Free Printable 2nd Periodical Exam Reviewer MATH 9

1.

Which of the following situations represents an inverse variation?

a)

A. The cost of gasoline, which corresponds to the number of liters.

b)

B. The number of persons working to the length of time in finishing the work.

c)

C. The weight of a person compared to his age.

d)

D. The income an employee receives compared to the length of time he works.

2.

Determine the kind of variation that exists in the given equation where "k" is the constant variation. The volume (V) of a rectangular prism whose base with the length (I) and width (W):

a)

A. Direct

b)

B. Inverse

c)

C. Combined

d)

D. Joint

3.

Determine the kind of variation being described in the given situation. The number of persons working compared to the number of days in doing the work, and the amount of work done.

a)

A. Joint

b)

B. Combined

c)

C. Inverse

d)

D. Direct

4.

The given equation I=kprt is translated as:

a)

A. I varies directly as p, r and t

b)

B. I varies inversely as p and r

c)

C. I varies jointly as p, r and t

d)

D. I varies directly as r and inversely as p.

5.

Which of the following graphs represents the given equation y=kx.

a)

b)

c)

d)

6.

Write a^1/2a^2/6a^1/6 into expression with the single rational exponent.

a)

A. a^6/6

b)

B. a^6/24

c)

C. a^4/24

d)

D. a

7.

Which of the following laws represent this expression a⁴ * a⁴ ?

a)

A. a^m * aⁿ = a^m+n

b)

B. (a^m )ⁿ = a^mn

c)

C. a^m / aⁿ = a^m-n

d)

D. (ab)^m = a^mb^m

8.

Which of the following is the simplest form of the expression (5x^-4y⁰)^-1?

a)

x⁴/5

b)

5/x⁴

c)

5x⁴

d)

5x⁴/y

9.

Evaluate [(b^x)^y]^zif x = 1, y=2 and z = -1

a)

1/b²

b)

b²

c)

b^-2

d)

1/b

10.

Using the expression (7a^1/2b⁴)ⁿ, what should be the value of n so that the expression will be equal to 1?

a)

1/2

b)

-1

c)

1

d)

0

11.

What is the equivalent of 16m^-3/5/ 4m^-6/5?

a)

12m^-9/5

b)

4m^-9/5

c)

4m^3/5

d)

12m^3/5

12.

Simplify (6^1/2m^1/2)⁴

a)

6m²

b)

36m²

c)

36m⁴

d)

6m⁴

13.

Which of the following is a true statement?

a)

$\sqrt[]{35}=\sqrt[]{25}+\ \sqrt[]{10}$

b)

$\sqrt[]{35}=\sqrt[]{40}-\ \sqrt[]{5}$

c)

$\sqrt[]{35}=\sqrt[]{7}.\ \sqrt[]{5}$

d)

$\sqrt[]{35}=\ \sqrt[]{30}\ \div\ \sqrt[]{5}$

14.

What is the constant of proportionality in “y varies directly as x, and when

”?

a)

4

b)

-4

c)

5

d)

-5

15.

“y varies directly as x”, and y = 56 when x = 14. What is the value of y when x = 8?

a)

8

b)

16

c)

32

d)

64

16.

The perimeter of a regular hexagon varies directly as the length of its side. If the

length of a side is 6 cm, its perimeter is 36 cm. What is its perimeter if the length of

its side is 9 cm?

a)

42 cm

b)

48 cm

c)

54 cm

d)

60 cm

17.

“y varies inversely as x”, and y =4 when x=6. Which among the following best

describes the equation of the variation?

a)

y = 24x

b)

y = 24/x

c)

y = 2/x

d)

y = 2/x²

18.

The Area of a rectangle varies jointly as its length and width. How is its area

changed if the length is halved, and its width doubled?

a)

halved

b)

doubled

c)

quadrupled

d)

No change

19.

The volume of a right circular cone varies jointly as its height, and the square of its

radius. Which among the following best describes this?

a)

V = krh

b)

V = kr²h

c)

V = krh²

d)

V = k (rh)²

20.

