x, y) --> (x + 6, y + 4)

63.

Pentagon R'S'T'U'V' is a transformation of RSTUV. Which rule describes this transformation?

a)

A. (x, y) --> (x, -y)

b)

B. (x, y) --> (-y, x)

c)

C. (x, y) --> (-x, -y)

d)

D. (x, y) --> (y, -x)

64.

A figure is reflected across the y-axis to create a new figure. Which rules describes this transformation?

a)

A. (x, y) --> (-x, y)

b)

B. (x, y) --> (x, -y)

c)

C. (x, y) --> (-x, -y)

d)

D. (x, y) --> (y, x)

65.

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'.

a)

(x,y)(x, y)\left(x,y\right)\rightarrow\left(x,\ -y\right)  

b)

(x,y)(x, y+8)\left(x,y\right)\rightarrow\left(x,\ y+8\right)  

c)

(x,y)(y, x)\left(x,y\right)\rightarrow\left(-y,\ x\right)  

d)

(x,y)(x, y)\left(x,y\right)\rightarrow\left(-x,\ y\right)  

66.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 140 pages. 
a)
12 chapters
b)
19 chapters
c)
14 chapters
d)
21 chapters
67.
1.  Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 
a)
65
b)
92
c)
70
d)
76
68.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
69.
Find the MAD for the following set: 85, 90, 68, 75, 79
a)
79.4
b)
6.48
c)
32.4
d)
79
70.

Ben deposits $1,750 into each of two savings accounts.

Account 1 earns 2.75% annual simple interest.

Account 2 earns 2.75% interest compounded annually.

Ben does not make any additional deposits or withdrawals. Which amount is closest to the difference between the interest Ben will earn in Account 1 and the interest Ben will earn in Account 2 at the end of 2 years?

a)

$96.25

b)

$1.32

c)

$97.57

d)

$193.82

71.

A student's parents invested $5,000 in a college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

Which amount is closest to the interest earned on the account at the end of 15 years?

a)

$5,174.11

b)

$10,174.11

c)

$3,637.50

d)

$8,637.50

72.

An investor puts $2,500 into a life insurance policy that pays 8.5% simple annual interst. If no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 10 years?

a)

$21,250.00

b)

$2,125.00

c)

$212.50

d)

$21.25

73.

Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?

a)

$1,800

b)

$600

c)

$450

d)

$1,873