“z varies directly as x, and inversely as the square of y”, and z= 3 when y=2 and

x=6. Find the value of z when x = 3 and y = 4.

a)

z = 3

b)

z = 8

c)

z = 8/3

d)

z = 3/8

21.

The weight of a cylindrical metal bar varies jointly as its length and the square of its

diameter. If the weight of a bar is 63kg, when the length is 63 cm and the diameter

is 3 cm, find the length of a bar when the weight is 10 kg, and of diameter 2 cm.

a)

22.5 cm

b)

45 cm

c)

90 cm

d)

180 cm

22.

Translate the expression containing rational exponents: $\sqrt[3]{2x^2}$

a)

2^1/3x^2/3

b)

2^2/3x^1/3

c)

2^1/3x^1/3

d)

2^2/3x^2/3

23.

Which of the following is the simplest form of $\sqrt[]{24}$

a)

12

b)

$2\sqrt[]{6}$

c)

$2\sqrt[]{12}$

d)

4 $\sqrt[]{6}$

24.

Which of the following is a perfect square and at the same time a perfect cube?

a)

16a⁴

b)

16a⁶

c)

64a⁶

d)

64a⁸

25.

$\sqrt[]{81g^4r^7a^{10}d^{13}e^{16}}$

a)

9g²r³a⁵d⁶e⁸ $\sqrt[]{rd}$

b)

81g²r³a⁵d⁶e⁸ $\sqrt[]{rd}$

c)

9g²r³a⁴d⁵e⁶ $\sqrt[]{grade}$

d)

18g²r³a⁴d⁵e⁶ $\sqrt[]{grade}$

26.

If the simplest form of the radical expression $\sqrt[]{72}$ is in the form of m $\sqrt[]{n}$ which of the

following is the value of mⁿ?

a)

12

b)

26

c)

36

d)

62

27.

Evaluate $3\sqrt[]{5}\ +\ 26\ \sqrt[]{5}-\ 7\sqrt[]{5}$

a)

22 $\sqrt[]{5}$

b)

36 $\sqrt[]{5}$

c)

22 $\sqrt[]{15}$

d)

26 $\sqrt[]{15}$

28.

Which of the following is the value of $6\sqrt[]{3\ }-\ 5\sqrt[]{48}+\ 7\sqrt[]{27}$

a)

-7 $\sqrt[]{3}$

b)

7 $\sqrt[]{3}$

c)

-47 $\sqrt[]{3}$

d)

47 $\sqrt[]{3}$

29.

Give the product of $\left(4\sqrt[]{2}+\ 5\right)\left(2\sqrt[]{8}-3\right)$

a)

-8 $\sqrt[]{2}-\ 17$

b)

$-8\ \sqrt[]{2}+\ 17$

c)

$8\sqrt[]{2}-\ 17$

d)

$8\ \sqrt[]{2}\ +\ 17\$

30.

Find the quotient of $\frac{\sqrt[]{2}}{6-\sqrt[]{5}}$

a)

$7\sqrt[]{15}$

b)

$\frac{7\sqrt[]{12}}{31}$

c)

$\frac{6\sqrt[]{2}\ +\sqrt[]{10}}{31}$

d)

$6\sqrt[]{2}+\sqrt[]{10}$

31.

Which of the following is the first step in solving equation involving radicals?

a)

Isolate the radical on one side of the equation.

b)

Check the answer in the original equation.

c)

Solve the new equation

d)

ARaise both sides of the equation to the power of the index.

32.

Which of the following is the value of x in $\sqrt[]{x}=\ 5$

a)

10

b)

15

c)

20

d)

25

33.

FInd the value of $5\ \sqrt[]{x-2}=\ 20$

a)

4

b)

8

c)

18

d)

36

34.

From a fixed point, Ethan rode a bike heading north for 5 km, then headed due east

for 12 kilometers. How far is he from his starting point?

a)

7 km

b)

13 km

c)

17 km

d)

60 km

35.

The square root of the sum of two consecutive integers is 9. Find the two integers.

a)

40 & 41

b)

41 & 42

c)

42 & 43

d)

43 & 44

2nd Periodical Exam Reviewer MATH 9

Total questions: 35

Worksheet time: 1hrs 20mins

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